Existence of solutions for second-order differential inclusions involving proximal normal cones
نویسندگان
چکیده
منابع مشابه
Relaxation Problems Involving Second-Order Differential Inclusions
and Applied Analysis 3 moreover we summarize some properties of a Hartman-type function. Lemma 4 (see [8]). LetG : I×I → R be the function defined as follows: as 0 ≤ t < η, G (t, τ) = { { { { { { { { { {
متن کاملExistence Results for Delay Second Order Differential Inclusions
In this paper, some fixed point principle is applied to prove the existence of solutions for delay second order differential inclusions with three-point boundary conditions in the context of a separable Banach space. A topological property of the solutions set is also established.
متن کاملExistence Results for Second-order Impulsive Functional Differential Inclusions
respectively, where F : [0,T]×D→ (Rn) is amultivaluedmap,D = {ψ : [−r,0]→Rn; ψ is continuous everywhere except for a finite number of points t̃ at which ψ(t̃−) and ψ(t̃+) exist with ψ(t̃−)= ψ(t̃)}, φ ∈D, p : [0,T]→R+ is continuous, η ∈Rn, (Rn) is the family of all nonempty subsets of Rn, 0 < r < ∞, 0 = t0 < t1 < ··· < tm < tm+1 = T , Ik, Jk : Rn → Rnk = 1, . . . ,m are continuous functions. y(t− k )...
متن کاملOn the Existence of Viable Solutions for a Class of Second Order Differential Inclusions
We prove the existence of viable solutions to the Cauchy problem x′′ ∈ F (x, x′), x(0) = x0, x′(0) = y0, where F is a set-valued map defined on a locally compact set M ⊂ R, contained in the Fréchet subdifferential of a φ-convex function of order two.
متن کاملExistence of Solutions for Nonconvex Second-order Differential Inclusions in the Infinite Dimensional Space
We prove the existence of solutions to the differential inclusion ẍ(t) ∈ F (x(t), ẋ(t)) + f(t, x(t), ẋ(t)), x(0) = x0, ẋ(0) = y0, where f is a Carathéodory function and F with nonconvex values in a Hilbert space such that F (x, y) ⊂ γ(∂g(y)), with g a regular locally Lipschitz function and γ a linear operator.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2012
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2012.05.001