| Title:
|
A priori estimates and solvability of a non-resonant generalized multi-point boundary value problem of mixed Dirichlet-Neumann-Dirichlet type involving a $p$-Laplacian type operator (English) |
| Author:
|
Gupta, Chaitan P. |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
52 |
| Issue:
|
5 |
| Year:
|
2007 |
| Pages:
|
417-430 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper is devoted to the problem of existence of a solution for a non-resonant, non-linear generalized multi-point boundary value problem on the interval $[0,1]$. The existence of a solution is obtained using topological degree and some a priori estimates for functions satisfying the boundary conditions specified in the problem. (English) |
| Keyword:
|
generalized multi-point boundary value problems |
| Keyword:
|
$p$-Laplace type operator |
| Keyword:
|
non-resonance |
| Keyword:
|
a priori estimates |
| Keyword:
|
topological degree |
| MSC:
|
34B10 |
| MSC:
|
34B15 |
| MSC:
|
34L30 |
| MSC:
|
47N20 |
| idZBL:
|
Zbl 1164.34325 |
| idMR:
|
MR2342598 |
| DOI:
|
10.1007/s10492-007-0024-3 |
| . |
| Date available:
|
2009-09-22T18:30:56Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134686 |
| . |
| Reference:
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