TY  - JOUR
ID  - Amster2020
LB  - Amster2020
AU  - Amster, Pablo
AU  - Kuna, Mariel Paula
AU  - Santos, Dionicio Pastor
TI  - Multiple solutions of boundary value problems on time scales for a φ-Laplacian operator
ST  - Multiple solutions of boundary value problems on time scales for a φ-Laplacian operator
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2020
VL  - 40
IS  - 4
SP  - 405
EP  - 425
DO  - https://doi.org/10.7494/OpMath.2020.40.4.405
UR  - https://doi.org/10.7494/OpMath.2020.40.4.405
AB  - 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.
KW  - dynamic equations on time scales
KW  - nonlinear boundary value problems
KW  - upper and lower solutions
KW  - Leray-Schauder degree
KW  - multiple solutions
SN  - 1232-9274
ER  -