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Perturbations of solutions of the sinorini problem for a second-order scalar equation

✍ Scribed by S. A. Nazarov


Book ID
105098371
Publisher
SP MAIK Nauka/Interperiodica
Year
1990
Tongue
English
Weight
628 KB
Volume
47
Category
Article
ISSN
0001-4346

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Linear Perturbations of a Nonoscillatory
✍ William F. Trench πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 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