On a multivalued second order differential problem with Hukuhara derivative

• Autorzy: Piszczek M.
• Języki publikacji: EN

Abstrakty

EN

Let K be a closed convex cone with the nonempty interior in a real Banach space and let cc(K) denote the family of all nonempty convex compact subsets of K. Assume that continuous linear multifunctions H, ψ : K → cc(K) are given. We consider the following problem D2 φ (t, x) = φ (t, H(x)), D φ (t,x) / (t=0) = {0}, φ (0, x) = ψ (x) for t ≥ 0 and x ∈ K, where D φ (t, x) denotes the Hukuhara derivative of φ (t, x) with respect to t.

Słowa kluczowe

EN

Hukuhara's derivative; multivalued cosine families; Riemann integral for multifunctions; Cauchy problem for a set-valued differential equation

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2008
• Tom: Vol. 28, no. 2
• Strony: 151--161
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Piszczek M.

• Pedagogical University, Institute of Mathematics, ul. Podchorążych 2, 30-084 Cracow, Poland,

Bibliografia

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