21 research outputs found

    Application of Pettis integration to delay second order differential inclusions

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    In this paper some fixed 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 u¨(t)∈F(t,u(t),u(h(t)),u˙(t))+H(t,u(t),u(h(t)),u˙(t))a.e.t∈[0,1],\ddot u(t)\in F(t,u(t),u(h(t)),\dot u(t))+H(t,u(t),u(h(t)),\dot u(t))a.e.t\in [0,1], where FF is a convex valued multifunction upper semecontinuous on E×E×EE\times E\times E, HH is a lower semicontinuous multifunction and hh is a bounded and continuous mapping on [0,1][0,1]. The existence of solutions is obtained under the assumptions that F(t,x,y,z)⊂Γ1(t)F(t,x,y,z)\subset \Gamma_1(t), H(t,x,y,z)⊂Γ2(t)H(t,x,y,z)\subset \Gamma_2(t), where the multifunctions Γ1,Γ2:[0,1]⇉E\Gamma_1, \Gamma_2:[0,1]\rightrightarrows E are uniformly Pettis integrable

    Corrigendum to Application of Pettis integration to delay second order differential inclusions

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    This paper serves as a corrigendum to the paper titled Application of Pettis integration to delay second order differential inclusions appearing in EJQTDE no. 88, 2012. We present here a corrected version of Theorem 3.1, because Proposition 2.2 is not true

    On perturbed sweeping process

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    Artículo de publicación ISISin acceso a texto completoThis paper is devoted to the study of a perturbed differential inclusion governed by a sweeping process in a Hilbert space. The sweeping process is perturbed by a sum of a single-valued map satisfying a Lipschitz condition and a scalarly upper semicontinuous set-valued map
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