ON MONOTONICITY OF SOLUTIONS OF DISCRETE-TIME NONNEGATIVE AND COMPARTMENTAL DYNAMICAL potx

... introduce the notion of monotonicity of solutions of nonnegative dynamical systems. Furthermore, we provide necessary and sufficient conditions for monotonicity for lin- ear nonnegative dynamical systems. ... then Ᏻ is nonnegative. Next, we present a sufficient condition for monotonicity of a nonlinear nonnegative dynamical system. Theorem 4.3. Consider the discre...

Ngày tải lên: 23/06/2014, 00:20

... EM: On the solutions of a class of difference equations systems. Demonstratio Mathematica. 41(1), :109–122 (2008) 32. Elsayed, EM: On the solutions of a rational system of difference equations. ... three-dimensional linear fractional system of difference equations. J Math Anal Appl. 310, 673–689 (2005) 8. Özban, AY: On the positive solutions of the system of rational...

Ngày tải lên: 20/06/2014, 22:20

... and also by the 985 project of Harbin Institute of Technology. Authors’ contributions DZ and JS carried out the proof of existence, BW conceived of the study, and participated in its design and coordination. ... uniqueness of the solution if the reaction terms satisfy the Lipschitz condition. Keywords: Existence, Uniqueness, Degenerate, Monotone iteration 1 Introduction In t...

Ngày tải lên: 21/06/2014, 03:20

... research activity concerning the oscillation and nonoscillation of solutions of various equations on time scales, and we refer the reader to 5–18. Recently, Erbe et al. 19–21 considered the asymptotic ... and A. Peterson, Advances in Dynamic Equations on Time Scales,Birkh ¨ auser, Boston, Mass, USA, 2003. 5 M. Bohner and S. H. Saker, “Oscillation of second order nonl...

Ngày tải lên: 21/06/2014, 05:20

... to the study of stability and estimates of solutions of 1.1. 2. Exponential Stability and Estimates of the Convergence of Solutions to Stable Systems First we give two definitions of stability ... ˙xt. 5. Conclusions In this paper we derived statements on the exponential stability of system 1.1 as well as on estimates of the norms of its solutions and t...

Ngày tải lên: 21/06/2014, 11:20

... object of this article is to study existence and multiplicity of nontrivial solution of a fourth-order elliptic equation under some conditions on the function M(t) and the nonlinearity. The proof ... existence of a nontrivial critical point of functional I(u). 5 Existence and multiplicity of solutions for a fourth-order elliptic equation Fanglei Wang ∗1 and Yukun An 2...

Ngày tải lên: 21/06/2014, 17:20

... “Behavior of the positive solutions of the generalized Beddington-Holt equation,” PanAmerican Mathematical Journal, vol. 10, no. 4, pp. 77–85, 2000. 3 E. T. Copson, On a generalisation of monotonic ... Difference Equations and Applications, vol. 12, no. 8, pp. 863–885, 2006. 21 R. Devault, V. L. Kocic, and D. Stutson, “Global behavior of solutions of the nonlinear differe...

Ngày tải lên: 21/06/2014, 20:20

... done for nonoscillation of all solutions of nonlinear functional differential equations. In this connection, Parhi 10 established some sufficient conditions for oscillation of all solutions of ... sufficient conditions on the functions involved for all bounded solutions of the above equation to be nonoscillatory. Recently, in 2007, Tunc¸ 23 investigated nonoscillation of s...

Ngày tải lên: 22/06/2014, 02:20

... 40 45 50 55 60 OnS 2 )101( OnZ OnS 2 )01 1( On Z OnS 2 )001( OnZ )200( OnZ .u.a ,ytisnetnI 2 θ, deg. Fig. 3 XRD pattern of the samples deposited from solutions containing ZnCl 2 and thiocarbamide ... composition of ‘spots’ differ from the ZnO rods. As the formation of spots on ZnO lateral facets has been found only in the case of thiourea containing spray solutions, obviousl...

Ngày tải lên: 22/06/2014, 18:20

... of this contribution is to develop a method for construction of solutions of linear discrete systems with constant coefficients and w ith pure delay. Solutions are expressed with the aid of a special ... Description of the problem considered. The motivation of our investigation goes back to [10] dealing with the linear system of differential equations with constant coeffi- cien...

Ngày tải lên: 22/06/2014, 22:20