[PDF] Top 20 Stability implications on the asymptotic behavior of nonlinear systems

... Stability Implications on the Asymptotic Behavior of Second Order Differential Equations, Proc.. Stability and Asymptotic Behavior of Differential Equations, Heath, Boston, 1965.[r] ... See full document

... a nonlinear system, the determination of an asymptotic stability region around an equilibrium point is generally a hard ...the asymptotic stability in the neighborhood of the discrete ... See full document

... discuss stability of ...chastic systems as those in deterministic systems in ...functional systems, such as ...has asymptotic boundedness property by using the exponential martingale ... See full document

... of nonlinear difference equations is of paramount importance not only in their own field but in understanding the behavior of their differential ...globally asymptotic behavior of solutions of ... See full document

... the nonlinear term f and proved Theo- rem ...the asymptotic stability of the solutions to some models of the cell population dy- ...the stability of the models with appropriate feedback ... See full document

... the asymptotic behavior of solutions of nonlinear wave equations with nonlinear dissipative terms see, ...on asymptotic stability of the zero solution and estimates of the zero ... See full document

... Lyapunov stability method is the most popular and applicable stability analysis tool of nonlinear dynamic ...for asymptotic stability of equilibrium states of nonlinear ... See full document

... for nonlinear differential ...of nonlinear differential equations arises from the fundamental realization that nonlinear systems generally do not have analytic solutions expressible in terms ... See full document

... differential systems with re- spect to a new fractional derivative (the Weber fractional derivative) and investigate the asymptotic stability for these types of ...the asymptotic ... See full document

... up theorem of Fujita type. There have been many various extensions of Fujita’s results thence, such as different types of parabolic equations, kinds geometries of domains, dif- ferent nonlinear reactions, ... See full document

... The new methodology for a single simultaneous exact construction of a system Lyapunov function and accurate determination of the domain of asymptotic stability of x 0 established in [4]-[r] ... See full document

... of stability of time-delay systems of neutral type has received considerable attention in the last two ...dependent stability criteria can be seen in [4, 8] by the model transformation ...neutral ... See full document

... In this section, the basic properties of model system (1.1) which are useful in the proofs of stability are studied. These are the invariant region and positivity of solutions. The former describes the region in ... See full document

... is called inertial proximal method and has been studied in 3. This iterative algorithm gives a method for approximation of a zero of a maximal monotone operator. In this paper, we propose another discrete version of 1.1 ... See full document

... buckling behavior was studied. From the nonlinear moment-curvature relation, the solutions for the limit moment and the moment corresponding to local buckling are reported and compared against literature ... See full document

... This paper considers the asymptotic stability of standing waves of a coupled nonlinear Schrödinger system with an attractive potential.. In particular, for the existence of standing wave[r] ... See full document

... on Asymptotic Methods of Non-stationary Oscillations” (in Russian), Izdat, Nauka, Moscow, ...ubov asymptotic method in the theory of nonlinear oscilla- tions”, ... See full document

... The objective of this paper is to study asymptotic nature of a class of third-order neutral delay differential equations. By using a generalized Riccati substitution and the integral averaging technique, a new ... See full document

... Manfredi, J, Vespri, V: Large time behavior of solutions to a class of doubly nonlinear parabolic equations.. Yang, J, Zhao, J: The asymptotic behavior of solutions of some degenerate no[r] ... See full document

... Suzuki, R: Asymptotic behavior of solutions of quasilinear parabolic equations with slowly decaying initial data.. Mukai, K, Mochizuki, K, Huang, Q: Large time behavior and life span for[r] ... See full document