Solutions to Lyapunov stability problems of sets: Nonlinear systems with differentiable motions.
Displaying 21 – 40 of 119
Solving a collection of free coexistence-like problems in stability
Gaetano Zampieri (1989)
Rendiconti del Seminario Matematico della Università di Padova
Some classes of linear th-order differential equations
Valter Šeda (1997)
Archivum Mathematicum
Sufficient conditions for the -th order linear differential equation are derived which guarantee that its Cauchy function , together with its derivatives , , is of constant sign. These conditions determine four classes of the linear differential equations. Further properties of these classes are investigated.
Some new results in 1D inverse scattering
John Sylvester (1995)
Journées équations aux dérivées partielles
Some oscillatory properties of the perturbed linear differential equations of order
Jozef Moravčík (1995)
Archivum Mathematicum
In this paper there are generalized some results on oscillatory properties of the binomial linear differential equations of order ) for perturbed iterative linear differential equations of the same order.
Some results on the asymptotic behaviour of the equation with a complex-valued function
Josef Kalas (1985)
Archivum Mathematicum
Some stability and boundedness results for the solutions of certain fourth order differential equations
Cemil Tunç (2005)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Sufficient conditions are established for the asymptotic stability of the zero solution of the equation (1.1) with and the boundedness of all solutions of the equation (1.1) with . Our result includes and improves several results in the literature ([4], [5], [8]).
Spatiotemporal Dynamics in a Spatial Plankton System
R. K. Upadhyay, W. Wang, N. K. Thakur (2010)
Mathematical Modelling of Natural Phenomena
In this paper, we investigate the complex dynamics of a spatial plankton-fish system with Holling type III functional responses. We have carried out the analytical study for both one and two dimensional system in details and found out a condition for diffusive instability of a locally stable equilibrium. Furthermore, we present a theoretical analysis of processes of pattern formation that involves organism distribution and their interaction of spatially...
Stability analysis and absolute synchronization of a three-unit delayed neural network
Lin Jun Wang, You Xiang Xie, Zhou Chao Wei, Jian Peng (2015)
Kybernetika
In this paper, we consider a three-unit delayed neural network system, investigate the linear stability, and obtain some sufficient conditions ensuring the absolute synchronization of the system by the Lyapunov function. Numerical simulations show that the theoretically predicted results are in excellent agreement with the numerically observed behavior.
Stability analysis in terms of two measures for dynamic systems on time scales.
Kaymakçalan, Billûr (1993)
Journal of Applied Mathematics and Stochastic Analysis
Stability analysis of fractional differential systems with order lying in .
Zhang, Fengrong, Li, Changpin (2011)
Advances in Difference Equations [electronic only]
Stability analysis of nonlinear Lyapunov systems associated with an th order system of matrix differential equations.
Murty, K. N., Shaw, Michael D. (2002)
Journal of Applied Mathematics and Stochastic Analysis
Stability analysis of uncertain complex-variable delayed nonlinear systems via intermittent control with multiple switched periods
Song Zheng (2018)
Kybernetika
In this paper, an intermittent control approach with multiple switched periods is proposed for the robust exponential stabilization of uncertain complex-variable delayed nonlinear systems with parameters perturbation, in which the considered complex systems have bounded parametric uncertainties. Based on the Lyapunov stability theory and comparison theorem of differential equations, some stability criteria are established for a class of uncertain complex delayed nonlinear systems with parameters...
Stability and asymptotic equivalence of perturbations of nonlinear systems of differential equations
M. E. Lord (1982)
Rendiconti del Seminario Matematico della Università di Padova
Stability and asymptotic stability in impulsive semidynamical systems.
Kaul, Saroop K. (1994)
Journal of Applied Mathematics and Stochastic Analysis
Stability and attractivity of solutions of differential equations with impulses at fixed times.
Sivasundaram, S., Vassilyev, S. (2000)
Journal of Applied Mathematics and Stochastic Analysis
Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay.
Ding, Xiaohua, Li, Wenxue (2006)
Discrete Dynamics in Nature and Society
Stability and boundedness of controllable continuous flows
František Tumajer (1988)
Aplikace matematiky
In the paper the concept of a controllable continuous flow in a metric space is introduced as a generalization of a controllable system of differential equations in a Banach space, and various kinds of stability and of boundedness of this flow are defined. Theorems stating necessary and sufficient conditions for particular kinds of stability and boundedness are formulated in terms of Ljapunov functions.
Stability and Boundedness of Solutions of a Certain System of Third-order Nonlinear Delay Differential Equations
Mathew Omonigho Omeike (2015)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
In this paper a number of known results on the stability and boundedness of solutions of some scalar third-order nonlinear delay differential equations are extended to some vector third-order nonlinear delay differential equations.
Stability and boundedness of solutions of nonlinear vector differential equations of third order
Mathew Omonigho Omeike (2014)
Archivum Mathematicum
The paper studies the equation in two cases: (i) , (ii) . In case (i), the global asymptotic stability of the solution is studied; in case (ii), the boundedness of all solutions is proved.