Search results for "34A10"

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Existence and uniqueness of solution to several kinds of differential equations using the coincidence theory

2015

The purpose of this article is to study the existence of a coincidence point for two mappings defined on a nonempty set and taking values on a Banach space using the fixed point theory for nonexpansive mappings. Moreover, this type of results will be applied to obtain the existence of solutions for some classes of ordinary differential equations. Ministerio de Economía y Competitividad Junta de Andalucía

Equilibrium point47H09Pure mathematics34A10Differential equationGeneral MathematicsMathematical analysisBanach spaceFixed-point theoremdifferential equationsfractional derivative34A08Fixed pointUlam-Hyers stabilityfixed pointOrdinary differential equationUniquenesscoincidence problemCoincidence pointMathematics
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Existence and uniqueness to several kinds of differential equations using the Coincidence Theory

2014

The purpose of this article is to study the existence of a coincidence point for two mappings defined on a nonempty set and taking values on a Banach space using the fixed point theory for nonexpansive mappings. Moreover, this type of results will be applied to obtain the existence of solutions for some classes of ordinary differential equations.

Mathematics - Functional Analysis34A10 34A08 47H09Mathematics - Classical Analysis and ODEsClassical Analysis and ODEs (math.CA)FOS: MathematicsFunctional Analysis (math.FA)
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