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

[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.

[学科分类] 环境科学（综合）

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