Transversality conditions for the existence of solutions of first–order discontinuous functional differential equations
We are concerned with the existence of extremal solutions to a large class of first–order functional differential problems under weak regularity assumptions. Our technique involves multivalued analysis and the method of lower and upper solutions in order to obtain a new existence result to a scalar...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad de Santiago de Compostela (USC) |
| Repositorio: | Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela |
| Idioma: | inglés |
| OAI Identifier: | oai:minerva.usc.gal:10347/44972 |
| Acceso en línea: | https://hdl.handle.net/10347/44972 |
| Access Level: | acceso abierto |
| Palabra clave: | Discontinuous differential equation Functional differential equation Monotone iterative method |
| Sumario: | We are concerned with the existence of extremal solutions to a large class of first–order functional differential problems under weak regularity assumptions. Our technique involves multivalued analysis and the method of lower and upper solutions in order to obtain a new existence result to a scalar Cauchy problem. As a consequence of this result and a monotone iterative method for discontinuous operators, we derive our main existence result which is illustrated by several examples concerning well–known models: a generalized logistic equation or second–order problems in the presence of dry friction. |
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