Journal of East China Normal University(Natural Sc ›› 2007, Vol. 2007 ›› Issue (1): 7-12.

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Eigenvalue Problems for Second-order Dynamic Equations on Time Scales(English)

GENG Feng-jie, ZHU De-ming   

  1. Department of Mathematics , East China Normal University , Shanghai 200062, China
  • Received:2005-09-17 Revised:2006-03-17 Online:2007-01-25 Published:2007-01-25
  • Contact: GENG Feng-jie

Abstract: The paper studied the eigenvalue problems for nonlinear second-order dynamic equations on time scales with m-point boundary conditions. Using Schauder's
and Krasnoselskii's fixed point theorems, the eigenvalues were characterized and the existence of positive solutions established. Several kinds of intervals of
λ were presented explicitly, in which the existence of at least one positive solution of BVP was guaranteed.

Key words: jump operators, m-point boundary value problem, second-order dynamic equations, cone , time scales, jump operators, m-point boundary value problem, second-order dynamic equations, cone

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