Results 81 to 90 of about 2,908 (221)
A viability result for second-order differential inclusions
Electronic Journal of Differential Equations, 2002 We prove a viability result for the second-order differential inclusion $$ x''in F(x,x'),quad (x(0), x'(0))=(x_0,y_0)in Q:=Kimes Omega, $$ where $K$ is a closed and $Omega$ is an open subsets of $mathbb{R}^m$, and is an upper semicontinuous set-valued ...
Vasile Lupulescu
doaj
On the Dini-Hadamard subdifferential of the difference of two functions
Fréchet ε-subdifferential, Dini-Hadamard ε-subdifferential, Sponge, Approximately starshaped functions, Directionally approximately starshaped functions, Cone-constrained nonsmooth nonconvex optimization problems, Optimality conditions in subdifferential
Delia-Maria Nechita, Radu Boţ
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Electronic Journal of Differential Equations, 2013 In this article, we study the existence of an infinite number of subharmonic periodic solutions to a class of second-order neutral nonlinear functional differential equations.
Xiao-Bao Shu, Yongzeng Lai, Fei Xu
doaj
OPTIMIZATION OF DIFFERENTIAL INCLUSIONS OF PARABOLIC TYPE
Electrica, 2003 Sufficient conditions for optimality are derived for the problems under consideration on the basis of the apparatues of locally conjugate mappings.
E. N. MAHMUDOV
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A THEOREM ON THE SUBDIFFERENTIAL CALCULATION
Demonstratio Mathematica, 1988 Let X, Y be Banach spaces, \(a\in Y\), \(\Lambda\in {\mathcal L}(X,Y)\), Im \(\Lambda\) closed in Y. Let F: \(Y\to \bar R\) be a proper convex function. If F is continuous in at least one point of Im \(\Lambda\) \(+a\), and \(G(x)=F(\Lambda x+a)\), then we prove that \(\partial G(x)=\Lambda^*F(\Lambda x+a)\), where \(\Lambda^*\) is the conjugate of ...
openaire +1 more source
Stability of equilibria via regularity of the diagonal subdifferential operator
, 2017 In this paper we investigate the Aubin property of the solution map of a parametric equilibrium problem, by providing a connection with a suitable behaviour of the diagonal subdifferential operator associated to the equilibrium bifunction.
M. Bianchi
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Electronic Journal of Qualitative Theory of Differential Equations, 2005 We investigate the existence of local approximate and strong solutions for a time-dependent subdifferential evolution inclusion with a nonconvex upper-semicontinuous perturbation.
S. Guillaume, A. Syam
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Subdifferential Regularity of Directionally Lipschitzian Functions
, 2000 Formulas for the Clarke subdifferential are always expressed in the form of inclusion. The equality form in these formulas generally requires the functions to be directionally regular. This paper studies the directional regularity of the general class of
L. Thibault, M. Bounkhel
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Infimal convolution and optimal time control problem II: limiting subdifferential [PDF]
, 2017 This paper is the continuation of our study of a general minimal time problem with a convex constant dynamics and a lower semicontinuous extended real-valued target function defined on a Banach space.
Ivanov, Grigorii +4 more
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Some properties of the weak subdifferential
, 2010 Some properties of the weak subdifferential is considered in this paper. By using definitioan and properties of the weak subdifferential which described in the papers [1, 2, 3], the author prove some theorem connectiong weak subdifferential in nonsmooth ...
Gurbuz, E., Sengul, M., Maharramov, S.F.
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