Nonlinear the first kind Fredholm integro-differential first-order equation with degenerate kernel and nonlinear maxima
In this note, the problems of solvability and construction of solutions for a nonlinear Fredholm one-order integro-differential equation with degenerate kernel and nonlinear maxima are considered. Using the method of degenerate kernel combined with the method of regularization, we obtain an implici...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Published: |
Lviv Polytechnic National University
2022
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/102325/ https://science.lpnu.ua/mmc/all-volumes-and-issues/volume-9-number-1-2022/nonlinear-first-kind-fredholm-integro-differential |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | In this note, the problems of solvability and construction of solutions for a nonlinear Fredholm one-order integro-differential equation with degenerate kernel and nonlinear maxima are considered. Using the method of degenerate kernel combined with the method of regularization, we obtain an implicit the first-order functional-differential equation with the nonlinear maxima. Initial boundary conditions are used to ensure the solution uniqueness. In order to use the method of a successive approximations and prove the one value solvability, the obtained implicit functional-differential equation is transformed to the nonlinear Volterra type integro-differential equation with the nonlinear maxima. |
|---|