Results 221 to 230 of about 2,291,454 (248)

Generalized Kojima–Functions and Lipschitz Stability of Critical Points

Computational Optimization and Applications, 1999
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Diethard Klatte, Bernd Kummer
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Generalizations in the problem of Lipschitz stability

Journal of Mathematical Sciences, 1998
The author formulates and proves three theorems for the Lipschitz stability of systems of nonlinear differential equations. First, the uniformly stable zero solution is stated. Then under some conditions the uniform Lyapunov stability for the zero solution is proved. Introducing an additional function allows the author to consider a single equation for
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Eventual Stability for Lipschitz Functional Differential Systems

Bell System Technical Journal, 1970
In this paper it is established that for Lipschitz functional differential systems, the eventual uniform asymptotic stability of the origin is preserved under absolutely diminishing perturbations.
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Lipschitz Stability in Discretized Optimal Control with Application to SQP

SIAM Journal on Control and Optimization, 2019
Summary: We consider a control constrained nonlinear optimal control problem under perturbations represented by a parameter which is a function of time. Our main assumptions involve smoothness of the functions appearing in the integral functional and the state equations, an integral coercivity condition, and a condition that the reference optimal ...
Asen L. Dontchev, Ilya V. Kolmanovsky, Mikhail Ivanov Krastanov, Marco M. Nicotra, Vladimir M. Veliov   +4 more
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Lipschitz and Hölder Shadowing and Structural Stability

2017
In this chapter, we give either complete proofs or schemes of proof of the following main results: If a diffeomorphism f of a smooth closed manifold has the Lipschitz shadowing property, then f is structurally stable (Theorem 2.3.1); a diffeomorphism f has the Lipschitz periodic shadowing property if and only if f is Ω-stable (Theorem 2.4.1);
Sergei Yu. Pilyugin, Kazuhiro Sakai
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Characterizations of Lipschitz Stability in Optimization

1995
We show that the following local Lipschitz properties of solutions to generalized equations under canonical perturbations are invariant under smooth approximations: the pseudo-Lipschitz property, the upperLipschitz property at a point, the existence of a local Lipschitz selection, the strong regularity.
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Lipschitz stability of operators in Banach spaces

Proceedings of the Steklov Institute of Mathematics, 2013
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Lipschitz stability of the k-quadratic functional equation

Quaestiones Mathematicae, 2017
Let N be the set of all positive integers, G an Abelian group with a metric d and E a normed space. For any f : G → E we define the k-quadratic difference of the function f by the formula Qk ƒ(x; y) := 2ƒ(x) + 2k2ƒ(y) - f(x + ky) - f(x - ky) for x; y ∈ G and k ∈ N.
Chahbi, Abdellatif, EL-Fassi, Iz-iddine, Kabbaj, Samir   +2 more
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Stability of Generalized Multi-quadratic Mappings in Lipschitz Spaces

Results in Mathematics, 2019
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Dashti, Mahshid, Khodaei, Hamid
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Uniqueness, Stability and Uniform Lipschitz Estimates

2013
In this chapter, we first prove the uniqueness of solutions to the Dirichlet boundary value problem ( 1.4) by the sub- and super-solution method. In Sect. 2.2, we use the same method to prove the stability of solutions to the corresponding parabolic initial-boundary value problem.
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