Results 21 to 30 of about 674 (52)
Accurate solution estimates for vector difference equations
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 48, Page 3059-3066, 2003., 2003 Accurate estimates for the norms of the solutions of a vector difference equation are derived. They give us stability conditions and bounds for the region of attraction of the stationary solution. Our approach is based on estimates for the powers of a constant matrix.
Rigoberto Medina
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Existence and global stability of positive periodic solutions of a discrete delay competition system
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 38, Page 2401-2413, 2003., 2003 The existence and the global stability of positive periodic solutions of a discrete competition model is studied. The model incorporates time delays and allows for a fluctuating environment. By means of some standard procedures of the topological degree method and the construction of a suitable Lyapunov function, sufficient conditions are obtained to ...
Hai-Feng Huo, Wan-Tong Li
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International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 39, Page 2455-2463, 2003., 2003 A kth‐order linear difference equation with constant coefficients subject to boundary conditions is considered. A necessary and sufficient condition for the existence of a unique solution for such a boundary value problem is established. The condition established answers a fundamental question for well‐posedness and can be easily applied using a simple
Raghib Abu-Saris, Wajdi Ahmad
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Global attractivity in a genotype selection model
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 9, Page 537-544, 2002., 2002 We obtain a sufficient condition for the global attractivity of the genotype selection model yn+1=yneβn(12−yn−k)/(1−yn+yneβn(12−yn−k)), n ∈ ℕ. Our results improve the results established by Grove et al. (1994) and Kocić and Ladas (1993).
Xiaoping Li
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Dynamics Study and Solutions Expressions of Rational Discrete Systems
Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.This article goal is to study the qualitative behaviors for the following rational difference systems Un+1 = d1Un−1 + a1Vn−5Un−1/b1 + e1Vn−5 + Vn−3(s1 + c1Vn−5VnUn−4Un−1), Vn+1 = d2Vn−1 + a2Un−5Vn−1/b2 + e2Un−5 + Un−3(s2 + c2Un−5UnVn−4Vn−1), namely, local asymptotic stable, global attractor of the equilibrium points and the boundedness of the positive ...
B. S. Alofi, Ahmed Ezzat Matouk
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Asymptotic behavior of the solutions of a discrete reaction‐diffusion equation
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 5, Page 257-264, 2002., 2002 By means of Bihari type inequalities, we derive sufficient conditions for solutions of a discrete reaction‐diffusion equation to be bounded or to converge to zero. Asymptotic representation of solutions are also derived. Our results yield estimates and explicit attractive regions for the solutions.
Rigoberto Medina, Sui Sun Cheng
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Necessary conditions for linear noncooperative N-player delta differential games on time scales
, 2007 We present necessary conditions for linear noncooperative N-player delta dynamic games on a generic time scale. Necessary conditions for an open-loop Nash-equilibrium and for a memoryless perfect state Nash-equilibrium are proved.Comment: Partially ...
Martins, Natalia, Torres, Delfim F. M.
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Estimates for the norms of solutions of delay difference systems
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 11, Page 697-703, 2002., 2002 We derive explicit stability conditions for delay difference equations in ℂn (the set of n complex vectors) and estimates for the size of the solutions are derived. Applications to partial difference equations, which model diffusion and reaction processes, are given.
Rigoberto Medina
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International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 3, Page 175-182, 2001., 2001 We consider the global existence and asymptotic behavior of solution of second‐order nonlinear impulsive differential equations.
Denghua Cheng, Jurang Yan
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Some discrete Poincaré‐type inequalities
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 7, Page 479-488, 2001., 2001 Some discrete analogue of Poincaré‐type integral inequalities involving many functions of many independent variables are established. These in turn can serve as generators of further interesting discrete inequalities.
Wing-Sum Cheung
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