Existence and Iteration of Monotone Positive Solution of BVP for an Elastic Beam Equation | Zendy

Jian-Ping Sun | Zendy; Xian-Qiang Wang | Zendy

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Existence and Iteration of Monotone Positive Solution of BVP for an Elastic Beam Equation

Author(s) -

Jian-Ping Sun,

Xian-Qiang Wang

Publication year - 2011

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2011/705740

Subject(s) - monotone polygon , mathematics , boundary value problem , iterative method , scheme (mathematics) , function (biology) , mathematical analysis , exact solutions in general relativity , beam (structure) , iterative and incremental development , boundary (topology) , mathematical optimization , computer science , geometry , physics , evolutionary biology , biology , software engineering , optics

This paper is concerned with the existence of monotone positive solution of boundary value problem for an elastic beam equation. By applying iterative techniques, we not only obtain the existence of monotone positive solution but also establish iterative scheme for approximating the solution. It is worth mentioning that the iterative scheme starts off with zero function, which is very useful and feasible for computational purpose. An example is also included to illustrate the main results

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