Existence of solutions of first-order differential equations via a fixed point theorem for discontinuous operators

We use a recent Schauder-type result for discontinuous operators in order to look for solutions for first-order differential equations subject to initial functional conditions. We show how this abstract fixed-point result allows us to consider a nonlinearity which can be strongly discontinuous. Some...

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Vydané v:Fixed point theory and algorithms for sciences and engineering Ročník 2015; číslo 1; s. 1 - 10
Hlavní autori: Sestelo, Rubén Figueroa, Pouso, Rodrigo López
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Cham Springer International Publishing 01.12.2015
Springer Nature B.V
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ISSN:1687-1812, 1687-1812, 2730-5422
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Abstract We use a recent Schauder-type result for discontinuous operators in order to look for solutions for first-order differential equations subject to initial functional conditions. We show how this abstract fixed-point result allows us to consider a nonlinearity which can be strongly discontinuous. Some examples of applications and comparison with recent literature are included.
AbstractList We use a recent Schauder-type result for discontinuous operators in order to look for solutions for first-order differential equations subject to initial functional conditions. We show how this abstract fixed-point result allows us to consider a nonlinearity which can be strongly discontinuous. Some examples of applications and comparison with recent literature are included.
ArticleNumber 220
Author Pouso, Rodrigo López
Sestelo, Rubén Figueroa
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Cites_doi 10.1017/S0308210500003383
10.1016/j.jmaa.2005.02.013
10.1112/jlms/jdn058
10.1006/jmaa.2001.7642
10.1155/2009/507671
10.1186/1687-2770-2012-92
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Stromberg (CR5) 1981
Pikuta, Rzymowski (CR6) 2005; 307
Biles, López Pouso (CR2) 2009; 2009
Cid, Pouso (CR7) 2008; 78
López Pouso (CR4) 2001; 264
Cid, Pouso (CR3) 2004; 134
P Pikuta (472_CR6) 2005; 307
JÁ Cid (472_CR3) 2004; 134
DC Biles (472_CR2) 2009; 2009
R López Pouso (472_CR4) 2001; 264
JÁ Cid (472_CR7) 2008; 78
R López Pouso (472_CR1) 2012; 2012
KR Stromberg (472_CR5) 1981
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SubjectTerms Analysis
Applications of Mathematics
Differential equations
Differential Geometry
Existence theorems
Fixed points (mathematics)
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Nonlinearity
Operators
Recent Progress in Fixed Point Theory and Applications
Theorems
Topology
Title Existence of solutions of first-order differential equations via a fixed point theorem for discontinuous operators
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