| Title:
|
Existence Principles for Singular Vector Nonlocal Boundary Value Problems with $\phi $-Laplacian and their Applications (English) |
| Author:
|
Staněk, Svatoslav |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
50 |
| Issue:
|
1 |
| Year:
|
2011 |
| Pages:
|
99-118 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Existence principles for solutions of singular differential systems$ (\phi (u^{\prime }))^{\prime }=f(t,u,u^{\prime }) $ satisfying nonlocal boundary conditions are stated. Here $\phi $ is a homeomorphism $\mathbb {R}^N$ onto $\mathbb {R}^N$ and the Carathéodory function $f$ may have singularities in its space variables. Applications of the existence principles are given. (English) |
| Keyword:
|
singular boundary value problem |
| Keyword:
|
system of differential equations |
| Keyword:
|
nonlocal boundary condition |
| Keyword:
|
existence principle |
| Keyword:
|
positive solution |
| Keyword:
|
$\phi $-Laplacian |
| Keyword:
|
Leray–Schauder degree |
| MSC:
|
34B16 |
| MSC:
|
34B18 |
| MSC:
|
47H11 |
| idZBL:
|
Zbl 1258.34045 |
| idMR:
|
MR2920702 |
| . |
| Date available:
|
2011-12-08T09:53:53Z |
| Last updated:
|
2013-09-18 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141717 |
| . |
| Reference:
|
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