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A difference scheme for a non-linear singularly perturbed second-order equation

โœ Scribed by A.I. Zadorin; V.N. Ignat'yev

Publisher
Elsevier Science
Year
1990
Weight
340 KB
Volume
30
Category
Article
ISSN
0041-5553

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๐Ÿ“œ SIMILAR VOLUMES

Linear Perturbations of a Nonoscillatory
Linear Perturbations of a Nonoscillatory Second Order Difference Equation
โœ William F. Trench ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 โˆž 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