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Multiple positive solutions for the system of higher order two-point boundary value problems on time scales. (English) Zbl 1184.34093
Summary: We establish the existence of at least three positive solutions for a system of higher order boundary value problems on time scales by using the well-known Leggett-Williams fixed point theorem. And then, we prove the existence of at least 2k-1 positive solutions for arbitrary positive integer k.
MSC:
34N05Dynamic equations on time scales or measure chains
34B15Nonlinear boundary value problems for ODE
34B18Positive solutions of nonlinear boundary value problems for ODE
47N20Applications of operator theory to differential and integral equations