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High Order Boundary Value Problems
João FialhoFeliz Minhós
其他書名
Existence, Localization and Multiplicity Results
出版Nova Science Publishers, Incorporated, 2014
主題Mathematics / General
ISBN16311775839781631177583
URLhttp://books.google.com.hk/books?id=zqL_rQEACAAJ&hl=&source=gbs_api
註釋The motto for all the results presented in this book is the lower and upper solution method. In short, this method can guarantee not only the existence of a solution for a given boundary value problem but also the location of the solution in a strip defined by the lower and the upper solutions. Therefore, the challenge of finding a solution for a boundary value problem is replaced by the search of two functions (well-ordered, in reversed order or non-ordered) satisfying adequate differential inequalities and boundary conditions. The freedom to choose such functions is at the same time its weakness: lower and upper solutions must be defined and exhibited.