Oscillation condition for second order half-linear advanced difference equation with variable coefficients
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DOI:
https://doi.org/10.26637/MJM0804/0089Abstract
Our aim of this paper is to determine sufficient condition for the oscillation of all solutions of second order half-linear difference equations with variable co-efficients of advanced argument of the form \(\Delta\left[r(n)(\Delta y(n))^\alpha\right]+q(n) y^\alpha(n+\sigma)=0, n \geq n_0\), where \(\Delta\) is the forward difference operator given by \(\Delta x(n)=x(n+1)-x(n)\), when \(\sum_{n=n_0}^{\infty} \frac{1}{r^{\frac{1}{d}}(s)}<\infty\). Our results improve and simplify a number of existing ones.
Keywords:
Oscillation, second order, half-linear, advanced difference equationsMathematics Subject Classification:
Mathematics- Pages: 1872-1879
- Date Published: 01-10-2020
- Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
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