OSCILLATION AND NONOSCILLATION CRITERIA FOR IMPULSIVE DELAY DIFFERENTIAL EQUATIONS WITH PERRON INTEGRABLE COEFFICIENTS
We present new criteria for the existence of oscillatory and nonoscillatory solutions of measure delay differential equations with impulses. We deal with the integral forms of the differential equations using the Perron and the Perron-Stieltjes integrals. Thus the functions involved can have many di...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | Brasil |
| Recursos: | Universidade Estadual Paulista (UNESP) |
| Repositorio: | Repositório Institucional da UNESP |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unesp.br:11449/241081 |
| Acesso em linha: | http://hdl.handle.net/11449/241081 |
| Access Level: | acceso abierto |
| Palavra-chave: | delay differential equations impulses measure differential equations nonoscillation oscillation Perron integral Perron-Stieltjes integral |
| Resumo: | We present new criteria for the existence of oscillatory and nonoscillatory solutions of measure delay differential equations with impulses. We deal with the integral forms of the differential equations using the Perron and the Perron-Stieltjes integrals. Thus the functions involved can have many discontinuities and be of unbounded variation and yet we obtain good results which encompass those in the literature. Examples are given to illustrate the main results. |
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