Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela, Galicia, Spain
AMS subject classification: 39A10.
The goal of this paper consists in proving the existence of extremal solutions of dynamic functional and discontinuous equations involving the φ-Laplacian operator and coupled with nonlinear boundary functional conditions. Such boundary conditions cover, as particular cases, the Dirichlet and multipoint conditions.
Discontinuous dynamic equations, time scales, nonlinear boundary, value conditions, φ-Laplacian problem.
