Study of the Boundary Value Problems for Nonlinear Wave Equations on Domains with a Complex Structure of the Boundary and Prehistory-Reference-Cited by-同舟云学术

Study of the Boundary Value Problems for Nonlinear Wave Equations on Domains with a Complex Structure of the Boundary and Prehistory

Published:2021-08-09 Issue:16 Volume:9 Page:1888
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Marynets Vasyl^ORCID,Marynets Kateryna^ORCID,Kohutych Oksana^ORCID

Abstract

We study a boundary value problem for nonlinear partial differential equations of the hyperbolic type on the plain in a domain with a complex boundary. To find the missing data for the given boundary constraints, we solve a supplementary nonlinear problem. For the approximation of solutions, one constructive method is built.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/9/16/1888/pdf

Reference8 articles.

1. Funktionalanalysis und Numerische Mathematik;Collatz,1964

2. On one approach of investigation of a boundary value problem for quasilinear differential equation of the hyperbolic type;Marynets;Math. Comput. Model. Phys. Math. Sci.,2019

3. Investigation of the Goursat–Darboux boundary value problem for nonlinear equation of the hyperbolic type;Marynets;Fract. Mech. Phys. Constr. Matherials Struct.,2014

4. On Goursat-Darboux boundary-value problem for systems of nonlinear-differential equations of hyperbolic type

5. The Goursat-Darboux boundary-value problem for non-linear differential equation of the hyperbolic type;Marynets;Rep. Natl. Acad. Sci. Ukr.,2014

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