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Title: On the uniqueness of solutions of functional differential equations with nonincreasing right-hand sides (English)
Author: Augustynowicz, Antoni
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 121
Issue: 2
Year: 1996
Pages: 113-116
Summary lang: English
Category: math
Summary: It is proved that nonincreasing and satisfying the Volterra condition right-hand side of a functional differential equation does not guarantee the uniqueness of solutions. (English)
Keyword: nonlinear functional differential equations
MSC: 34K05
idZBL: Zbl 0863.34069
idMR: MR1400601
DOI: 10.21136/MB.1996.126104
Date available: 2009-09-24T21:16:47Z
Last updated: 2020-07-29
Stable URL:
Reference: [1] F. E. Browder: Non-linear equations of evolution.Ann. Math. 80 (1964), 485-523. Zbl 0127.33602, MR 0173960, 10.2307/1970660
Reference: [2] J. B. Diaz R. J. Weinacht: On nonlinear differential equations in Hilbert spaces.Appl. Anal. 1 (1971), 31-41. MR 0282032, 10.1080/00036817108839004
Reference: [3] J. K. Hale: Theory of Functional Differential Equations.Springer-Verlag, New York, 1977. Zbl 0352.34001, MR 0508721
Reference: [4] S. Kato: On existence and uniqueness conditions for nonlinear ordinary differential equation in Banach space.Funkcial. Ekvac. 19 (1976), 239-245. MR 0435538
Reference: [5] L. A. Medeiros: On nonlinear differential equations in Hilbert spaces.Amer. Math. Monthly 76 (1969), 1024-1027. MR 0248433, 10.1080/00029890.1969.12000396


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