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Existence of Positive Solutions for an Elastic Beam Equation with Nonlinear Boundary Conditions

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  • Ruikuan Liu
  • Ruyun Ma

Abstract

We study the existence and nonexistence of positive solutions for the following fourth-order two-point boundary value problem subject to nonlinear boundary conditions , where are parameters, and , and are continuous. By using the fixed-point index theory, we prove that the problem has at least one positive solution for sufficiently small and has no positive solution for large enough.

Suggested Citation

  • Ruikuan Liu & Ruyun Ma, 2014. "Existence of Positive Solutions for an Elastic Beam Equation with Nonlinear Boundary Conditions," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-5, March.
  • Handle: RePEc:hin:jnljam:972135
    DOI: 10.1155/2014/972135
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