Study of the boundary value problems for nonlinear wave equations on domains with a complex structure of the boundary and prehistory

Vasyl Marynets; Kateryna Marynets; Oksana Kohutych

doi:10.3390/math9161888

Study of the boundary value problems for nonlinear wave equations on domains with a complex structure of the boundary and prehistory

Vasyl Marynets, Kateryna Marynets, Oksana Kohutych

Mathematical Physics

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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.

Original language	English
Article number	1888
Pages (from-to)	1-12
Journal	Mathematics
Volume	9
Issue number	16
DOIs	https://doi.org/10.3390/math9161888
Publication status	Published - Aug 2021

Keywords

Boundary value problem with prehistory
Nonlinear wave equation
Two–sided method
“Free” curves

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10.3390/math9161888

mathematics-09-01888Final published version, 761 KBLicence: CC BY

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title = "Study of the boundary value problems for nonlinear wave equations on domains with a complex structure of the boundary and prehistory",

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.",

keywords = "Boundary value problem with prehistory, Nonlinear wave equation, Two–sided method, “Free” curves",

author = "Vasyl Marynets and Kateryna Marynets and Oksana Kohutych",

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KW - Nonlinear wave equation

KW - Two–sided method

KW - “Free” curves

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Study of the boundary value problems for nonlinear wave equations on domains with a complex structure of the boundary and prehistory

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