Open AccessMultiple solutions of boundary value problems on time scales for a φ-Laplacian operator
Author(s) -
Pablo Amster,
Mariel P. Kuna,
Dionicio Pastor Dallos Santos
Publication year - 2020
Publication title -
rocznik akademii górniczo-hutniczej im. stanisława staszica. opuscula mathematica/opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2020.40.4.405
Subject(s) - mathematics , laplace operator , boundary value problem , operator (biology) , p laplacian , multiplicity (mathematics) , mathematical analysis , boundary (topology) , biochemistry , chemistry , repressor , transcription factor , gene
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.