6533b839fe1ef96bd12a655a

RESEARCH PRODUCT

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

Jesús Garcia-falsetDavid Ariza-ruiz

subject

Equilibrium point47H09Pure mathematics34A10Differential equationGeneral MathematicsMathematical analysisBanach spaceFixed-point theoremdifferential equationsfractional derivative34A08Fixed pointUlam-Hyers stabilityfixed pointOrdinary differential equationUniquenesscoincidence problemCoincidence pointMathematics

description

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

https://idus.us.es/xmlui/handle/11441/42605