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A study of second order differential inclusions with four-point integral boundary conditions. (English) Zbl 1262.34020
The authors consider second-order differential inclusions both in the convex and nonconvex case. For such inclusions a four point integral boundary value problem is studied. Using a Leray-Schauder-type fixed point theorem, some existence results are proved.
MSC:
34A60Differential inclusions
34B10Nonlocal and multipoint boundary value problems for ODE
34B15Nonlinear boundary value problems for ODE
47N20Applications of operator theory to differential and integral equations