• DML-CZ Home

34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions (93 articles)

• Morales Macías, María Guadalupe: Cauchy problem with Denjoy-Stieltjes integral. (English). Mathematica Bohemica, vol. 149 (2024), issue 4, pp. 471-490
• Çelik, Canan; Develi, Faruk: On the stability analysis of Darboux problem on both bounded and unbounded domains. (English). Applications of Mathematics, vol. 69 (2024), issue 1, pp. 139-150
• Onitsuka, Masakazu: Approximation of limit cycle of differential systems with variable coefficients. (English). Archivum Mathematicum, vol. 59 (2023), issue 1, pp. 85-97
• Fischer, Cyril; Náprstek, Jiří: Identification of quasiperiodic processes in the vicinity of the resonance. (English). In: Chleboun, J., Kůs, P., Papež, J., Rozložník, M., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Jablonec nad Nisou, June 19-24, 2022. Institute of Mathematics CAS, Prague, 2023. pp. 57-64
• Bhairat, Sandeep P.; Dhaigude, Dnyanoba-Bhaurao: Existence of solutions of generalized fractional differential equation with nonlocal initial condition. (English). Mathematica Bohemica, vol. 144 (2019), issue 2, pp. 203-220
• Bendouma, Bouharket; Cabada, Alberto; Hammoudi, Ahmed: Existence results for systems of conformable fractional differential equations. (English). Archivum Mathematicum, vol. 55 (2019), issue 2, pp. 69-82
• Ashordia, Malkhaz: On the opial type criterion for the well-posedness of the Cauchy problem for linear systems of generalized ordinary differential equations. (English). Mathematica Bohemica, vol. 141 (2016), issue 2, pp. 183-215
• Bolojan, Octavia; Infante, Gennaro; Precup, Radu: Existence results for systems with nonlinear coupled nonlocal initial conditions. (English). Mathematica Bohemica, vol. 140 (2015), issue 4, pp. 371-384
• Abbas, Umber; Lupulescu, Vasile; O'Regan, Donald; Younus, Awais: Neutral set differential equations. (English). Czechoslovak Mathematical Journal, vol. 65 (2015), issue 3, pp. 593-615
• Heinemann, Christian; Kraus, Christiane: Degenerating Cahn-Hilliard systems coupled with mechanical effects and complete damage processes. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 315-331
• Li, Xuezhu; Medveď, Milan; Wang, Jin Rong: Generalized Boundary Value Problems for Nonlinear Fractional Langevin Equations. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 53 (2014), issue 2, pp. 85-100
• Vampolová, Jana: On Existence and Asymptotic Properties of Kneser Solutions to Singular Second Order ODE. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 52 (2013), issue 1, pp. 135-152
• Yankson, Ernest: Existence and positivity of solutions for a nonlinear periodic differential equation. (English). Archivum Mathematicum, vol. 48 (2012), issue 4, pp. 261-270
• Pražák, Dalibor; Rajagopal, Kumbakonam R.: Mechanical oscillators described by a system of differential-algebraic equations. (English). Applications of Mathematics, vol. 57 (2012), issue 2, pp. 129-142
• Rohleder, Martin: On the Existence of Oscillatory Solutions of the Second Order Nonlinear ODE. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 51 (2012), issue 2, pp. 107-127
• Mejstrik, Thomas: Some remarks on Nagumo's theorem. (English). Czechoslovak Mathematical Journal, vol. 62 (2012), issue 1, pp. 235-242
• Zubelevich, Oleg: A note on existence theorem of Peano. (English). Archivum Mathematicum, vol. 47 (2011), issue 2, pp. 83-89
• Pražák, Dalibor: Remarks on the uniqueness of second order $\rm ODEs$. (English). Applications of Mathematics, vol. 56 (2011), issue 1, pp. 161-172
• Pekárková, Eva: Estimations of noncontinuable solutions of second order differential equations with $p$-Laplacian. (English). Archivum Mathematicum, vol. 46 (2010), issue 2, pp. 135-144
• Zhang, Shuqin: Existence of positive solution of a singular partial differential equation. (English). Mathematica Bohemica, vol. 133 (2008), issue 1, pp. 29-40
• Halas, Zdeněk: Continuous dependence of solutions of generalized linear ordinary differential equations on a parameter. (English). Mathematica Bohemica, vol. 132 (2007), issue 2, pp. 205-218
• Mortici, Cristinel: The distance between fixed points of some pairs of maps in Banach spaces and applications to differential systems. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 2, pp. 689-695
• Mortici, Cristinel: Approximation methods for solving the Cauchy problem. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 3, pp. 709-718
• Salem, Hussein A. H.; El-Sayed, Ahmed M. A.: Weak solution for fractional order integral equations in reflexive Banach spaces. (English). Mathematica Slovaca, vol. 55 (2005), issue 2, pp. 169-181
• Jankowski, Tadeusz: An extension of the method of quasilinearization. (English). Archivum Mathematicum, vol. 39 (2003), issue 3, pp. 201-208
• Fang, Hui: Positive periodic solutions of $N$-species neutral delay systems. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 3, pp. 561-570
• Tabor, Jacek: Differential equations in metric spaces. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 353-360
• Pospíšil, Zdeněk: Logistic equation on measure chains. (English). In: Kuben, J. and Vosmanský, J. (eds.): Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 2] Papers. Masaryk University, Brno, 2002. pp. 339-347
• Kusahara, Toshiaki; Usami, Hiroyuki: A barrier method for quasilinear ordinary differential equations of the curvature type. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 1, pp. 185-196
• Kalas, Josef: The use of Lyapunov functions in uniqueness and nonuniqueness theorems. (English). Archivum Mathematicum, vol. 36 (2000), issue 5, pp. 469-476
• Herzog, Gerd: On one-sided estimates for row-finite systems of ordinary differential equations. (English). Mathematica Bohemica, vol. 124 (1999), issue 1, pp. 67-76
• Tsamatos, P. Ch.: Boundary value problems for functional-differential equations with nonlinear boundary conditions. (English). Archivum Mathematicum, vol. 34 (1998), issue 2, pp. 257-266
• Kalas, Josef: Nonuniqueness results for ordinary differential equations. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 2, pp. 373-384
• Ligęza, Jan: Remarks on generalized solutions of ordinary linear differential equations in the Colombeau algebra. (English). Mathematica Bohemica, vol. 123 (1998), issue 3, pp. 301-316
• Petruşel, Adrian: Fixed points for multifunctions on generalized metric spaces with applications to a multivalued Cauchy problem. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 4, pp. 657-663
• Adamec, Ladislav: Kinetical systems. (English). Applications of Mathematics, vol. 42 (1997), issue 4, pp. 293-309
• O'Regan, Donal: Landesman Lazer type results for first order periodic problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 2, pp. 297-308
• Bugajewski, Dariuss; Wójtowicz, Daria: On the equation $x_{ap}^{(n)}=f(t,x)$. (English). Czechoslovak Mathematical Journal, vol. 46 (1996), issue 2, pp. 325-330
• Majorana, Armando; Marano, Salvatore A.: Boundary value problems for higher order ordinary differential equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 3, pp. 451-466
• Tvrdý, Milan: Linear distributional differential equations of the second order. (English). Mathematica Bohemica, vol. 119 (1994), issue 4, pp. 415-436
• Jankowski, Tadeusz: On the existence of solutions and one-step method for functional-differential equations with parameters. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 2, pp. 193-208
• Lee, John W.; O'Regan, Donal: Existence results for differential equations in Banach spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 2, pp. 239-251
• Ligęza, Jan: Generalized solutions of ordinary linear differential equations in the Colombeau algebra. (English). Mathematica Bohemica, vol. 118 (1993), issue 2, pp. 123-146
• Pelant, Martin; Tvrdý, Milan: Linear distributional differential equations in the space of regulated functions. (English). Mathematica Bohemica, vol. 118 (1993), issue 4, pp. 379-400
• Grande, Zbigniew: On a theorem of Browder. (English). Mathematica Slovaca, vol. 43 (1993), issue 3, pp. 293-299
• Došlá, Zuzana; Zezza, PierLuigi: Quadratic functionals with a variable singular end point. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 3, pp. 411-425
• Grande, Zbigniew: A theorem about Carathéodory's superposition. (English). Mathematica Slovaca, vol. 42 (1992), issue 4, pp. 443-449
• Magomedov, A. R.: Теоремы о существовании и единственности решений дифференциальных уравнений с максимумами, содержащих функциональный параметр. (Russian) [Existence and uniqueness theorems for solutions of differential equations with maxima containing a functional parameter]. Archivum Mathematicum, vol. 28 (1992), issue 2, pp. 139-154
• Emmanuele, Giovanni: Existence of solutions of perturbed O.D.E.'s in Banach spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 3, pp. 463-470
• Futák, Ján: On the existence of solutions of operator-differential equations. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 30 (1991), issue 1, pp. 203-210
• Šeda, Valter; Pekár, Ján: On some properties of the solution of the differential equation $u''+\frac{2u'}{r}=u-u^3$. (English). Aplikace matematiky, vol. 35 (1990), issue 4, pp. 315-336
• Kurzweil, Jaroslav; Schwabik, Štefan: Ordinary differential equations the solution of which are $ACG_*$-functions. (English). Archivum Mathematicum, vol. 26 (1990), issue 2, pp. 129,130-136
• Voskresenskij, E. V.: Asymptotic equivalence and homeomorphism of the families of endomorphisms and surjections of the metrizable vector fibering. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 4, pp. 737-741
• Fraňková, Dana: Continuous dependence on a parameter of solutions of generalized differential equations. (English). Časopis pro pěstování matematiky, vol. 114 (1989), issue 3, pp. 230-261
• Došlá, Zuzana; Došlý, Ondřej: A remark on uniqueness criteria for initial value problem. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 3, pp. 447-453
• Lemmert, Roland: Zur Eindeutigkeitsbedingung von Nagumo. (German) [On the uniqueness condition of Nagumo]. Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 2, pp. 293-294
• Rachůnková, Irena: On a nonlinear problem for third-order differential equations. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 27 (1988), issue 1, pp. 225-249
• Kurzweil, Jaroslav: Diferenciální rovnice v ČSR v letech 1945-1985. (Czech) [Differential equations in the Czechoslovakia during the years 1945-1985]. Pokroky matematiky, fyziky a astronomie, vol. 32 (1987), issue 3, pp. 138-145
• Neumann, Jan: An abstract differential equation and the potential bifurcation theorems by Krasnosel'skij. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 2, pp. 261-276
• Staněk, Svatoslav: Bounds for solutions of a nonlinear differential equation of the third order. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 26 (1987), issue 1, pp. 47-55
• Vojtenko, Sergej S.: Existence conditions for stabilizing and antistabilizing solutions to the nonautonomous matrix Riccati differential equation. (English). Kybernetika, vol. 23 (1987), issue 1, pp. 32-43
• Banaś, Józef; Rivero, Jesus: Remarks concerning J. Witte's theorem and its applications. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 1, pp. 23-31
• Staikos, V. A.; Tsamatos, P. Ch.: On the terminal value problem for differential equations with deviating arguments. (English). Archivum Mathematicum, vol. 21 (1985), issue 1, pp. 43-49
• Burton, Theodore Allen; Dwiggins, D. P.: Uniqueness without continuous dependence. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [115]-121
• Eliáš, Jozef: A note on the differential equation $y\sp{(n)}(x)+f(x)y\sp{\alpha }(x)=0,$ $0<\alpha <1$. (English). Mathematica Slovaca, vol. 34 (1984), issue 2, pp. 135-140
• Shekhter, B. L.: On singular boundary value problems for two-dimensional differential systems. (English). Archivum Mathematicum, vol. 19 (1983), issue 1, pp. 19-41
• Nekvinda, Miloslav: On uniqueness of solutions of differential equations. (English). Časopis pro pěstování matematiky, vol. 108 (1983), issue 1, pp. 1-7
• Kiguradze, I. T.: On some singular boundary value problems for ordinary differential equations. (English). In: Greguš, Michal (ed.): Equadiff 5. Proceedings of the Fifth Czechoslovak Conference on Differential Equations and Their Applications held in Bratislava, August 24-28, 1981. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 174-178
• Banaś, Józef; Hajnosz, Andrzej; Wędrychowicz, Stanisław: Relations among various criteria of uniqueness for ordinary differential equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 22 (1981), issue 1, pp. 59-70
• Tesařová, Zuzana; Došlý, Ondřej: General uniqueness theorems for ordinary differential equations. (English). Archivum Mathematicum, vol. 16 (1980), issue 4, pp. 217-223
• Kiguradze, Ivan T.; Rachůnková, Irena: On a certain nonlinear problem for two-dimensional differential systems. (English). Archivum Mathematicum, vol. 16 (1980), issue 1, pp. 15-37
• Kurzweil, Jaroslav: 11. Jednoznačnost. (Czech) [11. Uniqueness]. In: Kurzweil, Jaroslav: Obyčejné diferenciální rovnice. (Czech). Praha: SNTL - Nakladatelství technické literatury, 1978. pp. 210-217
• Rzepecki, Bogdan: Note on the differential equation $F(t, y(t), y(h(t)), y'(t)) = 0$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 19 (1978), issue 4, pp. 627-637
• Futák, Ján: On the existence and boundedness of solutions of a nonlinear delay differential system. (English). Archivum Mathematicum, vol. 14 (1978), issue 1, pp. 13-20
• Futák, Ján: Über die Beschränktheit und die Existenz von Lösungen der Differentialgleichung 4. Ordnung mit nacheilendem Argument. (German) [On boundedness and existence of solutions of a fourth-order differential equation with retarded argument]. Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 17 (1978), issue 1, pp. 77-84
• Sova, M.: Abstract Cauchy problem. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [384]-396
• Ryabov, Yu.: Application of bounded operators and Lyapunov's majorizing equations to the analysis of differential equations with a small parameter. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [356]-365
• Jarník, Jiří; Kurzweil, Jaroslav: On conditions on right hand sides of differential relations. (English). Časopis pro pěstování matematiky, vol. 102 (1977), issue 4, pp. 334-349
• Vencková, Magdalena: On the boundedness of solutions of higher order differential equations. (English). Archivum Mathematicum, vol. 13 (1977), issue 4, pp. 235-242
• Půža, Bedřich: Об одной сингулярной краевой задаче для системы обыкновенных дифференциальных уравнений. (Russian) [A singular boundary value problem for a system of ordinary differential equations]. Archivum Mathematicum, vol. 13 (1977), issue 4, pp. 207-226
• Staněk, Svatoslav: On asymptotic properties of central dispersions of the $k$-th kind of $y''=q(t)y$, $k=1,2,3,4$. (English). Archivum Mathematicum, vol. 12 (1976), issue 2, pp. 87-98
• Pelant, Jaroslav: Relations between generalized solutions of ordinary differential equations. (English). Časopis pro pěstování matematiky, vol. 101 (1976), issue 2, pp. 159-175
• Nurekenov, Tokhtar Kemelbaevich: Tеоремы существования неотрицательных периодических решений конечных и счетных систем дифференциальных уравнений и теорема существования решений счетных систем дифференциальных уравнений. (Russian) [Existence theorems for nonnegative periodic solutions of finite and countable systems of differential equations, and an existence theorem for solutions of countable systems of differential equations]. Commentationes Mathematicae Universitatis Carolinae, vol. 15 (1974), issue 3, pp. 429-449
• Jiřina, Marcel: Některé vlastnosti nelineárních obvodu a fyzikální význam jakobiánu. (Czech) [Some properties of nonlinear circuits and a physical interpretation of the Jacobian]. Aplikace matematiky, vol. 18 (1973), issue 2, pp. 77-82
• Staněk, Svatoslav: Bemerkung zum Tschaplyginschen Satz über Differentialungleichungen. (German) [Remark on Chaplygin theorem on differential equations]. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica, vol. 12 (1972), issue 1, pp. 41-44
• Konstantinov, Michail M.; Bajnov, Drumi Dimitrov: Существование и единственность решения некоторых экстремально-дифференциальных систем сверхнейтрального типа. (Russian) [Existence and uniqueness of the solution of certain extremal-differential systems of superneutral type]. Archivum Mathematicum, vol. 8 (1972), issue 4, pp. 207-212
• Voráček, Jan: On the solution of certain non-linear differential equations of the third order. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica, vol. 11 (1971), issue 1, pp. 147-156
• Chrastina, Jan: A note on the criteria of uniqueness of the solution of equation $y'=f(x,y)$. (English). Archivum Mathematicum, vol. 5 (1969), issue 2, pp. 75-77
• Krbiľa, Jaroslav: Об определении не колеблющего дифференциального уравнения $y'' = q(t)y$ второй гиперболической фазой. (Russian) [On determination of a nonoscillatory differential equation of $y''=q(t)y$ by a second hyperbolic phase]. Archivum Mathematicum, vol. 5 (1969), issue 1, pp. 1-6
• Švec, Marko: L'existence globale et les propriétés asymptotiques des solutions d'une équation différentielle non-linéaire d'ordre $n$. (French) [The global existence and asymptotic properties of solutions of a nonlinear n-th order diferential equation]. Archivum Mathematicum, vol. 2 (1966), issue 4, pp. 141-151
• Greguš, Michal: Die Anwendung der Quasilinearisation auf gewisse Probleme aus der Theorie der gewöhnlichen Differentialgleichungen 3. Ordnung. (German) [Application of quasilinearization to some problems of the theory of third order ordinary differential equations]. Archivum Mathematicum, vol. 1 (1965), issue 3, pp. 189-198
• Hájek, Otomar: Singularity diferenciální rovnice. II. (Czech) [Singularities of a differential equation. II]. Pokroky matematiky, fyziky a astronomie, vol. 2 (1957), issue 2, pp. 137-143
• Hájek, Otomar: Singularity diferenciální rovnice. (Czech) [Singularities of a differential equation]. Pokroky matematiky, fyziky a astronomie, vol. 1 (1956), issue 5, pp. 551-559