Results 101 to 110 of about 2,024 (222)

Necessary Optimality Conditions for a Class of Impulsive and Switching Systems

open access: yesJournal of Applied Mathematics, 2012
An optimal control problem for a class of hybrid impulsive and switching systems is considered. By defining switching times as part of extended state, we get the necessary optimality conditions for this problem.
Lihua Li, Yan Gao, Gexia Wang
doaj   +1 more source

Reconstruction of the Clarke Subdifferential by the Lasry–Lions Regularizations

open access: yes, 2000
We prove that the Clarke subdifferential of a locally Lipschitz function with a growth condition, defined on a Hilbert space, can be represented by the derivatives of its Lasry–Lions regularizations. We complete a result of J.
Pando Gr. Georgiev   +3 more
core   +1 more source

Geometric Approach to Convex Subdifferential Calculus

open access: yes, 2015
In this paper, we develop a geometric approach to convex subdifferential calculus in finite dimensions with employing some ideas of modern variational analysis.
Mordukhovich, Boris S., Nam, Nguyen Mau
core   +1 more source

Subdifferential calculus for convex operators

open access: yes, 1981
Well-known scalar results on the Subdifferential of composite functions are extended to the framework of ordered topological vector spaces. This is done by using the sandwich theorem for convex operators which is derived from an extension of the Hahn ...
Thera, Michel
core   +1 more source

Existence and uniqueness of anti-periodic solutions for nonlinear third-order differential inclusions

open access: yesElectronic Journal of Differential Equations, 2013
In this article, we study the existence of anti-periodic solutions for the third-order differential inclusion $$displaylines{ u'''(t)in partialvarphi(u'(t))+F(t,u(t))quad hbox{a.e.
Touma Haddad, Tahar Haddad
doaj  

The Subdifferential Descent Method in a Nonsmooth Variational Problem

open access: yes, 2022
The paper is devoted to the classical variational problem with a nonsmooth integrand of the functional to be minimized. The integrand is supposed to be subdifferentiable. Under some natural conditions the subdifferentiability of the functional considered
Fominyh, Alexander
core  

A Note on Approximate Subdifferential of Composed Convex Operator [PDF]

open access: yes, 2014
Using the concept of an approximate strong subdifferential of a vector valued convex mapping, we provide approximate strong subdifferential formula of a composed convex operator. An application to a vector minimization problem is also given.
Mohamed Laghdir, Ahmed Rikouane
core  

Subdifferential Calculus in Asplund Generated Spaces

open access: yes, 2005
We extend the definition of the limiting Frechet subdifferential and the limiting Frechet normal cone from Asplund spaces to Asplund generated spaces.
Loewen, Philip D   +4 more
core   +1 more source

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