Existence results for second-order dynamic inclusion with m-point boundary value conditions on time scales

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Abstract

In this work, the existence of solutions of m-point boundary problems for second-order dynamic inclusions on time scales is investigated. The main approach used here is based on a fixed point theorem due to Sadovskii together with a continuous selection theorem for lower semi-continuous multi-valued maps.

Keywords

Dynamic inclusions
Time scales
Boundary value
Fixed point
Lower semi-continuous multi-valued maps

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Supported by the NNSF of China (10571078).