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 β¬ c β¬ 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, a
Oscillation and nonoscillation theorems for second-order difference equations
β Scribed by Jerzy Popenda
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 207 KB
- Volume
- 123
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
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
New oscillation and nonoscillation theorems are obtained for the second order Ε½ . Ε½ . w . Ε½. linear differential equation uΠ q p t u s 0, where p t g C 0, Ο± and p t G 0. Ε½ . w n n q 1 xΕ½ Conditions only about the integrals of p t on every interval 2 t , 2 t ns 0 0 . 1, 2, . . . for some fixed t )