Báo cáo hóa học: " Difference inequality for stability of impulsive difference equations with distributed delays" pdf

... Advances in Difference Equations 2011, 2011:48 http://www.advancesindifferenceequations.com/content/2011/1/48 Page 8 of 11 RESEARCH Open Access New criteria for stability of neutral differential equations ... Asymptotic stability of nonlinear impulsive stochastic differential equations. Stat Probab Lett. 79, 1219–1223 (2009). doi:10.1016/j.spl.2009.01.011 12. Sakthivel, R...

Ngày tải lên: 20/06/2014, 22:20

... consider a class of impulsive difference equations with distributed delays. By establishing an impulsive delay difference inequality and using the properties of “r-cone” and eigenspac e of the spect ... (2010) doi:10.1186/1029-242X-2011-8 Cite this article as: Li et al.: Difference inequality for stability of impulsive difference equations with distrib...

Ngày tải lên: 21/06/2014, 03:20

... proof. □ 3 Proof of main results For the sake of convenience, we will denote various positive constants as C i , i =1,2, 3, Now, we are ready to proof our main results. Proof of Theorem 1.1. For u ... follows from ( 1 ) which are appeared in the proof of Theorem 1.2. Then the proof of Theorem 1.3 is completed. □ Proof of Theorem 1.4. From the proof of Theorem 1.1, we know t...

Ngày tải lên: 21/06/2014, 00:20

... approach is just of interest for systems with “slowly changing” matrices. The purpose of this section is to apply a new method to investigate the stability of system 4.1, which combined with the “freezing ... establish stability results for difference equations with delay, for example, see 3–12. This paper deals with the absolute stability of nonlinear nonauto...

Ngày tải lên: 22/06/2014, 06:20

... [a,b], then the sequence of Q-iteration of a converges to the least fixed point x ∗ of Q and the sequence of Q-iteration of b converges to the greatest fixed point x ∗ of Q.Moreover, x ∗ = min  y ... x a.e. for t ∈ J, if f (t,x) ≤ f (t, y)a.e.t ∈ J for all x, y ∈ X with x<y. Similarly, f (t,x)iscalledstrictly monotone decreasing in x a.e. for t ∈ J,if f (t,x) ≥ f (t, y)a...

Ngày tải lên: 22/06/2014, 22:20

... existence of n distinct pairs of nontrivial solutions for impulsive differential equations with Dirichlet boundary conditions by using variational methods and critical point theory. 1. Introduction Impulsive ... existence of solutions for impulsive differential equations. On the other hand, in the last few years, some researchers have used variational methods to study the...

Ngày tải lên: 21/06/2014, 11:20

... The limit for x →−∞can be determined using the same techniques of analysis. Note 3.3. The results for behavior of solutions for difference equations can be obtained from the results for (2.1). ... det(A) = 0 and the powers of Lemma 2.6 are independent. The proofs of the lemmas: for Lemma 2.4 use induction on q.ForLemma 2.5 the left side of the equation is L q (p(λ)) for...

Ngày tải lên: 22/06/2014, 22:20

... solution with ITD of the nonlinear differential equations of fractional order. The differential operators are Yakar et al. Advances in Difference Equations 2011, 2011:54 http://www.advancesindifferenceequations.com/content/2011/1/54 © ... Lagrange stability of the solution y(t, τ 0 , y 0 )of the system (2.3) are initial time differences with respect to the solution x(t -h,...

Ngày tải lên: 20/06/2014, 22:20

... Ministry of Absorption and by the NSERC Research Grant. References 1 V. L . K oci ´ c and G. Ladas, Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, vol. 256 of ... corollaries imply new explicit conditions of exponential stability for autonomous difference equations with several delays, as well as a new justification for known ones....

Ngày tải lên: 22/06/2014, 11:20

... proved the Hyers–Ulam stability of the quadratic functional equation. The reader is referred to ([8–20]) and references therein for detailed information on stability of functional equations. Katsaras ... 2L . This implies that the inequality (2.7) holds. The rest of the proof is similar to that of the proof of Theorem 2.1.  Corollary 2.4. Let θ ≥ 0 and let p be a real num...

Ngày tải lên: 18/06/2014, 15:20