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

Opuscula Mathematica

article

Pablo Amster (corresponding author)¹  Mariel Paula Kuna¹  Dionicio Pastor Santos¹ 

[1] Universidad de Buenos Aires & IMAS-CONICET, Facultad de Ciencias Exactas y Naturales, Departamento de Matemática, Ciudad Universitaria

关键词: dynamic equations on time scales;    nonlinear boundary value problems;    upper and lower solutions;    Leray-Schauder degree;    multiple solutions.;   

DOI  :  10.7494/OpMath.2020.40.4.405

学科分类：环境科学（综合）

来源: AGH University of Science and Technology Press

【 摘 要 】

We establish the existence and multiplicity of solutions for some boundary value problems on time scales with a \(\varphi\)-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.

【 授权许可】

CC BY-NC