Báo cáo hóa học: "LYAPUNOV FUNCTIONS FOR LINEAR NONAUTONOMOUS DYNAMICAL EQUATIONS ON TIME SCALES" doc

... function is established following a method of Yoshizawa for the uniform exponential asymptotic stability of the zero solution of a nonautonomous linear dynamical equation on a time scale with uniformly ... that (1) ξ h (C h \ A h ) ⊂ Z h and ξ −1 h (ξ h (z)) = z for all z ∈ C h \ A h . LYAPUNOV FUNCTIONS FOR LINEAR NONAUTONOMOUS DYNAMICAL EQUATIONS ON TIME SCALES...

Ngày tải lên: 22/06/2014, 22:20

... issue) [23] Vl R˘asvan, On central λ-stability zone for linear discrete time Hamiltonian systems, in Proc. fourth Int. Conf. on Dynamical Systems and Differential Equations, Wilmington NC, May 24–27, ... Agarwal, M Bohner, P Rehak, Half -linear dynamic equations. Nonlinear Anal. Appl. 1, 1–56 (2003) [8] LQ Jiang, Z Zhou, Lyapunov inequality for linear Hamiltonian systems on...

Ngày tải lên: 18/06/2014, 22:20

... β(t)forallt ∈ T}. Alberto Cabada 11 [10] A. Cabada and R. L. Pouso, Extremal solutions of strongly nonlinear discontinuous second-order equations with nonlinear functional boundary conditions, Nonlinear ... results for second- order nonlinear dynamic BVPs, Nonlinear Analysis 60 (2005), no. 2, 209–220. [2] M. Bohner and A. Peterson, Dynamic Equat ions on Time Scales. An Introduction wi...

Ngày tải lên: 22/06/2014, 22:20

... inequality on time scales for functions whose second derivatives are bounded,” to appear in Inequality Theory and Applications, vol. 6, 2009. 21 M. Bohner and A. Peterson, Dynamic Equations on Time ... by f σ tfσt for all t ∈ T. Definition 2.4. Let f : T → R be a function on time scales. Then for t ∈ T κ , one defines f Δ t to be the number, if one exists, such...

Ngày tải lên: 22/06/2014, 03:20

... Peterson, Dynamic Equations on Time Scales: An Introduction with Application, Birkh ¨ auser, Boston, Mass, USA, 2001. 9 M. Bohner and A. Peterson, Eds., Advances in Dynamic Equations on Time ... exponential function on time scales; for more details on time scales, see 8, 9. Now we will give the OuIang inequality on time scales. Theorem 2.2. Let u and v be real-va...

Ngày tải lên: 21/06/2014, 07:20

... Peterson, Dynamic Equations on Time Scales,Birkh ¨ auser, Boston, Mass, USA, 2001, An introduction with application. 16 M. Bohner and A. Peterson, Eds., Advances in Dynamic Equations on Time ... are nonnegative continuous functions. Let f : t 0 , ∞× R  → R  be a continuous function satisfying 3.20. Then, for any continuous function kt > 0 on t 0 , ∞, any nonneg...

Ngày tải lên: 21/06/2014, 07:20

... result for a multi-point boundary value problem on a time scale, to appear in Advances in Difference Equations. [9] D.S.Naidu,Singular perturbations and time scales in control theory and applications: ... Perturbation method for difference equations [6] M. S. Krishnarayalu, Singular perturbation methods for one-point two-point and multi-point boundary value problems in multi-par...

Ngày tải lên: 22/06/2014, 22:20

... equations, ” International Journal of Difference Equations, vol. 1, no. 2, pp. 181–193, 2006. 7 P. E. Kloeden and A. Zmorzynska, “Lyapunov functions for linear nonautonomous dynamical equations ... solution x ≡ 0 for a class of quasilinear implicit dynamic equationsontimescalesoftheformA t x Δ  ft, x. We deal with an index concept to study the solvability and use Lyapunov...

Ngày tải lên: 21/06/2014, 05:20