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Part I of this volume surveys the developments in the analysis of nonlinear phenomena in Japan during the past decade, while Part II consists of up-to-date original papers concerning qualitative theories and their applications.Dealt with here are nonlinear problems related to general analysis, fluid dynamics, mathematical biology and computer sciences, and their underlying mathematical structures, e.g. nonlinear waves and propagations, bifurcation phenomena, chaotic phenomena, and fractals.The volume is dedicated to Professor Masaya Yamaguti in celebration of his 60th birthday.

Differential equations, Nonlinear. --- Nonlinear theories. --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Nonlinear differential equations --- Nonlinear theories --- Équations aux dérivées partielles --- Équations aux dérivées partielles --- Equations aux derivees partielles non lineaires

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This revised edition of a classic book, which established scattering theory as an important and fruitful area of research, reflects the wealth of new results discovered in the intervening years. This new, revised edition should continue to inspire researchers to expand the application of the original ideas proposed by the authors.

Scattering (Mathematics) --- Wave-motion, Theory of. --- Undulatory theory --- Mechanics --- Scattering theory (Mathematics) --- Boundary value problems --- Differential equations, Partial --- Scattering operator --- Equations aux derivees partielles --- Scattering

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Much applied and theoretical research in natural sciences leads to boundary-value problems stated in terms of differential equations. When solving these problems with computers, the differential problems are replaced approximately by difference schemes.This book is an introduction to the theory of difference schemes, and was written as a textbook for university mathematics and physics departments and for technical universities. Some sections of the book will be of interest to computations specialists.While stressing a mathematically rigorous treatment of model problems, the boo

Difference equations. --- Differential equations, Linear. --- Linear differential equations --- Linear systems --- Calculus of differences --- Differences, Calculus of --- Equations, Difference --- Equations aux derivees partielles --- Equations aux differences --- Methodes numeriques --- Differences finies

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Computational methods in engineering boundary value problems

Numerical analysis --- Computer. Automation --- Boundary value problems --- Mathematical physics. --- Numerical solutions. --- Numerical solutions --- Differential equations, Partial --- Initial value problems --- Analyse numérique --- Équations aux dérivées partielles --- Mathématiques de l'ingénieur --- Problèmes aux valeurs initiales

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Nonlinear Differential Equations

Strength of materials --- Mechanics, Applied --- Mechanics, Applied. --- Strength of materials. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Architectural engineering --- Engineering, Architectural --- Materials, Strength of --- Resistance of materials --- Building materials --- Flexure --- Mechanics --- Testing --- Elasticity --- Graphic statics --- Strains and stresses --- Differential equations, Nonlinear --- Numerical analysis --- Nonlinear differential equations --- Nonlinear theories --- Data processing. --- Numerical solutions. --- Shells (Engineering) --- Plates (Engineering) --- Elastic plates and shells. --- Elastic shells --- Plates, Elastic --- Shells, Elastic --- Elastic waves --- Plasticity --- Structural shells --- Elastic plates and shells --- Structural analysis (Engineering) --- Disks (Mechanics) --- Panels --- Structural plates --- Equations aux derivees partielles non lineaires --- Equations differentielles non lineaires --- Equations aux derivees partielles --- Methodes variationnelles --- Plates structural members