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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA372.SPR FCT 81572 (Browse shelf) | 1 | Available |
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QA372.SPR FCT 81080 Numerical methods for ordinary differential equations | QA372.SPR FCT 81249 Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis | QA372.SPR FCT 81266 Singular perturbation theory | QA372.SPR FCT 81572 Green’s functions in the theory of ordinary differential equations | QA372.SPR FCT 81892 A textbook on ordinary differential equations | QA372.SPR FCT 82036 Variational methods in nonlinear field equations | QA372.SPR FCT 82124 New prospects in direct, inverse and control problems for evolution equations |
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This book provides a complete and exhaustive study of the Green’s functions. Professor Cabada first proves the basic properties of Green's functions and discusses the study of nonlinear boundary value problems. Classic methods of lower and upper solutions are explored, with a particular focus on monotone iterative techniques that flow from them. In addition, Cabada proves the existence of positive solutions by constructing operators defined in cones. The book will be of interest to graduate students and researchers interested in the theoretical underpinnings of boundary value problem solutions.
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