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Existence theorems for nonlinear boundary value problems for second order differential inclusions. (English) Zbl 0859.34011
An existence result for a nonlinear two-point boundary value problem for the second order differential inclusion \[ x''(t)\in F(t,x(t),x'(t)), \qquad (x'(0),-x'(b))\in \xi(x(0),x(b)) \] is proved both for \(F\) convex and non-convex valued.

MSC:
34A60 Ordinary differential inclusions
34B15 Nonlinear boundary value problems for ordinary differential equations
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