Perturbations of quadratic hamiltonian systems with symmetry
Emil Ivanov Horozov, Iliya Dimov Iliev (1996)
Annales de l'I.H.P. Analyse non linéaire
Christov, Ognyan, Dragnev, Dragomir (1995)
Serdica Mathematical Journal
The present paper deals with the KAM-theory conditions for systems describing the motion of a particle in central field.
Abir Kicha, Hanen Damak, Mohamed Ali Hammami (2023)
Commentationes Mathematicae Universitatis Carolinae
We deal with the problem of practical uniform -stability for nonlinear time-varying perturbed differential equations. The main aim is to give sufficient conditions on the linear and perturbed terms to guarantee the global existence and the practical uniform -stability of the solutions based on Gronwall’s type integral inequalities. Several numerical examples and an application to control systems with simulations are presented to illustrate the applicability of the obtained results.
Z. Mikołajska (1977)
Annales Polonici Mathematici
Irene Benedetti, Elena Panasenko (2006)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
We study the relation between the solutions set to a perturbed semilinear differential inclusion with nonconvex and non-Lipschitz right-hand side in a Banach space and the solutions set to the relaxed problem corresponding to the original one. We find the conditions under which the set of solutions for the relaxed problem coincides with the intersection of closures (in the space of continuous functions) of sets of δ-solutions to the original problem.
Djordjija B. Petkovski (1984)
Kybernetika
Murty, K. N., Shaw, Michael D. (2002)
Journal of Applied Mathematics and Stochastic Analysis
M. E. Lord (1982)
Rendiconti del Seminario Matematico della Università di Padova
Jaroslav Barták (1981)
Czechoslovak Mathematical Journal
Chiou, Kuo-Liang (1982)
International Journal of Mathematics and Mathematical Sciences
Liu, Xinzhi, Sivasundaram, S. (1995)
International Journal of Mathematics and Mathematical Sciences
Cantarelli, Giancarlo, Zappalá, Giuseppe (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Yan, Jurang (1996)
Portugaliae Mathematica
František Tumajer (1972)
Časopis pro pěstování matematiky
Ubaldo Richard (1970)
Rendiconti del Seminario Matematico della Università di Padova
L. Salvadori, F. Visentin (1982)
Rendiconti del Seminario Matematico della Università di Padova
C. Runge (1894)
Mathematische Annalen
Yu. I. Gil'derman (1976)
Aplikace matematiky
Р.П. Шепелева, В.А. Якубович (1975)
Sibirskij matematiceskij zurnal
Ю.А. Самохин, В.Н. Фомин (1976)
Sibirskij matematiceskij zurnal