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Content: Front Matter....Pages i-xExistence Theorems for Hyperbolic Equations....Pages 1-23Periodic Solutions of the Wave Ordinary Diferential Equations of Second Order....Pages 24-41Periodic Solutions of the First Class Systems....Pages 42-59Periodic Solutions of the Second Class Systems....Pages 60-90Periodic Solutions of the Second Order Integro-Differential Equations of Hyperbolic Type....Pages 91-117Hyperbolic Systems with Fast and Slow Variables and Asymptotic Methods for Solving Them....Pages 118-160Asymptotic Methods for the Second Order Partial Differential Equations of Hyperbolic Type....Pages 161-197Back Matter....Pages 199-214, Series: Mathematics and Its Applications 402, This volume is devoted to the further development of the asymptotic theory for analysing solutions of a wide range of nonlinear periodic boundary value problems. It suggests a systematic approach to constructing asymptotic methods for solving wave equations, a particular ordinary differential equation of the second order, hyperbolic differential equations and partial differential equations with small parameters. Audience: This book will be of interest to researchers and postgraduate students whose wor

Author

Mitropolskii, Yu, Khoma, G, Gromyak, M

Publisher

Dordrecht : Springer Netherlands

Published

1997

Language

EN