An existence theorem for ordinary differential equations in Banach spaces
HTML articles powered by AMS MathViewer
- by Shui-Nee Chow and J.D. Schuur PDF
- Bull. Amer. Math. Soc. 77 (1971), 1018-1020
References
- J. Dieudonné, Deux exemples singuliers d’équations différentielles, Acta Sci. Math. (Szeged) 12 (1950), 38–40 (French). MR 35397
- James A. Yorke, A continuous differential equation in Hilbert space without existence, Funkcial. Ekvac. 13 (1970), 19–21. MR 264196
- M. A. Krasnosel′skiĭ and S. G. Kreĭn, Nonlocal existence theorems and uniqueness theorems for systems of ordinary differential equations, Dokl. Akad. Nauk SSSR (N.S.) 102 (1955), 13–16 (Russian). MR 0071588
- Constantin Corduneanu, Equazioni differenziali negli spazi di Banach, teoremi di esistenza e di prolungabilità, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat. (8) 23 (1957), 226–230 (Italian). MR 96830
- Lamberto Cesari, Existence theorems for optimal solutions in Pontryagin and Lagrange problems, J. SIAM Control Ser. A 3 (1965), 475–498. MR 199762
- A. Lasota and C. Olech, On Cesari’s semicontinuity condition for set valued mappings, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 16 (1968), 711–716 (English, with Russian summary). MR 244824 7. B. J. Pettis, A note on regular Banach spaces, Bull. Amer. Math. Soc. 44 (1938), 420-428.
Additional Information
- Journal: Bull. Amer. Math. Soc. 77 (1971), 1018-1020
- MSC (1970): Primary 3495, 3404; Secondary 2630
- DOI: https://doi.org/10.1090/S0002-9904-1971-12843-4
- MathSciNet review: 0287127