ACTA UNIVERSITATIS APULENSIS No 9/2005 AN EXISTENCE RESULT FOR A CLASS OF NONCONVEX FUNCTIONAL DIFFERENTIAL INCLUSIONS
نویسنده
چکیده
Let σ be a positive number and Cσ := C([−σ, 0], R) the Banach space of continuous functions from [−σ, 0] into R and let T (t) be the operator from C([−σ, T ], R) into Cσ, defined by (T (t)x)(s) := x(t + s), s ∈ [−σ, 0]. We prove the existence of solutions for functional differential inclusion(differential inclusions with memory) x′ ∈ F (T (t)x) + f(t, T (t)x) where F is upper semicontinuous, compact valued multifunction such that F (T (t)x) ⊂ ∂V ((x(t)) on [0, T ], V is a proper convex and lower semicontinuous function and f is a Carathéodory single valued function.
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