Existence And Approximation Of Solution Of Explicit Second Order Nonlinear Neumann Problems

In this paper we shall present the basic theory of Neumann boundary valuernproblem (BVP) together with a discussion of some of the powerful methodsrnthat are used to solve the Neumann boundary value problem (NBVP). Especialyrnthe paper focuses on the upper and lower solutions of NBVP. .The mainrnobjective of this paper is to investigate the existence and approximation ofrnsolutions of second order nonlinear Neuman problems.rnThe paper consists of four main sections: The first section, the introductoryrnpart, deals about general introduction and some preliminary considerations.rnIn the second section,the quasilinearization technique, and generalizationrnquasilinearization technique will be deffned and discussed;upper andrnlower solutions of Neumann BVP and elaborate through examples. And thenrnsome basic properties of NBVP (theorems on NBVP) are stated and clari-rnfied where the proofs of most of these properties are also include. Havingrnfamiliarized with NBVP in the second section, in the third section,(the corernpart of the paper), we will come across with Generalized quasilinearizationrntechnique

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