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Author Azzam-Laouir, D. ♦ Boutana, I. ♦ Makhlouf, A.
Source CiteSeerX
Content type Text
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Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Pettis Integration ♦ Second Order Differential Inclusion ♦ Delayed Second Order Differential Inclusion ♦ Continuous Mapping ♦ Three-point Boundary Condition ♦ Separable Banach Space ♦ Semicontinuous Multifunction ♦ Fixed Point Principle
Abstract In this paper some fixed point principle is applied to prove, in a separable Banach space, the existence of solutions for delayed second order differential inclusions with three-point boundary conditions of the form ü(t) ∈ F(t, u(t), u(h(t)), ˙u(t)) + H(t, u(t), u(h(t)), ˙u(t))a.e. t ∈ [0, 1], where F is a convex valued multifunction upper semi continuous on E × E × E, H is a lower semicontinuous multifunction and h is a bounded and continuous mapping on [0, 1]. The existence of solutions is obtained under the assumptions that F(t, x, y, z) ⊂
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article