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ABSTRACT: In this paper, we consider higher order nonlinear neutral dynamic equation on time scales. Some sufficient conditions are
obtained for existence of a nonoscillatory solution for the higher order equation by using fixed point theory and defining
the compressed injection on a set.
Journal of Applied Mathematics and Computing 05/2012; 28(1):29-38.
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ABSTRACT: In this paper, we are mainly concerned with the classification of nonoscillatory solutions for the higher order difference
equation and some existence results for some kinds of nonoscillatory solutions.
Journal of Applied Mathematics and Computing 04/2001; 8(2):311-324.
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ABSTRACT: We consider the second-order advanced functional difference equation Δ(a(n)Δχ(n)) + p(n)χ(g(n)) = 0,where a(n) > 0, , p(n) ≥ 0, p(n) ≡ 0, g(n) ≥ n + 1, {g(n)} is a monotone increasing integer sequence. We obtain some new oscillation criteria through an appropriate Riccati equation.
Computers & Mathematics with Applications.
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ABSTRACT: In this paper, we investigate the oscillation of Third-order difference equation with impulses. Some sufficient conditions for the oscillatory behavior of the solutions of Third-order impulsive difference equations are obtained.
Journal of Computational and Applied Mathematics.