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Develops the theory of initial-, boundary-, and eigenvalue problems, real and complex linear systems, asymptotic behavior and stability. Using novel approaches to many subjects, the book emphasizes differential inequalities and treats more advanced topics such as Caratheodory theory, nonlinear boundary value problems and radially symmetric elliptic problems. New proofs are given which use concepts and methods from functional analysis. Applications from mechanics, physics, and biology are included, and exercises, which range from routine to demanding, are dispersed throughout the text. Solutions for selected exercises are included at the end of the book. All required material from functional analysis is developed in the book and is accessible to students with a sound knowledge of calculus and familiarity with notions from linear algebra. This text would be an excellent choice for a course for beginning graduate or advanced undergraduate students.

Differential equations --- Equations différentielles --- Differential equations. --- Equations différentielles --- Mathematical analysis. --- Analysis (Mathematics). --- Analysis. --- 517.1 Mathematical analysis --- Mathematical analysis

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History of the law --- Criminal law. Criminal procedure --- Bavaria

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Differential equations --- Integral equations --- Inequalities (Mathematics)

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Jewish religion

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Differential equations --- Integral equations --- Inequalities (Mathematics) --- Equations différentielles --- Equations intégrales --- Inégalités (Mathématiques)