On One Solution of the Boundary Value Problem for a Pseudohyperbolic Equation of Fourth Order
Orumbayeva N.T. Tokmagambetova T.D.
December 2021Pleiades journals
Lobachevskii Journal of Mathematics
2021#42Issue 153705 - 3714 pp.
Abstract: This article is devoted to the study of the solvability to asemiperiodic boundary value problem for an evolutionary equationof pseudohyperbolic type. Such problems were investigated in theworks of many authors. This problem is reduced to a boundary valueproblem for a system of two pseudoparabolic equations of thirdorder by a special replacement. To solve this problem we areintroduced a new functions and applied the parameterizationmethod. Then, the boundary value problem for system of thepseudoparabolic equations of third order is reduced to a familyperiodic boundary value problems for a system of ordinarydifferential equations. An algorithm for finding an approximatesolution is proposed and conditions for the unique solvability ofthe problem under study are obtained.
algorithm , approximate solution , partial differential equations , pseudoparabolic equation of fourth-order , semi-periodic boundary value problem
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E.A. Buketov Karaganda State University, Karaganda, 470074, Kazakhstan
E.A. Buketov Karaganda State University
10 лет помогаем публиковать статьи Международный издатель
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