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Book Synopsis
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.

High Order Boundary Value Problems: Existence,

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    A Paperback / softback by Joao Fialho, Feliz Minhos

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      Publisher: Nova Science Publishers Inc
      Publication Date: Publication Date: 01/06/2014
      ISBN13: 9781631177071, 978-1631177071
      ISBN10: 1631177079
      Also in:
      Mathematics

      Description

      Book Synopsis
      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.

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