Periodic solutions for a class of nonlinear hyperbolic evolution equations

The existence of periodic solutions is constructively substantiated for a class of nonlinear hyperbolic evolution equations. A priori estimates are obtained. Examples are given to illustrate the results.

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Bibliographic Details
Published in:Cybernetics and systems analysis 2009-09, Vol.45 (5), p.774-784
Main Authors: Kasyanov, P. O., Zadoyanchuk, N. V., Yasinsky, V. V.
Format: Article
Language:English
Subjects:
Artificial Intelligence
Banach spaces
Boundary conditions
Control
Control theory
Differential equations
Inequality
Mathematics
Mathematics and Statistics
Nonlinear equations
Phase transitions
Processor Architectures
Software Engineering/Programming and Operating Systems
Studies
Systems analysis
Systems Theory
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Description
Summary:The existence of periodic solutions is constructively substantiated for a class of nonlinear hyperbolic evolution equations. A priori estimates are obtained. Examples are given to illustrate the results.
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-009-9149-6