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Positive Solutions of Boundary Value Problems for System of Nonlinear Fourth-Order Differential Equations

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Abstract

Some existence theorems of the positive solutions and the multiple positive solutions for singular and nonsingular systems of nonlinear fourth-order boundary value problems are proved by using topological degree theory and cone theory.

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Correspondence to Shengli Xie.

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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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Xie, S., Zhu, J. Positive Solutions of Boundary Value Problems for System of Nonlinear Fourth-Order Differential Equations. Bound Value Probl 2007, 076493 (2007). https://doi.org/10.1155/2007/76493

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Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Existence Theorem