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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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Publisher description
Partial differential equations --- Differential equations, Linear --- Cauchy problem --- Équations aux dérivées partielles linéaires --- Cauchy, Problème de --- Differential equations, Partial. --- Differential equations, Linear. --- Linear partial differential equations. --- Differential equations, Partial --- 517.9 --- #TELE:d.d. Prof. A. J. J. Oosterlinck --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Équations aux dérivées partielles --- Cauchy problem. --- Équations aux dérivées partielles linéaires. --- Cauchy, Problème de --- Équations aux dérivées partielles. --- Équations aux dérivées partielles. --- Équations aux dérivées partielles linéaires. --- Equations aux derivees partielles --- Problemes aux limites
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Mathematics --- Mathematical analysis --- Geometry --- Differential equations, Partial --- Analyse mathématique --- Géométrie --- Equations aux dérivées partielles --- Periodicals. --- Périodiques --- Mathematical Sciences --- Applied Mathematics --- Partial differential equations --- 517.1 Mathematical analysis
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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.
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Theory of partial differential equations
Differential equations, Partial. --- Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis --- Partial differential equations --- Differential equations, Partial --- Equations aux dérivées partielles --- ELSEVIER-B EPUB-LIV-FT --- Équations aux dérivées partielles
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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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In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank
Partial differential equations --- Operator equations. --- Équations à opérateurs. --- Cauchy, Problème de --- Cauchy problem. --- Differential equations, Partial --- Cauchy problem --- 517.95 --- 517.95 Partial differential equations --- Equations aux derivees partielles --- Problemes de valeurs initiales
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Hamilton-Jacobi Equation: A Global Approach
Field theory (Physics). --- Geometry, Differential. --- Hamilton-Jacobi equations. --- Lagrange equations. --- Hamilton-Jacobi equations --- Calculus --- Mathematics --- Physical Sciences & Mathematics --- Calculus of variations. --- Isoperimetrical problems --- Variations, Calculus of --- Equations, Hamilton-Jacobi --- Equations, Jacobi-Hamilton --- Jacobi-Hamilton equations --- Maxima and minima --- Calculus of variations --- Differential equations, Partial --- Hamiltonian systems --- Mechanics --- Hamilton-Jacobi, Équations de --- Equations aux derivees partielles du premier ordre --- Equations aux derivees partielles non lineaires
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Plates and shells play an important role in structural, mechanical, aerospace and manufacturing applications. The theory of plates and shells have advanced in the past two decades to handle more complicated problems that were previously beyond reach. In this book, the most recent advances in this area of research are documented. These include topics such as thick plate and shell analyses, finite rotations of shell structures, anisotropic thick plates, dynamic analysis, and laminated composite panels. The book is divided into two parts. In Part I, emphasis is placed on the theoretical aspects o
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
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