Boundary-value problems for weakly singular Hammerstein-type integral equations
UDC517.9 We consider the problem of existence of the solution of weakly nonlinear boundary-value problem for the Hammerstein-type integral equation with  unbounded kernel, which turns, for $\varepsilon=0,$  into one of solutions of the generating problem. The n...
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| Date: | 2024 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2024
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7487 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | UDC517.9
We consider the problem of existence of the solution of weakly nonlinear boundary-value problem for the Hammerstein-type integral equation with  unbounded kernel, which turns, for $\varepsilon=0,$  into one of solutions of the generating problem. The necessary and sufficient conditions for the existence of this solution are obtained and the iterative procedure for its construction is proposed. |
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| DOI: | 10.3842/umzh.v76i1.7487 |