| Title:
|
Boundary value problems for functional-differential equations with nonlinear boundary conditions (English) |
| Author:
|
Tsamatos, P. Ch. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
34 |
| Issue:
|
2 |
| Year:
|
1998 |
| Pages:
|
257-266 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper is concerned with the existence of solutions for some class of functional integrodifferential equations via Leray-Schauder Alternative. These equations arised in the study of second order boundary value problems for functional differential equations with nonlinear boundary conditions. (English) |
| Keyword:
|
Leray-Schauder Alternative |
| Keyword:
|
a priori bounds |
| Keyword:
|
functional integrodifferential equations |
| Keyword:
|
second order boundary value problem |
| Keyword:
|
nonlinear boundary conditions |
| MSC:
|
34A12 |
| MSC:
|
34B15 |
| idZBL:
|
Zbl 0915.34061 |
| idMR:
|
MR1645316 |
| . |
| Date available:
|
2009-02-17T10:11:55Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107651 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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[5] Gaines, R., Mawhin, J.: Ordinary differential equations with nonlinear boundary conditions.J. Differential Equations 26 (1977), 200–222. MR 0463557 |
| Reference:
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[6] Garner, J. B., Shivaji, R.: Diffusion problems with a mixed nonlinear boundary conditions.Nonlinear Analysis T.M.A. 148 (1990), 422–430. MR 1052353 |
| Reference:
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[7] Guenther, J. R. B., Lee, J. W.: Some existence results for nonlinear integral equations via topological transversality.J. Integral Equations and Appl. 5 (1993), 195–209. MR 1229437 |
| Reference:
|
[8] Henderson, J.: Boundary Value Problems for Functional Differential Equations,.World Scientific, 1982. MR 1375459 |
| Reference:
|
[9] Ntouyas, S. K., Sficas, Y., Tsamatos, P. Ch.: An existence principle for boundary value problems for second order functional differential equations.Nonlinear Analysis T.M.A. 20 (1993), 195–209. MR 1202200 |
| Reference:
|
[10] Ntouyas, S. K., Sficas, Y., Tsamatos, P. Ch.: Boundary value problems for functional differential equations.J.Math.Anal.Appl. 199 (1996), 213–230. MR 1381388 |
| Reference:
|
[11] Oregan, D.: Weak and strong topologies and integral equations in Banach spaces.Ann. Polon. Math. LXL3 (1995), 245–260. MR 1333250 |
| Reference:
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[12] Rachůnková, I.: Boundary value problems with nonlinear boundary conditions.acta Math. Inform. Universitatis Ostraviensis 2 (1994), 71–77. MR 1309065 |
| Reference:
|
[13] Tsamatos, P. Ch., Ntouyas, S. K.: Some results on boundary value problems for functional differential equations.Internat. J. Math. and Math. Sci. 19 (1995), 335–342. MR 1375998 |
| . |
