New General Solution to a Quasilinear Fredholm Integro-Differential Equation and Its Application.

Autor: Assanova, A. T., Mynbayeva, S. T.
Zdroj: Lobachevskii Journal of Mathematics; Oct2023, Vol. 44 Issue 10, p4231-4239, 9p
Abstrakt: A quasilinear Fredholm integro-differential equation is considered on a finite interval. By using Dzhumabaev parametrization method the integro-differential equation is reduced to a special Cauchy problem. The sufficient conditions of the existence of a unique solution to the special Cauchy problem are established, and a new general solution to the integro-differential equation is constructed using this solution. The new general solution is used to solve a boundary value problem, the conditions for the existence of a unique solution to the boundary value problem are obtained. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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