| 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:
|
http://hdl.handle.net/10338.dmlcz/126104 |
| . |
| 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 |
| . |
