@Article{Amster2020, author = "Amster, Pablo and Kuna, Mariel Paula and Santos, Dionicio Pastor", title = "Multiple solutions of boundary value problems on time scales for a φ-Laplacian operator", journal = "Opuscula Math.", year = "2020", volume = "40", number = "4", pages = "405--425", doi = "https://doi.org/10.7494/OpMath.2020.40.4.405", url = "https://doi.org/10.7494/OpMath.2020.40.4.405", abstract = "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.", keywords = "dynamic equations on time scales, nonlinear boundary value problems, upper and lower solutions, Leray-Schauder degree, multiple solutions", issn = "1232-9274" }