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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 work involves partial differential equations, mathematical physics, or approximations and expansions.