A study of a self-adjoint coupled system of three nonlinear ordinary differential inclusions with cyclic anti-periodic boundary conditions. (English) Zbl 07919952
Summary: In this article, we shall deal with the existence theory for a self-adjoint coupled system of three nonlinear second-order ordinary differential inclusions with cyclic anti-periodic boundary conditions on an arbitrary domain. We consider convex valued as well as non-convex valued right-hand side of the given system and apply the standard fixed-point theorems for multivalued maps to drive the desired existence results. Finally, we give examples for the illustration of the obtained results.
MSC:
34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |
34B15 | Nonlinear boundary value problems for ordinary differential equations |
34A60 | Ordinary differential inclusions |