Article ID Journal Published Year Pages File Type
4628249 Applied Mathematics and Computation 2014 9 Pages PDF
Abstract

This paper concerns the application of the monotone iterative technique for first-order differential equations involving Stieltjes integrals conditions. We discuss such problems at resonance when the measure in the Stieltjes integral is positive and also when this measure changes the sign. Sufficient conditions which guarantee the existence of extremal, unique and quasi-solutions are given. Three examples illustrate the results.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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