| Autor: |
Assanova, Anar T., Karakenova, Sayakhat G., Mynbayeva, Sandugash T., Uteshova, Rosa E. |
| Zdroj: |
QM - Quaestiones Mathematicae; Feb2024, Vol. 47 Issue 1, p61-73, 13p |
| Abstrakt: |
This paper deals with a Fredholm integro-differential equation with nonlinear integral term. By using the Dzhumabaev parametrization method, we reduce the equation to a special Cauchy problem and establish sufficient conditions for the existence of its unique solution. The solution to the special Cauchy problem is used to construct a new general solution to the Fredholm integro-differential equation. We investigate some properties of the new general solution and apply it to boundary value problems. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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