Oscillation of a Class of Third Order Generalized Functional Difference Equation
Keyword(s):
The authors intend to establish new oscillation criteria for a class of generalized third order functional difference equation of the form \begin{equation}{\label{eq01}} \Delta_{\ell}\left(a_2(n)\left[\Delta_{\ell}\left(a_1(n)\left[\Delta_{\ell}z(n)\right]^{\beta_1}\right)\right]^{\beta_2}\right)+q(n)f(x(g(n)))=0, ~~n\geq n_0, \end{equation} where $z(n)=x(n)+p(n)x(\tau(n))$. We also present sufficient conditions for the solutions to converges to zero. Suitable examples are presented to validate our main results.
2019 ◽
Vol 6
(1)
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pp. 57-64
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2020 ◽
Vol 9
(7)
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pp. 4369-4382
Keyword(s):
1964 ◽
Vol 31
(3)
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pp. 445-448
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2004 ◽
Vol 69
(1)
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pp. 27-69
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