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The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. This book is the first of two volumes to systematically introduce the applications of order structure in certain nonlinear partial differential equation problems. The maximum principle is revisited through the use of the Krein-Rutman theorem and the principal eigenvalues. Its various versions, such as the moving plane and sliding plane methods, are applied to a variety of important problems of current interest. The upper and lower solution method, espec

Differential equations, Nonlinear --- Differential equations, Partial --- Numerical analysis --- Numerical solutions. --- Equations aux dérivées partielles --- Equations différentielles non linéaires --- Numerical solutions --- Solutions numériques

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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 --- Wave equation

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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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Applications of Variational Inequalities in Stochastic Control

Control theory --- Stochastic processes --- Differential equations, Partial --- Variational inequalities (Mathematics) --- Théorie de la commande --- Processus stochastiques --- Equations aux dérivées partielles --- Inégalités variationnelles --- Stochastic control theory --- Théorie de la commande --- Equations aux dérivées partielles --- Inégalités variationnelles --- ELSEVIER-B EPUB-LIV-FT --- Differential equations, Partial. --- Stochastic control theory. --- Inequalities, Variational (Mathematics) --- Calculus of variations --- Differential inequalities --- Partial differential equations