Comparison Theorems and Oscillation Criteria for Difference Equations
β Scribed by B.G. Zhang; Yong Zhou
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 89 KB
- Volume
- 247
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
First, we establish the equivalence of the oscillation of the delay difference equation β¬ x q p x s 0,
Next, we obtain some sharp conditions for oscillations and nonoscillations of the first equation.
π SIMILAR VOLUMES
This paper considers the delay difference equation where p n is a sequence of nonnegative real numbers and k is a positive integer. Some new oscillation criteria for this equation are obtained. Our theorems improve all known results in the literature.
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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