𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Oscillation and Nonoscillation Theorems for Certain Second-Order Difference Equations with Forcing Term

✍ Scribed by S.R. Grace; H.A. El-Morshedy

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
180 KB
Volume
216
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we are concerned with some new criteria for the oscillation and nonoscillation of the second-order nonhomogeneous linear difference equations of Ε½ . Γ„ 4Γ„ 4 Γ„ 4 the form ⌬ c ⌬ x q q x s f , n s 1, 2, . . . , where c , f , and q are ny 1 ny1 n n n n n n real sequences, c ) 0 for n G 0, and ⌬ x s x y x is the forward difference n nn q 1n

operator. The discrete analogs of some of the known results in the continuous case are presented.

πŸ“œ SIMILAR VOLUMES

Oscillation Theorems for Certain Second
Oscillation Theorems for Certain Second Order Nonlinear Difference Equations
✍ Patricia J.Y. Wong; Ravi P. Agarwal πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 178 KB

In this paper discrete inequalities are used to offer sufficient conditions for the oscillation of all solutions of the difference equation Ε½ . n n n q 1 n q 1 n where 0 -s prq with p, q odd integers, or p even and q odd integers. Several examples which dwell upon the importance of our results are

Oscillation and Nonoscillation for Secon
Oscillation and Nonoscillation for Second Order Linear Differential Equations
✍ Chunchao Huang πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 176 KB

New oscillation and nonoscillation theorems are obtained for the second order Ž . Ž . w . Ž. linear differential equation uЉ q p t u s 0, where p t g C 0, ϱ and p t G 0. Ž . w n n q 1 xŽ Conditions only about the integrals of p t on every interval 2 t , 2 t ns 0 0 . 1, 2, . . . for some fixed t )

Oscillation and Nonoscillation for Secon
Oscillation and Nonoscillation for Second Order Linear Impulsive Differential Equations
✍ Chunchao Huang πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 198 KB

We study the oscillation and nonoscillation for the second order linear impulsive Ε½ . Ε½ . differential equation uΠ‰ s yp t u, where p t is an impulsive function defined by Ε½ . Ο± Ε½ . p t s Ý a ␦ t y t , and we establish a necessary and sufficient condition for Ε½ . oscillation or nonoscillation of th