𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Oscillatory and asymptotic behavior of certain difference equation

✍ Scribed by Ewa Schmeidel; Błażej Szmanda

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
375 KB
Volume
47
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

✦ Synopsis

.
This paper is concerned with a class of higher order nonlinear difference equations. Necessary and sufficient conditions are obtained for the differenece equation to admit the existence of nonoscillatory solutions with special asymptotic properties. Also, necessary and sufficient conditions for oscillation are given.

📜 SIMILAR VOLUMES

Oscillatory and asymptotic behavior of h
Oscillatory and asymptotic behavior of higher order difference equations
✍ A. Zafer 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 507 KB

This paper is concerned with the oscillation of solutions of neutral difference equation and the asymptotic behavior of solutions of delay difference equation t E I, where I is the discrete set (0, 1,2,. . . } and A is the forward difference operator Ar(t) = z(t+l) --2(t).

Asymptotic behavior of certain Riccati d
Asymptotic behavior of certain Riccati difference equations
✍ K. Balla 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 483 KB

Matrix Riccati difference equations are investigated on the infinite index set. Under natural assumptions an existence and uniqueness theorem is proven. The existence of the asymptotic expansion of the solution and computability of its coefficients are shown, provided the coefficients of the equatio