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

Rubén Figueroa | Zendy

Open Access

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

Author(s) -

Rubén Figueroa

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/603703

Subject(s) - ode , mathematics , ordinary differential equation , bounded function , argument (complex analysis) , variation (astronomy) , bounded variation , order (exchange) , differential equation , pure mathematics , mathematical analysis , biochemistry , chemistry , physics , finance , astrophysics , economics

The aim of this paper is to show the use of the coupled quasisolutions method asa useful technique when dealing with ordinary differential equations with functionalarguments 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 nondecreasingpart and a nonincreasing one. As a necessary step, we will also talk about coupled fixed points of multivalued operators

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