The Method of Coupled Fixed Points and Coupled Quasisolutions When Working with ODE’s with Arguments of Bounded Variation

Rubén Figueroa

Abstract and Applied Analysis, 2013, vol. 2013, 1-9

Abstract:

The aim of this paper is to show the use of the coupled quasisolutions method as a useful technique when dealing with ordinary differential equations with functional arguments of bounded variation. We will do this by looking for solutions for a first-order ordinary differential equation with an advanced argument of bounded variation. The main trick is to use the Jordan decomposition of this argument in a nondecreasing part and a nonincreasing one. As a necessary step, we will also talk about coupled fixed points of multivalued operators.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:603703

DOI: 10.1155/2013/603703

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