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Nonoscillatory solutions of a second-order difference equation of Poincaré type

✍ Scribed by Rigoberto Medina; Mihály Pituk

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

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📜 SIMILAR VOLUMES

Linear Perturbations of a Nonoscillatory
Linear Perturbations of a Nonoscillatory Second Order Difference Equation
✍ William F. Trench 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 86 KB

Let x 1n and x 2n be recessive and dominant solutions of the nonoscillatory difference equation r n-1 x n-1 + p n x n = 0. It is shown that if ∞ f n x 1n x 2n converges (perhaps conditionally) and satisfies a second condition on its order of covergence, then the difference equation r n-1 y n-1 + p n