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In this paper, we study the following type of a recursive sequence where p ≥ 2, k ≥ 1 are fixed integers, with the initial values x(n) > 0 for n = -pk 1,-pk 2,…,0. Our results generalize some results in the literature. We give illustrating examples of which solutions are calculated and plotted by the MatLab programming. -
Keywords: Convergence, pk periodic solution, recursive sequence.
The behaviour of the solutions of the following system of difference equations is examined. -
Keywords: Difference Equation, Maximum Operations, Semicycle
Within the framework of a piecewise homogenous body model and by the use of a three-dimensional linearized theory of stability (TLTS), the local near-surface buckling of a material system consisting of a half-space which is covered by the single layer and half-space materials is elastic. The equations of TLTS are obtained from the three-dimensional geometrically nonlinear equations of the theory of viscoelasticity by using the boundary form perturbations technique. By employing the Laplace and Fourier transform, a method for solving the problem is developed. Numerical results on the critical c ...Более