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2015 EXISTENCE AND UNIQUENESS OF SOLUTION TO SEVERAL KINDS OF DIFFERENTIAL EQUATIONS USING THE COINCIDENCE THEORY
D. Ariza-Ruiz, J. Garcia-Falset
Taiwanese J. Math. 19(6): 1661-1692 (2015). DOI: 10.11650/tjm.19.2015.5019

Abstract

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.

Citation

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D. Ariza-Ruiz. J. Garcia-Falset. "EXISTENCE AND UNIQUENESS OF SOLUTION TO SEVERAL KINDS OF DIFFERENTIAL EQUATIONS USING THE COINCIDENCE THEORY." Taiwanese J. Math. 19 (6) 1661 - 1692, 2015. https://doi.org/10.11650/tjm.19.2015.5019

Information

Published: 2015
First available in Project Euclid: 4 July 2017

zbMATH: 1357.34023
MathSciNet: MR3434271
Digital Object Identifier: 10.11650/tjm.19.2015.5019

Subjects:
Primary: 34A08 , 34A10 , 47H09

Keywords: coincidence problem , Differential equations , fixed point , fractional derivative , Ulam-Hyers stability

Rights: Copyright © 2015 The Mathematical Society of the Republic of China

Vol.19 • No. 6 • 2015
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