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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
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Numerical solutions of differential equations --- Differential equations, Partial --- Equations aux dérivées partielles --- Numerical solutions --- Congresses --- Théorie asymptotique --- Congrès --- Analyse numérique. --- Numerical analysis --- Analyse numérique --- Numerical analysis. --- Equations aux derivees partielles --- Methodes numeriques
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Mathematics --- Numerical calculations --- Differential equations, Partial --- Mathématiques --- Calculs numériques --- Equations aux dérivées partielles --- Data processing --- Numerical solutions --- Informatique --- Solutions numériques --- MATLAB (Logiciel) --- CALCULUS --- DIFFERENTIAL EQUATIONS, PARTIAL --- MATHEMATICS --- DATA PROCESSING --- NUMERICAL SOLUTIONS --- COMPUTER PROGRAMS
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Operator theory --- Ordered algebraic structures --- Partial differential equations --- Differential equations, Partial --- Initial value problems --- Semigroups of operators --- Equations aux dérivées partielles --- Problèmes aux valeurs initiales --- Semi-groupes d'opérateurs --- Differential equations, Partial. --- Initial value problems. --- Semigroups of operators. --- Equations aux dérivées partielles --- Problèmes aux valeurs initiales --- Semi-groupes d'opérateurs
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Partial differential equations --- Differential equations, Partial --- Equations aux dérivées partielles --- Équations différentielles partielles --- Théorie --- --6076 --- 517.95 --- #TCPW W7.0 --- Differential equations, Partial. --- 517.95 Partial differential equations --- Equations aux dérivées partielles --- Équation différentielle partielle --- --Théorie --- --Differential equations, Partial --- Équations aux dérivées partielles --- Équations aux dérivées partielles --- Equations aux derivees partielles elliptiques --- Equations aux derivees partielles hyperboliques
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Control theory --- Stochastic processes --- Differential equations, Partial --- Calculus of variations --- Inequalities (Mathematics) --- Théorie de la commande --- Processus stochastiques --- Equations aux dérivées partielles --- Calcul des variations --- Inégalités (Mathématiques) --- Stochastic control theory --- Variational inequalities (Mathematics) --- Calculus of variations. --- Control theory. --- Differential equations, Partial. --- Stochastic processes. --- Inequalities (Mathematics). --- Théorie de la commande --- Equations aux dérivées partielles --- Inégalités (Mathématiques)
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