
doi: 10.7151/dmdico.1245
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.
Fixed-point theorems, Nonlinear boundary value problems for ordinary differential equations, fixed point, cyclic anti-periodic boundary conditions, existence, Nonlocal and multipoint boundary value problems for ordinary differential equations, Ordinary differential inclusions, system of ordinary differential inclusions
Fixed-point theorems, Nonlinear boundary value problems for ordinary differential equations, fixed point, cyclic anti-periodic boundary conditions, existence, Nonlocal and multipoint boundary value problems for ordinary differential equations, Ordinary differential inclusions, system of ordinary differential inclusions
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