Multiple solutions of boundary value problems on time scales for a φ-Laplacian operator

We establish the existence and multiplicity of solutions for some boundary value problems on time scales with a ϕ-Laplacian operator. For this purpose, we employ the concept of lower and upper solutions and the Leray–Schauder degree. The results extend and improve known results for analogous problem...

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Detalles Bibliográficos
Autores: Amster, Pablo Gustavo, Kuna, Mariel Paula, Dallos Santos, Dionicio Pastor
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/146729
Acceso en línea:http://hdl.handle.net/11336/146729
Access Level:acceso abierto
Palabra clave:DYNAMICAL EQUATIONS ON TIME SCALES
NONLINEAR BOUNDARY VALUE PROBLEMS
UPPER AND LOWER SOLUTIONS
LERAY-SCHAUDER DEGREE
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:We establish the existence and multiplicity of solutions for some boundary value problems on time scales with a ϕ-Laplacian operator. For this purpose, we employ the concept of lower and upper solutions and the Leray–Schauder degree. The results extend and improve known results for analogous problems with discrete p-Laplacian as well as those for boundary value problems on time scales.