ASYMPTOTIC ESTIMATES AND EXPONENTIAL STABILITY FOR HIGHER-ORDER MONOTONE DIFFERENCE EQUATIONS ´ ppt

... are positive integers and the coefficients K i and b are constants. For other examples of higher-order di fference equations with a positively homogeneous right-hand side, see, for example, [6]. Using ... C.T.H.BakerandA.Tang,Generalized Halanay inequalities for Volterra functional differen- tial equations and discretized versions, Volterra Equations and Applications (Arling...

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... Difference Equations and uniqueness of the solutions to random impulsive differential equations, and in 18 Zhao and Zhang discussed the exponential stability of random impulsive integro-differential equations ... the methods to discuss the exponential stability of deterministic impulsive differential equations of neutral type and the exponential stability for random...

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... uniqueness, and global exponential stability of equilibrium point for the ad- dressed neural network are derived by M-matrix theory, analytic methods, and inequal- ity techniques. Moreover, the exponential ... J. Xu, “New stability conditions for neural networks with constant and variable delays,” Chaos, Solitons and Fractals, vol. 26, no. 5, pp. 1391–1398, 2005. [29] Q. S...

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... Necessary and s ufficient conditions for the oscillation of differ- ence equations, Panamer. Math. J. 2 (1992), no. 1, 17–26. [11] Ch.G.Philos ,Asymptotic behaviour, nonoscillation and stability ... differential equations, Proc. Roy. Soc. Edinburgh Sect. A 128 (1998), no. 6, 1371–1387. AN ASYMPTOTIC RESULT FOR SOME DELAY DIFFERENCE EQUATIONS WITH CONTINUOUS VARIABLE CH. G. PHIL...

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... instruction for all students • the need for clear, objective, and scientifically based information on the effectiveness of different types of reading instruction and the need to have such research inform ... Ashton-Scholastic. House of Representatives Standing Committee on Employment Education and Training. (1992). The literacy challenge: Strategies for early intervention for li...

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... letter’s con- text. Other approaches, such as those of Bisani and Ney (2002) and Marchand and Damper (2000), have shown that better performance can be achieved by pairing letter substrings with ... Synthesis, pages 77–89. New York, USA. Robert I. Damper, Yannick Marchand, John DS. Marsters, and Alexander I. Bazin. 2005. Aligning text and phonemes for speech technology applications...

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... theoretically valid on the one hand, and the tagged corpus would be of practical use for NLP tasks (e.g. parsing) on the other. In our approach, each tag consists of a letter code for the general classification ... the one hand we still recognise it as a verb, but on the other hand we can distinguish it from its normal form of usage. Moreover, theoretically we do not treat it as nominal...

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... − r  i=1 α i (n)z n−m i  0. Putting lim n→∞ z n = β, we have β  0 and lim n→∞ w n = β + δβ = (1 + δ)β  0. Therefore, w n > 0 for n sufficient large. On the other hand, w n = z n + δz n−τ  (1 + δ)z n , which ... function which is defined for n  −A and sastisfies the equation (2) for n ∈ N. Clearly, if x n = a n , n = −A, −A + 1, · · · , −1, 0 are given, then (2) has a unique...

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... 0.1 and 10 · K m . The enzyme concentrations used were 200 nm for wild-type and 1 lm for serine-binding mutants. After stopping the reac- tion, radioactive products were separated by TLC and quantified ... path- length cuvette was used, and spectra were accumulated over five scans. Native PAGE and gel-retardation assay In order to check for complex formation between cognate tRNA...

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