Existence of approximate solutions for O.D.E.s under Carath\'eodory assumptions in closed, convex sets of Banach spaces

1 Bessaga, C.; Pelczynski, A. Selected Topics in Infinite Dimensional Topology Monografie Matematyczne, PWN 1975 MR0478168 80 Cache/Be/Bessaga,Dimensional,*,1975,1976 353

2 Cramer, E.; Lakshmikantham, L.; Mitchell, A. On the existence of weak solutions of differential equations in nonreflexive Banach spaces Nonlinear Analysis TMA 2 1978 169-177 MR0512280 Cache/Cr/Cramer,existence,Nonlinear*,1976,1977

3 Crandall, M.; Pazy, A. Nonlinear evolution equations in Banach spaces Israel J. Math. 11 1972 57-94 MR0300166 100 Cache/Cr/Crandall,Nonlinear,Israel*,1972,1973

4 Deimling, K. Ordinary Differential Equations in Banach Spaces Lecture Notes in Math., 596, Springer-Verlag 1977 MR0463601 100 Cache/De/Deimling,Ordinary,*,1977,1978 vi+137

5 Deimling, K. Periodic solutions of differential equations in Banach spaces Manuscripta Math. 24 1978 31-44 MR0499551 100 Cache/De/Deimling,solutions,Manuscripta*,1978,1979

6 Dinculeanu, N. Vector Measures Pergamon Press 1967 MR0206190 100 Cache/Di/Dinculeanu,Measures,*,1967,1968 x+432

7 Emmanuele, G. On a theorem of R. H. Martin on certain Cauchy problems for ordinary differential equations Proc. Japan Acad. 61 1985 207-210 MR0816713 100 Cache/Em/Emmanuele,problems,Proc*,1985,1986

8 Evans, L. C. Nonlinear evolution equations in an arbitrary Banach space Israel J. Math. 26 1977 1-42 MR0440431 100 Cache/Ev/Evans,Nonlinear,Israel*,1977,1978

9 von Harten, G. F.; Mönch, V. On the Cauchy problem for ordinary differential equations in Banach spaces Arch. Math. 39 1982 153-160 MR0675655 100 Cache/vo/von Harten,ordinary,Arch*,1982,1983

10 Shou Chuan, Hu Ordinary differential equations involving perturbations in Banach spaces Nonlinear Analysis TMA 7 1983 933-940 MR0713206 Cache/Sh/Shou Chuan,perturbations,Nonlinear*,1983,1984

11 Kato, T. Nonlinear semigroups and evolution equations J. Math. Soc. Japan 19 1967 508-520 MR0226230 100 Cache/Ka/Kato,semigroups,J*,1967,1968

12 Martin, R. H. Nonlinear Operators and Differential Equations in Banach Spaces Wiley and Sons 1976 MR0492671 100 Cache/Ma/Martin,Nonlinear,*,1976,1977 xi+440

13 Papageorgiou, N. Weak solutions of differential equations in Banach spaces Bull. Austr. Math. Soc. 33 1986 407-418 MR0837487 100 Cache/Pa/Papageorgiou,solutions,Bull*,1986,1987

14 Pierre, M. Enveloppe d'une famille de semi-groupes dans un espace de Banach C. R. Acad. Sci. Paris 284 1977 401-404 MR0440432 Cache/Pi/Pierre,semi-groups,C*,1977,1978

15 Ricceri, B. Sull'esistenza delle soluzioni delle equazioni differenziali ordinarie negli spazi di Banach in ipoitesi di Caratheodory Boll. U. M. I. Analisi Funzionale ed Applicazioni 18 1981 1-19 MR0631566 Cache/Ri/Ricceri,Sull'esistenza,Boll*,1981,1982

16 Ricceri, B.; Villani, A. Separability and Scorza-Dragoni's property Le Matematiche 37 1982 156-161 MR0791334 100 Cache/Ri/Ricceri,Scorza-Dragoni's,Le*,1982,1983

17 Schechter, E. Evolution generated by continuous dissipative plus compact operators Bull. London Math. Soc. 13 1981 303-308 MR0620042 100 Cache/Sc/Schechter,dissipative,Bull*,1981,1982

18 Schechter, E. Existence and limits of Caratheodory-Martin evolution Nonlinear Analysis TMA 5 1981 897-930 MR0628110 83 Cache/Sc/Schechter,Caratheodory-Martin,Nonlinear*,1981,1982

19 Song, Z. F. Existence of generalized solutions for ordinary differential equations in Banach spaces J. Math. Anal. Appl. 128 1987 405-412 MR0917374 100 Cache/So/Song,generalized,J*,1987,1988

20 Szep, A. Existence theorem for weak solutions of ordinary differential equations in reflexive Banach spaces Studia Sci. Math. Hungarica 6 1971 197-203 MR0330688 100 Cache/Sz/Szep,Existence,Studia*,1971,1972

21 Szufla, S. On the existence of solutions of differential equations in Banach spaces Bull. Acad. Pol. Sci. 30 1982 507-515 MR0718727 100 Cache/Sz/Szufla,existence,Bull*,1982,1983

22 Vidossich, G. An invitation to the theory of ordinary differential equations in Banach spaces in Functional Analysis, Proceedings of the Brazilian Mathematical Society Symposium, ed. De Figueredo, Pure and Applied Mathematics, 18, Marcel-Dekker 1976 309-322 MR0598066 Cache/Vi/Vidossich,invitation,*,1976,1977