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...
| Main Authors: | , , |
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| Format: | Article |
| Published: |
Lviv Polytechnic National University
2022
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| Online Access: | http://psasir.upm.edu.my/id/eprint/102325/ |
| 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. |
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