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Infinitely Many Sign-Changing Solutions for Some Nonlinear Fourth-Order Beam Equations

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  • Ying Wu
  • Guodong Han

Abstract

Several new existence theorems on positive, negative, and sign-changing solutions for the following fourth-order beam equation are obtained: , ; , where . In particular, an infinitely many sign changing solution theorem is established. The method of the invariant set of decreasing flow is employed to discuss this problem.

Suggested Citation

  • Ying Wu & Guodong Han, 2013. "Infinitely Many Sign-Changing Solutions for Some Nonlinear Fourth-Order Beam Equations," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-11, May.
    • Handle: RePEc:hin:jnlaaa:635265
    DOI: 10.1155/2013/635265
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