Existence theorems for boundary value problems for second-order differential inclusion. (Chinese. English summary) Zbl 1289.34050
Summary: We consider two-point boundary value problems for second-order differential inclusion. Using the Leray-Schauder alternative theorem, we prove existence theorems under various sets of hypotheses for both the convex and nonconvex problems. A feedback control system is also considered.
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 |
93B52 | Feedback control |