General Existence Results for Third-Order Nonconvex State-Dependent Sweeping Process with Unbounded Perturbations
Joint Authors
Al-Senan, B.
Bounkhel, Messaoud
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-07
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
We prove the existence of solutions for third-order nonconvex state-dependent sweeping process with unbounded perturbations of the form: -A(x(3)(t))∈N(K(t,ẋ(t)); A(ẍ(t)))+F(t,x(t),ẋ(t),ẍ(t))+G(x(t),ẋ(t),ẍ(t)) a.e.
[0,T], A(ẍ(t))∈K(t,ẋ(t)), a.e.
t∈[0,T], x(0)=x0,ẋ(0)=u0, ẍ(0)=υ0, where T>0, K is a nonconvex Lipschitz set-valued mapping, F is an unbounded scalarly upper semicontinuous convex set-valued mapping, and G is an unbounded uniformly continuous nonconvex set-valued mapping in a separable Hilbert space ℍ.
American Psychological Association (APA)
Bounkhel, Messaoud& Al-Senan, B.. 2012. General Existence Results for Third-Order Nonconvex State-Dependent Sweeping Process with Unbounded Perturbations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-1028976
Modern Language Association (MLA)
Bounkhel, Messaoud& Al-Senan, B.. General Existence Results for Third-Order Nonconvex State-Dependent Sweeping Process with Unbounded Perturbations. Journal of Applied Mathematics No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-1028976
American Medical Association (AMA)
Bounkhel, Messaoud& Al-Senan, B.. General Existence Results for Third-Order Nonconvex State-Dependent Sweeping Process with Unbounded Perturbations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-1028976
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028976