A Survey on the Oscillation of Solutions of First Order Delay Difference Equations
-
L. K. Kikina
ipstav@cc.uoi.gr
-
I.P. Stavroulakis
ipstav@cc.uoi.gr
Downloads
Abstract
In this paper, a survey of the most interesting results on the oscillation of all solutions of the first order delay difference equation of the form
xn+1 − xn + pnxn−k = 0, n= 0, 1, 2, ...,
where {pn} is a sequence of nonnegative real numbers and k is a positive integer is presented, especially in the case when neither of the well-known oscillation conditions
and
is satisfied.
Keywords
Similar Articles
- M. H. Farag, T. A. Talaat, E. M. Kamal, Existence and uniqueness solution of a class of quasilinear parabolic boundary control problems , CUBO, A Mathematical Journal: Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal
- Masaru Ikehata, Inverse Crack Problem and Probe Method , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
- Ioannis K. Argyros, Saïd Hilout, On the solution of generalized equations and variational inequalities , CUBO, A Mathematical Journal: Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal
- Michael Holm, Sum and Difference Compositions in Discrete Fractional Calculus , CUBO, A Mathematical Journal: Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal
- Zhenlai Han, Shurong Sun, Symplectic Geometry Applied to Boundary Problems on Hamiltonian Difference Systems , CUBO, A Mathematical Journal: Vol. 8 No. 2 (2006): CUBO, A Mathematical Journal
- Xue Ping Wang, Semi-classical measures and the Helmholtz Equation , CUBO, A Mathematical Journal: Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal
- Martin Bohner, Julius Heim, Ailian Liu, Solow models on time scales , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- Abderrahim Guerfi, Abdelouaheb Ardjouni, Existence, uniqueness, continuous dependence and Ulam stability of mild solutions for an iterative fractional differential equation , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Cheok Choi, Gen Nakamura, Kenji Shirota, Variational approach for identifying a coefficient of the wave equation , CUBO, A Mathematical Journal: Vol. 9 No. 2 (2007): CUBO, A Mathematical Journal
- Khalida Aissani, Mouffak Benchohra, Nadia Benkhettou, On Fractional Integro-differential Equations with State-Dependent Delay and Non-Instantaneous Impulses , CUBO, A Mathematical Journal: Vol. 21 No. 1 (2019)
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.