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  • Research Article
  • Open Access

Existence and Uniqueness Results for Perturbed Neumann Boundary Value Problems

Boundary Value Problems20102010:494210

https://doi.org/10.1155/2010/494210

  • Received: 20 April 2010
  • Accepted: 28 June 2010
  • Published:

Abstract

Using a fixed point theorem of general -concave operators, we present in this paper criteria which guarantee the existence and uniqueness of positive solutions for two classes of nonlinear perturbed Neumann boundary value problems for second-order differential equations. The theorems for Neumann boundary value problems obtained are very general.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Neumann Boundary

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Authors’ Affiliations

(1)
Business College of Shanxi Universit, Taiyuan, Shanxi, 030031, China
(2)
School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi, 030006, China

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