New General Solution to a Quasilinear Fredholm Integro-Differential Equation and Its Application
Assanova A.T. Mynbayeva S.T.
October 2023Pleiades Publishing
Lobachevskii Journal of Mathematics
2023#44Issue 104231 - 4239 pp.
Abstract: 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.
new general solution , parametrization method , quasilinear Fredholm integro-differential equation , solvability conditions , two-point boundary value problem
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Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Zhubanov Aktobe Regional University, Aktobe, Kazakhstan
Institute of Mathematics and Mathematical Modeling
Zhubanov Aktobe Regional University
10 лет помогаем публиковать статьи Международный издатель
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