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Nonoscillation criteria for half-linear second-order difference equations

✍ Scribed by O. Došlý; P. Řehák

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
462 KB
Volume
42
Category
Article
ISSN
0898-1221

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✦ Synopsis

Nonoscillation criteria for the half-linear second-order difference equation ZX(rk¢,(~Xxk))+ck~(Xk+l) =0, ~,(x) := IxlP-2x, p> 1, are established. These criteria are derived using the Riccati and variational technique.

📜 SIMILAR VOLUMES

Nonoscillation criteria for second-order
Nonoscillation criteria for second-order half-linear differential equations
✍ Horng-Jaan Li; Cheh-Chih Yeh 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 373 KB

Two nonoscillatory characterizations of solutions of the half-linear second-order differential equation of the form [p(t)ly'l~-ly'] ' + q(t)lyla-ly = o, a > o are established for 7r(t0) := fto(P(S))-l/a ds < oo, and ~r(t0) = oo, respectively. Using these results, we obtain some sufficient conditions