Aurelian Cernea: An existence result for bilocal problems with mixed boundary conditions, p.137-143

Abstract:

We prove a Filippov type existence theorem for solutions of a second order differential inclusion with mixed boundary conditions by the application of the contraction principle in the space of the derivatives of solutions instead of the space of solutions.

Key Words: Mixed bilocal problem, set-valued contraction, fixed point.

2000 Mathematics Subject Classification: Primary: 34A60.

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