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

Amster, Pablo Gustavo; Kuna, Mariel Paula; Dallos Santos, Dionicio Pastor

info:eu-repo/semantics/article

Fecha

2020-06

Registro en:

Amster, Pablo Gustavo; Kuna, Mariel Paula; Dallos Santos, Dionicio Pastor; Multiple solutions of boundary value problems on time scales for a φ-Laplacian operator; AGH University of Science and Technology; Opuscula Mathematica; 40; 4; 6-2020; 405-425

http://hdl.handle.net/11336/146729

2300-6919

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4398790

Autor

Amster, Pablo Gustavo

Kuna, Mariel Paula

Dallos Santos, Dionicio Pastor

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

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.

Materias

DYNAMICAL EQUATIONS ON TIME SCALES

NONLINEAR BOUNDARY VALUE PROBLEMS

UPPER AND LOWER SOLUTIONS

LERAY-SCHAUDER DEGREE

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