Oscillation of a Certain Class of Third Order Nonlinear Difference Equations

  title={Oscillation of a Certain Class of Third Order Nonlinear Difference Equations},
  author={Samir H. Saker},
In this paper, we are concerned with oscillation of the nonlinear difference equation ∆(cn [∆(dn∆xn)] )+qn f (xg(n)) = 0, n≥ n0, where γ > 0 is the quotient of odd positive integers, cn, dn and qn are positive sequences of real numbers, g(n) is a sequence of nonnegative integers and f ∈ C(R,R) such that u f (u) > 0 for u 6= 0. We establish some new sufficient conditions for oscillation by employing the Riccati substitution and the analysis of the associated Riccati difference inequality. Our… CONTINUE READING


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Publications referenced by this paper.
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Advanced Topics in Difference Equations

R. P. Agarwal, P.J.Y. Wong
Mathematics and its Applications, 404, Kluwer Acad. Publ., Dordrecht • 1997
View 9 Excerpts
Highly Influenced

Oscillation of certain third-order difference equations

R. P. Agarwal, S. R. Grace
Comput. Math. Appl. 42 • 2001
View 5 Excerpts
Highly Influenced

Difference Equations and Inequalities

R. P. Agarwal
second edition, Monographs and Textbooks in Pure and Applied Mathematics, 228, Dekker, New York • 2000
View 5 Excerpts
Highly Influenced

Thandapani , Oscillatory and asymptotic behavior of solutions of third order delay difference equations , Funkcial

J. R. Graef, E.
Ekvac . • 2009

An Introduction to Difference Equations

S. Elaydi
third edition, Undergraduate Texts in Mathematics, Springer, New York • 2005
View 1 Excerpt

Global asymptotic properties of third-order difference equations

Z. Došlá, A. Kobza
Comput. Math. Appl. 48 • 2004

Oscillation of third-order difference equations

S. H. Saker
Port. Math. (N.S.) 61 • 2004
View 2 Excerpts

Nonoscillatory solutions of third order difference equations , Portugal

E. Schmeidel
Math . • 2002

On the behaviour of solutions of a class of third order difference equations

N. Parhi, A. K. Tripathy
J. Difference Equ. Appl. 8 • 2002
View 1 Excerpt

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