Article
Full entry |
PDF
(0.5 MB)
Feedback
PDF
(0.5 MB)
Feedback
References:
[1] A. AMBROSETTI: Un teorema di esistenza per le equazioni differenziali negli spazi di Banach. Rend. Sem. Mat. Univ. Padova 39 (1967), 349-360. MR 0222426 | Zbl 0174.46001
[2] J. BANAŚ K. GOEBEL: Measure of Noncompactness in Banach Spaces. Lect. Notes Pure Applied Math. 60, Marcel Dekker, New York 1980. MR 0591679
[3] L. CASTELLANO: Sull' approssimazione, col metodo di Tonelli, delle soluzioni del problema di Darboux per l'equazione $u_{xyz} = f(x,y,z,u,u_x,u_y ,u_z)$. Le Matematiche 23 (1) (196B), 107-123. MR 0241830
[4] S. C. CHU J. B. DIAZ: The Coursat problem for the partial differential equation $u_xyz = f$. A mirage, J. Math. Mech. 16 (1967), 709-713. MR 0203264
[5] J. CONLAN: An existence theorem for the equation $u_xyz = f$. Arch. Rational Mech. Anal. 9 (1962), 64-76. MR 0132898
[6] J. DANEŠ: On densifying and related mappings and their application in nonlinear functional analysis. Theory of Nonlinear Operators, Akademie-Verlag, Berlin 1974, 15-46. MR 0361946
[7] K. DEIMLING: Ordinary Differential Equations in Banach Spaces. Lect. Notes in Math. 596, Springer-Verlag, Berlin 1977. MR 0463601 | Zbl 0361.34050
[8] M. FRASCA: Su un problema ai limiti per l'equazione $u_{xyz} = f(x,y,z,u,u_x,u_y,u_z)$. Matematiche (Catania) 21 (1966), 396-412. MR 0209673
[9] M. KWAPISZ B. PALCZEWSKI W. PAWELSKI: Sur l'équations et l'unicité des solutions de certaines équations differentielles du type $u_{xyz} = f(x,y,z,u,u_x,u_y,u_z,u_{xy},u_{xz},u_{yz})$. Arm. Polon. Math. 11 (1961), 75-106. MR 0136880
[10] R. D. NUSSBAUM: The fixed point index and fixed point theorems for k-set-contraction. Ph.D. dissertation, University of Chicago, 1969.
[11] B. PALCZEWSKI: Existence and uniqueness of solutions of the Darboux problem for the equation${\partial^3u}\over {\partial x_1 \partial x_2 \partial x_3} = f {(x_1, x_2, x_3, u, {{\partial u}\over{ \partial x_1}}, {{\partial u}\over{ \partial x_2}}, {{\partial u}\over{ \partial x_3}}, {{\partial^2 u}\over{ \partial x_1 \partial x_2}}, {{\partial^2 u}\over{ \partial x_1 \partial x_3}}, {{\partial^2 u}\over{ \partial x_2 \partial x_3}})}$. Ann. Polon. Math. 13 (1963), 267-277. MR 0157135 | Zbl 0168.07502
[12] B. N. SADOVSKII: Limit compact and condensing operators. Math. Surveys, 27 (1972), 86-144. MR 0428132
Search
Partner of
