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Further results on fixed-sign solutions for a system of higher-order difference equations

✍ Scribed by P.J.Y. Wong; R.P. Agarwal

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

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πŸ“œ SIMILAR VOLUMES

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In this paper, we study the existence of solution of the nonlinear second-order difference problem with Neumann boundary conditions. Assuming the existence of a pair of ordered lower and upper solutions y and p, we obtain optimal existence results for the case y < p and even for y 2 p. To this end,

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We consider the following system of higher order three-point boundary-value problems where i = 1, 2, . . . , n, m i β‰₯ 3, 1 2 (a + b) < t \* < b, ΞΎ β‰₯ 0, Ξ΄ > 0 and Ο† i 's are deviating arguments. Several criteria are offered for the existence of three fixed-sign solutions (u 1 , u 2 , . . . , u n ) o

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In this paper, we sh 1 r~ults whi ~u~~tee the Epstein of one or above co~t~t-sign ~l~tio~s to the foil equations on a time scale T, where a, a < ~(~), and L is kx positive ~~te~erT o ~d~~s~~d the notations used in (1.1 f , we ret (4 be ES time scale, i.e., cloud su~et o that T has the topolo for any