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Construction of a fundamental system of solutions of a linear finite-order difference equation

✍ Scribed by V. E. Kruglov


Publisher
Springer
Year
2009
Tongue
English
Weight
168 KB
Volume
61
Category
Article
ISSN
0041-5995

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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