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References:
[1] Antosik P., Mikusiński J., Sikorski R.: Theory of Distributions. The Sequential Approach, Elsevier-PWN, Amsterdam-Warszawa, 1973. MR 0365130 | Zbl 0267.46028
[2] Aftabizadeh A. R.: Existence and uniqueness theorem for fourth-order boundary value problems. J. Math. Anal. Appl. 116 (1986), 415-426. MR 0842808
[3] Colombeau J. F.: Elementary Introduction to New Generalized Functions. North Holland, Amsterdam-New York-Oxford, 1985. MR 0808961 | Zbl 0584.46024
[4] Doležal V.: Dynamics of Linear Systems. Publishing Hause of the Czechoslovak Academy of Sciences, Praha, 1964. MR 0169744
[5] Egorov, Ju.: A theory of generalized functions. Uspekhi Mat. Nauk 455 (1990), 3-40 (in Russian). MR 1084986
[6] Filippov A. F.: Differential Equations with Discontinuous Right-Side. Nauka, Moscow, 1985 (in Russian). MR 0790682
[7] Granas A., Guenter R., Lee J.: Nonlinear boundary value problems for ordinary differential equations. Dissertationes Math. (Rozprawy Mat.), vol. 244, PWN, Warsaw, 1985. MR 0808227
[8] Hermann R., Oberguggenberger M.: Ordinary differential equations and generalized functions. In: Theory of Generalized Functions, Proc. of the Workshop Nonlinear Theory of Nonlinear Functions, Vienna 1997, P. Chapmand and Hall ICRC Research Note in Mathematics 401, 1998, (Eds: M. Grosser, M. Hörman, M. Kunziger, M. Oberguggenberger), 85-93. MR 1699870
[9] Hildebrandt T. H.: On systems of linear differential Stieltjes integral equations. J. Math. 3 (1959), 352-273. MR 0105600
[10] Kiguradze I. T.: Boundary value problems for systems of ordinary differential equations. In: Itogi Nauki Tekh., Ser. Sovremennie Problemi Matematiki 30 (1987), 3-103 (in Russian). Zbl 0782.34025
[11] Ligęza J.: Weak solution of ordinary differential equations. Prace Nauk. U. Sl. w Katowicach, vol. 842, 1986. MR 0868863
[12] Ligęza J.: On a two point boundary value problem for linear differential equations of the fourth order in the Colomeau algebra. Annal. Math. Silesianae 15 (2001), 45-66. MR 1896013
[13] Ligęza J.: Remarks on generalized solutions of ordinary linear differential equations in the Colombeau algebra. Math. Bohemica 123 (1998), 301-316. MR 1645454
[14] Persson J.: The Cauchy system for linear distribution differential equations. Funkcial Ekvac. 30 (1987), 162-168. MR 0915270
[15] Przybycin J.: Existence and uniqueness for fourth-order boundary value problems. Annal. Polon. Math. 67 (1997), 59-64. MR 1455427
[16] Samojlenko A. M., Perestjuk N. A.: Differential equations with impulsive action. Kijev State University, 1980 (in Russian).
[17] Usmani R. A.: A uniqueness theorem for a boundary value problem. Proc. Amer. Math. Soc. 77 (1979), 329-335. MR 0545591 | Zbl 0424.34019
[18] Schwabik Š.: Generalized Ordinary Differential Equations. World Sientific, Singapore, 1992. MR 1200241 | Zbl 0781.34003
[19] Tvrdý M.: Generalized differential equations in the space of regulated functions (Boundary value problems and controllability). Math. Bohemica 116 (1991), 225-244. MR 1126445 | Zbl 0744.34021
[20] Yang Y.: Fourth-order two-point boundary value problems. Proc. Amer. Mat. Soc. 104 (1988), 175-180. MR 0958062 | Zbl 0671.34016
[21] Zavalishchin S. G., Sesekin A. N.: Impulse Processes, Models and Applications. Nauka, Moscow, 1991 (in Russian). MR 1126685
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