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Science in China Series A: Mathematics

, Volume 46, Issue 4, pp 506–515 | Cite as

Existence of periodic and subharmonic solutions for second-order superlinear difference equations

  • Zhiming Guo
  • Jianshe Yu
Article

Abstract

By critical point theory, a new approach is provided to study the existence and multiplicity results of periodic and subharmonic solutions for difference equations. For secord-order difference equations
$$\Delta ^2 x_{n - 1} + f(n, x_n ) = 0,$$
some new results are obtained for the above problems when f(t, z) has superlinear growth at zero and at infinity in z.

Keywords

superlinear difference equation periodic solution subharmonic solution critical point linking 

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Copyright information

© Science in China Press 2003

Authors and Affiliations

  1. 1.Department of Applied MathematicsHunan UniversityChangshaChina

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