Displaying similar documents to “Continuous Dependence of Solutions of Quasidifferential Equations with Non-Fixed Time of Impulses”

Serdica Journal of Computing : The First Ten Years

Derzhanski, Ivan, Siruk, Olena (2017)

Serdica Journal of Computing

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Serdica Journal of Computing has completed its first decade. On this occasion we offer some notes, statistical and otherwise, on the first ten volumes of the journal, concerning the number of authors and papers, the geographical and institutional distribution of authors’ affiliations, the structural semantic makeup, the dynamics of the editorial board, and various important developments in this period. ACM Computing Classification System (1998): A.0.

Editorial - Serdica Journal of Computing 2015

Stanchev, Peter (2015)

Serdica Journal of Computing

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This special double issue of Serdica Journal of Computing is dedicated to the 80 th anniversary of the birthday of Professor Edward A. Friedman, internationally renowned scientist and innovative educator, versatile humanitarian, and member of our editorial board.

Applications of the Fréchet subdifferential

Durea, M. (2003)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 46A30, 54C60, 90C26. In this paper we prove two results of nonsmooth analysis involving the Fréchet subdifferential. One of these results provides a necessary optimality condition for an optimization problem which arise naturally from a class of wide studied problems. In the second result we establish a sufficient condition for the metric regularity of a set-valued map without continuity assumptions.

Acceleration of Convergence in Dontchev’s Iterative Method for Solving Variational Inclusions

Geoffroy, M., Hilout, S., Pietrus, A. (2003)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 47H04, 65K10. In this paper we investigate the existence of a sequence (xk ) satisfying 0 ∈ f (xk )+ ∇f (xk )(xk+1 − xk )+ 1/2 ∇2 f (xk )(xk+1 − xk )^2 + G(xk+1 ) and converging to a solution x∗ of the generalized equation 0 ∈ f (x) + G(x); where f is a function and G is a set-valued map acting in Banach spaces.

Application of Lyapunov's Direct Method to the Existence of Integral Manifolds of Impulsive Differential Equations

Stamov, G. (1996)

Serdica Mathematical Journal

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The present paper investigates the existence of integral manifolds for impulsive differential equations with variable perturbations. By means of piecewise continuous functions which are generalizations of the classical Lyapunov’s functions, sufficient conditions for the existence of integral manifolds of such equations are found.

On initial value problems for a class of first order impulsive differential inclusions

Mouffak Benchohra, Abdelkader Boucherif, Juan J. Nieto (2001)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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We investigate the existence of solutions to first order initial value problems for differential inclusions subject to impulsive effects. We shall rely on a fixed point theorem for condensing maps to prove our results.

A Note on Preserved Smoothness

Tang, Wee-Kee (1996)

Serdica Mathematical Journal

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* Supported by NSERC (Canada) Let X be a Banach space equipped with norm || · ||. We say that || · || is Gâteaux differentiable at x if for every h ∈ SX(|| · ||), (∗) lim t→0 (||x + th|| − ||x||) / t exists. We say that the norm || · || is Gâteaux differentiable if || · || is Gâteaux differentiable at all x ∈ SX(|| · ||).