Báo cáo hóa học: "DIFFERENCE EQUATIONS ON DISCRETE POLYNOMIAL HYPERGROUPS" doc

... linear subspace of the function space C N . This solution space is translation invariant in the sense that if f is a solution, then ᐀ f is a solution, too. 10 Difference equations on discrete polynomial hypergroups [2]W.R.BloomandH.Heyer,Harmonic ... Difference Equations Volume 2006, Article ID 51427, Pages 1–10 DOI 10.1155/ADE/2006/51427 6Difference equations on discrete polyno...

Ngày tải lên: 22/06/2014, 22:20

... delay,JournalofDifference Equations and Applications 10 (2004), no. 7, 661–689. [17] S. Murakami, Representation of solutions of linear functional difference equations in phase space, Nonlinear Analysis. ... 2005 Dedicated to Juan Cuevas Gonzalez Using exponential dichotomies, we get maximal regular ity for retarded functional dif- ference equations. Applications on Volterra difference e...

Ngày tải lên: 22/06/2014, 22:20

... Inequalities and Applications [5] A. W. Goodman, Univalent Functions. Vol. I, Mariner, Tampa, Fla, USA, 1983. [6] I. S. Jack, “Functions starlike and convex of order α,” Journal of the London Mathematical ... B=0, Akw  z 1  = F 2  w  z 1  ∈ F 2 (U), B = 0, (2.11) but this contradicts the condition (2.7) of this theorem and so the assumption is wrong, that is, |w(z)| < 1foreveryz ∈...

Ngày tải lên: 22/06/2014, 11:20

... solutions of a rational system,” Communications on Applied Nonlinear Analysis, vol. 8, no. 1, pp. 1–25, 2001. 7 A. Y. ¨ Ozban, On the positive solutions of the system of rational difference equations ... difference equations and systems of difference equations. Although difference equations are very simple in form, it is extremely difficult to understand thoroughly the behaviors of the...

Ngày tải lên: 22/06/2014, 11:20

... difference equations, ” Communications on Applied Nonlinear Analysis, vol. 5, no. 2, pp. 47–59, 1998. [8] C. J. Schinas, “Invariants for difference equations and systems of difference equations of rational form,” ... dis- tribution, and reproduction in any medium, provided the original work is properly cited. 1. Introduction Difference equations and systems of difference equations have...

Ngày tải lên: 22/06/2014, 19:20

... conditions of Theorem 3.1 are satisfied, so the equilibrium (0, 0) T is glob- ally exponentially stable and the exponential convergent rate is equal to 0.01. 5 Conclusion In this paper, we consider ... solution x(m) ≡ 0. Definition 2.1. The zero solution of Equation 2 is called globally exponentially stable if there are positive constants l and M ≥ 1 such that for any initial condition  Î .....

Ngày tải lên: 21/06/2014, 03:20

... efficient solutions to linear and nonlinear operator equations. The corresponding solutions of the integer-order equations are found to follow as special cases of those of fractional-order equations. We consider ... online issue. 5. Concluding Remarks The NHPM for solving system of fractional-order differential equations are based on two component procedure and polynomial initial con...

Ngày tải lên: 21/06/2014, 05:20

... iterative approximation, and error estimate of solutions for these functional equations. Under certain conditions, we also study properties of solutions for one of the functional equations. The results ... Under certain conditions, we also study other properties of solutions for the functional equations 1.4. The results present in this paper extend, improve, and unify the corresponding...

Ngày tải lên: 21/06/2014, 11:20

... has a nonzero homoclinic solution u ∈  q . (C) Second-Order Difference Equations with Cubic and Quintic Nonlinearities. Our next example is 3.3, known as stationary Ginzubrg-Landau equation with ... strictly monotone. Moreover, we can prove that if in addition to conditions F 1 –F 3  the following condition holds: F 4  fk, t > 0forallt<0andallk ∈ , the homoclinic solution of...

Ngày tải lên: 21/06/2014, 11:20

... rational difference equations, ” Journal of Mathematical Analysis and Applications, vol. 316, no. 1, pp. 60–68, 2006. 21 S. Stevi ´ c, On monotone solutions of some classes of difference equations, ” ... Berg, “Inclusion theorems for non-linear difference equations with applications,” Journal of Difference Equations and Applications, vol. 10, no. 4, pp. 399–408, 2004. 15 L. Berg, On t...

Ngày tải lên: 21/06/2014, 11:20