๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Oscillation of a family of -difference equations

โœ Scribed by Jia Baoguo; Lynn Erbe; Allan Peterson

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
383 KB
Volume
22
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

โœฆ Synopsis

We obtain the complete classification of oscillation and nonoscillation for the q-difference equation

In particular we prove that this q-difference equation is nonoscillatory, if c > 2 and is oscillatory, if c < 2. In the critical case c = 2 we show that it is oscillatory, if |b| > 1 q(q-1) , and is nonoscillatory, if |b| โ‰ค 1 q(q-1) .

๐Ÿ“œ SIMILAR VOLUMES

Oscillation of Nonlinear Delay Differenc
Oscillation of Nonlinear Delay Difference Equations
โœ X.H. Tang; J.S. Yu ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 97 KB

In this paper, two interesting oscillation criteria are obtained for all solutions of ลฝ . the nonlinear delay difference equations of the form y y y q p f y s 0, n s 0, 1, 2, . . . . Some applications are given to demonstrate the advantage of results obtained in this paper. Our results also improve

Oscillation of second-order linear diffe
Oscillation of second-order linear difference equations
โœ Xiaoping Li; Jianchu Jiang ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 272 KB

In this paper, we obtain new sufficient conditions for the oscillation of all solutions of the second-order linear difference equation where Axn = xt,+1 --xn is the forward difference operator, {Ph} is a sequence of nonnegative real numbers. Our results improve the know results in the literature.