科研之友
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摘要
This paper concerns the oscillation of solutions to the second sublinear dynamic equation with damping x(Delta Delta) (t) q (t)x(Delta sigma) (t) p(t)x(alpha)(sigma(t)) = 0, on an isolated time scale T which is unbounded above. In 0 < alpha < 1, alpha is the quotient of odd positive integers. As an application, we get the difference equation Delta(2)x(n) n(-gamma) Delta x( n 1) [(1/n(In n(beta)) b((-1)(n)/(In n)(beta))]x(alpha) (n 1) = 0, where gamma > 0, beta > 0, and b is any real number, is oscillatory.
