| Title:
|
The Dirichlet boundary value problems for strongly singular higher-order nonlinear functional-differential equations (English) |
| Author:
|
Mukhigulashvili, Sulkhan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
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1572-9141 (online) |
| Volume:
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63 |
| Issue:
|
1 |
| Year:
|
2013 |
| Pages:
|
235-263 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The a priori boundedness principle is proved for the Dirichlet boundary value problems for strongly singular higher-order nonlinear functional-differential equations. Several sufficient conditions of solvability of the Dirichlet problem under consideration are derived from the a priori boundedness principle. The proof of the a priori boundedness principle is based on the Agarwal-Kiguradze type theorems, which guarantee the existence of the Fredholm property for strongly singular higher-order linear differential equations with argument deviations under the two-point conjugate and right-focal boundary conditions. (English) |
| Keyword:
|
higher order functional-differential equation |
| Keyword:
|
Dirichlet boundary value problem |
| Keyword:
|
strong singularity |
| Keyword:
|
Fredholm property |
| Keyword:
|
a priori boundedness principle |
| MSC:
|
34K06 |
| MSC:
|
34K10 |
| MSC:
|
34K12 |
| idZBL:
|
Zbl 1274.34189 |
| idMR:
|
MR3035509 |
| DOI:
|
10.1007/s10587-013-0016-2 |
| . |
| Date available:
|
2013-03-01T16:19:42Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143182 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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