Mixed Problem for Systems of Hyperbolic Equations with Nonlinear Boundary Dissipation and a Nonlinear Source of Variable Growth Order

We study a mixed problem for systems of one-dimensional semilinear hyperbolic equations with variable nonlinearity growth rate and nonlinear boundary conditions. Theorems on the local solvability and blow-up of solutions in finite time are proved.

Saved in:
Bibliographic Details
Published in:Differential equations 2022-08, Vol.58 (8), p.1028-1042
Main Authors: Aliev, A. B., Shafieva, G. H.
Format: Article
Language:English
Subjects:
Boundary conditions
Difference and Functional Equations
Differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinearity
Ordinary Differential Equations
Partial Differential Equations
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We study a mixed problem for systems of one-dimensional semilinear hyperbolic equations with variable nonlinearity growth rate and nonlinear boundary conditions. Theorems on the local solvability and blow-up of solutions in finite time are proved.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266122080043