# Global Behavior of the Max-Type Difference Equation xn+1 = max{1/xn, An/xn-1}

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This paper is devoted to obtain the form of the solution and the qualitative properties of the following systems of a rational difference equations of order two ... with positive initial conditions x-1, x0, y-1 and y0 are nonzero real numbers. If we let un = xnxn-1 and vn = ynyn-1, then these...

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We obtain new Lyapunov-type inequalities for systems of nonlinear impulsive differential equations, special cases of which include the impulsive Emden-Fowler equations and half-linear equations. By applying these inequalities, sufficient conditions are derived for the disconjugacy of solutions...