A Two-Point Boundary Value Problem for a Fourth Order Partial Integro-Differential Equation
Assanova A.T.
March 2021Pleiades journals
Lobachevskii Journal of Mathematics
2021#42Issue 3526 - 535 pp.
Abstract: Two-point boundary value problem for fourth order partial integro-differential equation is considered. By new unknown function the problem is reduced to an equivalent family of two-point boundary value problems for the Volterra integro-differential equations of second order. By the method of introduction functional parameters are constructed the algorithms for finding of solution to family of two-point boundary value problems for the Volterra integro-differential equations of second order. Conditions of existence unique solution to family of two-point boundary value problems for Volterra integro-differential equations of second order are obtained in the terms of initial data. Criteria of unique solvability to the two-point boundary value problem for fourth order partial integro-differential equation is established.
algorithm , family of Volterra integro-differential equations , fourth order partial integro-differential equations , two-point boundary value problem , unique solvability
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Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Institute of Mathematics and Mathematical Modeling
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