A converse Lyapunov theorem and robustness with respect to unbounded perturbations for exponential dissipativity.
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Displaying 1 – 20 of 359
A discrete Lyapunov theorem for the exponential stability of evolution families.
Pogan, Alin, Preda, Ciprian, Preda, Petre (2005)
The New York Journal of Mathematics [electronic only]
A General Cooperation Theorem for Hypercycles.
Josef Hofbauer (1981)
Monatshefte für Mathematik
A Lyapunov function for pullback attractors of nonautonomous differential equations.
Kloeden, Peter E. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
A necessary and sufficient condition for stability of the convex combination of polynomials
Stanisław Białas (2004)
Control and Cybernetics
A note on bounded, periodic and stable solutions of differential equations
J. Knežević-Miljanović (1987)
Matematički Vesnik
A Note on Multistep Methods and Attracting Sets of Dynamical Systems.
J. Lorenz, P.E. Kloeden (1989/1990)
Numerische Mathematik
A note on stability properties of integrated semigroups
Danilo Rastović (1995)
Acta Mathematica et Informatica Universitatis Ostraviensis
A note on the asymptotic stability in the whole of non-autonomous systems.
Nápoles Valdés, Juan E. (1999)
Revista Colombiana de Matemáticas
A Note on the Covergence of Solutions of a System of Differential Equations. (Short Communication).
Ioan Muntean (1970)
Aequationes mathematicae
A Note on the Covergence of Solutions of a System of Differential Equations.
Ioan Muntean (1970)
Aequationes mathematicae
A note on the Perron instability theorem.
Naulin, Raúl, Vanegas, Carmen J. (1999)
Divulgaciones Matemáticas
A predator-prey model with state dependent impulsive effects
Changming Ding (2014)
Annales Polonici Mathematici
We investigate a Lotka-Volterra predator-prey model with state dependent impulsive effects, in which the control strategies by releasing natural enemies and spraying pesticide at different thresholds are considered. We present some sufficient conditions to guarantee the existence and asymptotical stability of semi-trivial periodic solutions and positive periodic solutions.
A prey-predator model with a cover linearly varying with the prey population and an alternative food for the predator.
Narayan, K.L., Paparao, A.V. (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
A simple boundedness theorem for a Liénard equation with damping
Junji Kato (1990)
Annales Polonici Mathematici
A simple model of thermoelectric oscillations
Giovanni Cimatti, Eduard Feireisl (1995)
Applications of Mathematics
A system of ordinary differential equations modelling an electric circuit with a thermistor is considered. Qualitative properties of solution are studied, in particular, the existence and nonexistence of time-periodic solutions (the Hopf bifurcation).
A smooth Lyapunov function from a class- estimate involving two positive semidefinite functions
Andrew R. Teel, Laurent Praly (2000)
ESAIM: Control, Optimisation and Calculus of Variations
A smooth Lyapunov function from a class- estimate involving two positive semidefinite functions
Andrew R. Teel, Laurent Praly (2010)
ESAIM: Control, Optimisation and Calculus of Variations
We consider differential inclusions where a positive semidefinite function of the solutions satisfies a class- estimate in terms of time and a second positive semidefinite function of the initial condition. We show that a smooth converse Lyapunov function, i.e., one whose derivative along solutions can be used to establish the class- estimate, exists if and only if the class- estimate is robust, i.e., it holds for a larger, perturbed differential inclusion. It remains an open question whether...
A solution of the continuous Lyapunov equation by means of power series
Jan Ježek (1986)
Kybernetika
A solution to the bidimensional global asymptotic stability conjecture
Carlos Gutierrez (1995)
Annales de l'I.H.P. Analyse non linéaire
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