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 |
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| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
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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. |
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| 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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| References | López Pouso (CR1) 2012; 2012 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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