The Method of Coupled Fixed Points and Coupled Quasisolutions When Working with ODE’s with Arguments of Bounded Variation
The aim of this paper is to show the use of the coupled quasisolutions method as a useful technique when dealing with ordinary differential equations with functional arguments of bounded variation. We will do this by looking for solutions for a first-order ordinary differential equation with an adva...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/603703 |
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| _version_ | 1832565767357333504 |
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| author | Rubén Figueroa |
| author_facet | Rubén Figueroa |
| author_sort | Rubén Figueroa |
| collection | DOAJ |
| description | The aim of this paper is to show the use of the coupled quasisolutions method as
a useful technique when dealing with ordinary differential equations with functional
arguments of bounded variation. We will do this by looking for solutions for a first-order ordinary differential equation with an advanced argument of bounded variation.
The main trick is to use the Jordan decomposition of this argument in a nondecreasing
part and a nonincreasing one. As a necessary step, we will also talk about coupled fixed points of multivalued operators. |
| format | Article |
| id | doaj-art-2490f90e813045318be2831f68e2bf2b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2490f90e813045318be2831f68e2bf2b2025-02-03T01:06:42ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/603703603703The Method of Coupled Fixed Points and Coupled Quasisolutions When Working with ODE’s with Arguments of Bounded VariationRubén Figueroa0Department of Mathematical Analysis, University of Santiago de Compostela, 15782 Santiago de Compostela, SpainThe aim of this paper is to show the use of the coupled quasisolutions method as a useful technique when dealing with ordinary differential equations with functional arguments of bounded variation. We will do this by looking for solutions for a first-order ordinary differential equation with an advanced argument of bounded variation. The main trick is to use the Jordan decomposition of this argument in a nondecreasing part and a nonincreasing one. As a necessary step, we will also talk about coupled fixed points of multivalued operators.http://dx.doi.org/10.1155/2013/603703 |
| spellingShingle | Rubén Figueroa The Method of Coupled Fixed Points and Coupled Quasisolutions When Working with ODE’s with Arguments of Bounded Variation Abstract and Applied Analysis |
| title | The Method of Coupled Fixed Points and Coupled Quasisolutions When Working with ODE’s with Arguments of Bounded Variation |
| title_full | The Method of Coupled Fixed Points and Coupled Quasisolutions When Working with ODE’s with Arguments of Bounded Variation |
| title_fullStr | The Method of Coupled Fixed Points and Coupled Quasisolutions When Working with ODE’s with Arguments of Bounded Variation |
| title_full_unstemmed | The Method of Coupled Fixed Points and Coupled Quasisolutions When Working with ODE’s with Arguments of Bounded Variation |
| title_short | The Method of Coupled Fixed Points and Coupled Quasisolutions When Working with ODE’s with Arguments of Bounded Variation |
| title_sort | method of coupled fixed points and coupled quasisolutions when working with ode s with arguments of bounded variation |
| url | http://dx.doi.org/10.1155/2013/603703 |
| work_keys_str_mv | AT rubenfigueroa themethodofcoupledfixedpointsandcoupledquasisolutionswhenworkingwithodeswithargumentsofboundedvariation AT rubenfigueroa methodofcoupledfixedpointsandcoupledquasisolutionswhenworkingwithodeswithargumentsofboundedvariation |