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TÜBİTAK

Turkish Journal of Mathematics

2006

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Full-Text Articles in Physical Sciences and Mathematics

Second-Order Nonlinear Three Point Boundary-Value Problems On Time Scales, S. Gülşan Topal Jan 2006

Second-Order Nonlinear Three Point Boundary-Value Problems On Time Scales, S. Gülşan Topal

Turkish Journal of Mathematics

We consider a second order three point boundary value problem for dynamic equations on time scales and establish criteria for the existence of at least two positive solutions of an eigenvalue problem by an application of a fixed point theorem in cones. Existence result for non-eigenvalue problem is also given by the monotone method.