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Existence and Uniqueness Results for Perturbed Neumann Boundary Value Problems

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.

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Correspondence to Chengbo Zhai.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Zhang, J., Zhai, C. Existence and Uniqueness Results for Perturbed Neumann Boundary Value Problems. Bound Value Probl 2010, 494210 (2010). https://doi.org/10.1155/2010/494210

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

Keywords

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