ON MONOTONICITY OF SOLUTIONS OF DISCRETE-TIME NONNEGATIVE AND COMPARTMENTAL DYNAMICAL potx
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 discrete-time, nonlinear nonnegative dynamical ... present necessary and sufficient conditions for identifying discrete-time nonnegative and compartmental dynamical systems that only admit mono-tonic solutions. 1. Introduction Nonnegative dynamical systems...
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Báo cáo hóa học: " On the behavior of solutions of the system of rational difference equations" pptx
... EM: On the solutions of a class of difference equations systems. DemonstratioMathematica. 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. JMath Anal Appl. 310, 673–689 (2005)8. Özban, AY: On the positive solutions of the system of rational difference equationsxn+1=1yn−k,yn+1=ynxn−myn−m−k.. ... positive solutions of the system of rational difference equa-tionsxn+1=1yn−k, yn+1=ynxn−myn−m−k.In [9], Zhang et al. investigated the behavior of the positive solutions of the...
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Báo cáo hóa học: " Local existence and uniqueness of solutions of a degenerate parabolic system" pptx
... and also by the 985 project of Harbin Institute of Technology.Authors’ contributionsDZ 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 theLipschitz condition.Keywords: Existence, Uniqueness, Degenerate, Monotone iteration1 IntroductionIn this article, we consider the ... existence of the solutions and blowup properties of the solutions [7-9].In recent years, degenerate parabolic systems are of particular interests since theycan take into account nonlinear diffusion...
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Báo cáo hóa học: " Research Article Asymptotic Behavior of Solutions of Higher-Order Dynamic Equations on Time Scales" pptx
... research activity concerning the oscillation and nonoscillation of solutions of various equations on time scales, and we refer the reader to5–18.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 nonlinear dynamic equations on ... behaviors of higher order nonlinear dynamic equations on timescales,” Journal of Applied Mathematics and Computing. In press.18 T. Sun, H. Xi, X. Peng, and W. Yu, “Nonoscillatory solutions for...
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báo cáo hóa học:" Research Article Exponential Stability and Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant Coefficients" pot
... to the study of stability and estimates of solutions of 1.1.2. Exponential Stability and Estimates of the Convergence of Solutions to Stable SystemsFirst we give two definitions of stability ... ˙xt.5. ConclusionsIn 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 their derivatives in the case of exponentialstability ... generalizeonly the part of the results related to the exponential stability in the metric C0 and therelated estimates of the norms of solutions in the case of exponential stability and in thecase of...
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báo cáo hóa học:" Existence and multiplicity of solutions for a fourth-order elliptic equation" potx
... object of this article is to study existence and multiplicity of nontrivial solution of a fourth-order elliptic equation under someconditions on the function M(t) and the nonlinearity. The proof ... existence of a nontrivial critical point of functional I(u).5Existence and multiplicity of solutions fora fourth-order elliptic equationFanglei Wang∗1 and Yukun An21College of Science, ... Section 2 is devoted to giving the main result and proving the existence of nontrivial solution of Equation (1). In Section 3, we dealwith the multiplicity results of Equation (1) whose nonlinear...
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Báo cáo hoa học: " Research Article On Boundedness of Solutions of the Difference Equation xn 1 pxn qxn−1 / 1 xn for q 1 p 1" pot
... “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 differenceequation xn1 pn ... following.1 They are both monotonically increasing.2 They are both monotonically decreasing.3 Eventually, one of them is monotonically increasing, and the other is monotonicallydecreasing.Remark...
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Báo cáo hóa học: " Research Article New Results on the Nonoscillation of Solutions of Some Nonlinear Differential Equations of Third Order" docx
... done for nonoscillation of all solutions of nonlinear functional differential equations. In this connection, Parhi 10established 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 solutions of the ... Solutions of 1.1In this section, we obtain sufficient conditions for the nonoscillation of solutions of 1.1.Theorem 2.1. Let qt ≤ 0.Iflimt →∞ft/|pt|∞, then all bounded solutions of...
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Báo cáo hóa học: " ZnO Nanorods via Spray Deposition of Solutions Containing Zinc Chloride and Thiocarbamide" potx
... 40 45 50 55 60OnS2)101( OnZOnS2)011( On ZOnS2)001( OnZ)200( OnZ.u.a ,ytisnetnI2 θ, deg.Fig. 3 XRD pattern of the samples deposited from solutions containing ZnCl2 and thiocarbamide ... composition of ‘spots’differ from the ZnO rods. As the formation of spots on ZnOlateral facets has been found only in the case of thioureacontaining spray solutions, obviously the origin of spots ... 1a) and zincchloride containing thiocarbamide additive adjusting themolar ratio of Zn:tu = 1:0.25 (Fig. 1b). Zinc chlorideconcentration in solution of 0.05 mol/L and depositiontemperature of...
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Báo cáo hóa học: "REPRESENTATION OF SOLUTIONS OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND PURE DELAY" ppt
... 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 areexpressed with the aid of a special ... Description of the problem considered. The motivation of our investigation goesback to [10] dealing with the linear system of differential equations with constant coeffi-cients and constant delay. One ... expression of x serves as a motivation for the definition of discrete matrix delayedexponential.2.2. Definition of a discrete matrix delayed exponential. We define a discrete matrixfunction expm(Bk)...
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