Existence and Approximation of Solution of Explicit Second Order Nonlinear Neumann Problems
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Date
2015-01
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Addis Ababa University
Abstract
In this paper we shall present the basic theory of Neumann boundary value
problem (BVP) together with a discussion of some of the powerful methods
that are used to solve the Neumann boundary value problem (NBVP). Especialy
the paper focuses on the upper and lower solutions of NBVP. .The main
objective of this paper is to investigate the existence and approximation of
solutions of second order nonlinear Neuman problems.
The paper consists of four main sections: The first section, the introductory
part, deals about general introduction and some preliminary considerations.
In the second section,the quasilinearization technique, and generalization
quasilinearization technique will be deffned and discussed;upper and
lower solutions of Neumann BVP and elaborate through examples. And then
some basic properties of NBVP (theorems on NBVP) are stated and clari-
fied where the proofs of most of these properties are also include. Having
familiarized with NBVP in the second section, in the third section,(the core
part of the paper), we will come across with Generalized quasilinearization
technique
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Keywords
Existence and Approximation, of solution of explicit