Zobrazeno 1 - 3
of 3
pro vyhledávání: '"B. L. S. Barik"'
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2007 (2007)
We find necessary conditions for every solution of the neutral delay difference equation Δ(rnΔ(yn−pnyn−m))+qnG(yn−k)=fn to oscillate or to tend to zero as n→∞, where Δ is the forward difference operator Δxn=xn+1−xn, and pn, qn, rn are
Externí odkaz:
https://doaj.org/article/5fdb75ada52e4aa4af55613267fc684c
Oscillation Criteria for the Solutions of Higher Order Functional Dierence Equations of Neutral type
Publikováno v:
British Journal of Mathematics & Computer Science. 3:330-340
In this paper, necessary and sufficient conditions are obtained so that the neutral functional difference equation ∆ ( yn − yτ(n) ) + qnG(yσ(n)) = fn, n ≥ n0, admits a positive bounded solution, where m ≥ 1 is an odd integer, ∆ is the for
Publikováno v:
Mathematica Slovaca. 60:361-384
Sufficient conditions are obtained so that every solution of the neutral functional difference equation $$ \Delta ^m (y_n - p_n y_{\tau (n)} ) + q_n G(y_{\sigma (n)} ) - u_n H(y_{\alpha (n)} ) = f_n , $$ oscillates or tends to zero or ±∞ as n →