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Positive solutions for second-order semipositone problems on time scales. (English) Zbl 1189.34167

Summary: We are concerned with the existence of positive solutions for second-order superlinear semipositone Sturm-Liouville boundary value problems on general time scales. In particular, we unify and generalize semipositone results of this type in the continuous and discrete cases to quantum and arbitrary time scales, and then introduce a related second-order multi-point semipositone problem that is new on all time scales.

MSC:

34N05 Dynamic equations on time scales or measure chains
34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
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