Weakly nonlinear Fredholm integrodifferential equations with degenerate kernel in Banach spaces
UDC 517.968.2 We consider weakly nonlinear Fredholm integrodifferential equations  with degenerate kernel in Banach spaces.  Necessary conditions are established for the existence of a solution, which turns into the generating solution for $\varepsilon = 0$.&am...
Saved in:
| Date: | 2025 |
|---|---|
| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2025
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7998 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
Institution
Ukrains’kyi Matematychnyi Zhurnal| Summary: | UDC 517.968.2
We consider weakly nonlinear Fredholm integrodifferential equations  with degenerate kernel in Banach spaces.  Necessary conditions are established for the existence of a solution, which turns into the generating solution for $\varepsilon = 0$.  We also obtain sufficient conditions for the existence of at least one solution and construct a convergent iterative algorithm for its determination. |
|---|---|
| DOI: | 10.3842/umzh.v76i10.7998 |