Method of functional parametrization for solving a semi-periodic initial problem for fourth-order partial differential equations
| Autor: | A.T. Assanova, Zh.S. Tokmurzin |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
semi-periodic initial boundary-value problem
fourth-order system of partial differential equations the method of functional parametrization semi-periodic problem system of integro-differential equations of hyperbolic type second order family of Cauchy problems Analysis QA299.6-433 Analytic mechanics QA801-939 Probabilities. Mathematical statistics QA273-280 |
| Zdroj: | Қарағанды университетінің хабаршысы. Математика сериясы, Vol 100, Iss 4 (2020) |
| Druh dokumentu: | article |
| ISSN: | 2518-7929 2663-5011 |
| DOI: | 10.31489/2020m4/5-16 |
| Popis: | A semi-periodic initial boundary-value problem for a fourth-order system of partial differential equations is considered. Using the method of functional parametrization, an additional parameter is carried out and the studied problem is reduced to the equivalent semi-periodic problem for a system of integro-differential equations of hyperbolic type second order with functional parameters and integral relations. An interrelation between the semi-periodic problem for the system of integro-differential equations of hyperbolic type and a family of Cauchy problems for a system of ordinary differential equations is established. Algorithms for finding of solutions to an equivalent problem are constructed and their convergence is proved. Sufficient conditions of a unique solvability to the semi-periodic initial boundary value problem for the fourth order system of partial differential equations are obtained. |
| Databáze: | Directory of Open Access Journals |
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