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GENG Feng-jie, ZHU De-ming. Eigenvalue Problems for Second-order Dynamic Equations on Time Scales(English)[J]. Journal of East China Normal University (Natural Sciences), 2007, (1): 7-12.
Citation:
GENG Feng-jie, ZHU De-ming. Eigenvalue Problems for Second-order Dynamic Equations on Time Scales(English)[J]. Journal of East China Normal University (Natural Sciences), 2007, (1): 7-12.
GENG Feng-jie, ZHU De-ming. Eigenvalue Problems for Second-order Dynamic Equations on Time Scales(English)[J]. Journal of East China Normal University (Natural Sciences), 2007, (1): 7-12.
Citation:
GENG Feng-jie, ZHU De-ming. Eigenvalue Problems for Second-order Dynamic Equations on Time Scales(English)[J]. Journal of East China Normal University (Natural Sciences), 2007, (1): 7-12.
The paper studied the eigenvalue problems for nonlinear second-order dynamic equations on time scales with m-point boundary conditions. Using Schauder'sand Krasnoselskii's fixed point theorems, the eigenvalues were characterized and the existence of positive solutions established. Several kinds of intervals ofλ were presented explicitly, in which the existence of at least one positive solution of BVP was guaranteed.