First order differential equations with piecewise constant arguments and nonlinear boundary value conditions
This paper is devoted to the study of differential equations with piecewise constant arguments coupled with nonlinear boundary value conditions. Under suitable assumptions on the data of the equation, by means of the method of (weakly coupled) lower and upper solutions, we derive the existence of ex...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2011 |
| Country: | España |
| Institution: | Universidad de Santiago de Compostela (USC) |
| Repository: | Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela |
| Language: | English |
| OAI Identifier: | oai:minerva.usc.gal:10347/39452 |
| Online Access: | https://hdl.handle.net/10347/39452 |
| Access Level: | Open access |
| Keyword: | Nonlinear boundary value conditions Comparison results Piecewise constant arguments Lower and upper solutions |
| Summary: | This paper is devoted to the study of differential equations with piecewise constant arguments coupled with nonlinear boundary value conditions. Under suitable assumptions on the data of the equation, by means of the method of (weakly coupled) lower and upper solutions, we derive the existence of extremal solutions and extremal quasi-solutions. Moreover some results are given concerning the uniqueness of solutions. Furthermore, we deduce some maximum principles related to the linear equation which allow us to develop the monotone iterative method. Some illustrative examples are also presented. |
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