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- W2787407709 abstract "This work is devoted to the asymptotic solutions of integral boundary value problem for the Interlinear second order differential equation of Fredholm type. Studying an integral boundary value task, obtaining solution assessment of the set singular perturbed integral boundary value problem and difference estimate between the solutions of singular perturbed and unperturbed tasks; determination of singular perturbed integral boundary value problem solution behavior mode and its derivatives in discontinuity (jump) of the considered section and determination of the solution initial jumps values at discontinuity and of an integral member of the equation, as well, creation of asymptotic solution expansion assessing a residual member with any range of accuracy according to a small parameter by means of Cauchy task with an initial jump, at that selection of initial conditions due to singular perturbed boundary value problem solution behavior mode and its derivatives in the jump point. In the paper there applied methods of differential and integral equations theories, boundary function method, method of successive approximations and method of mathematical induction" @default.
- W2787407709 created "2018-02-23" @default.
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- W2787407709 date "2017-01-01" @default.
- W2787407709 modified "2023-09-24" @default.
- W2787407709 title "Integral Boundary Value Problem for Second-Order Linear Integro-Differential Equations with a Small Parameter" @default.
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