On the Solvability of a Quasilinear Boundary Value Problem for an Impulsive System
Mynbayeva S.T. Assanova A.T. Tankeyeva A.K.
October 2024Pleiades Publishing
Lobachevskii Journal of Mathematics
2024#45Issue 105146 - 5155 pp.
Abstract: A quasilinear two-point boundary value problem for a system of ordinary Fredholm integro-differential equations with impulse effects at fixed times is studied. Sufficient conditions for the existence of a unique solution to the intermediate special Cauchy problem that arises when applying the Dzhumabaev parametrization method to the original boundary value problem are established. The method of successive approximations is used to prove the existence of a unique solution to this problem. By using the solution to this problem, a relationship between the original boundary value problem and the system of algebraic equations with respect to additional parameters is established.
impulsive integro-differential equation , parametrization method , quasilinear algebraic equations , quasilinear boundary value problem , quasilinear Fredholm integro-differential equation
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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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