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Positive solutions of nonlinear functional difference equations

โœ Scribed by P.W Eloe; Y Raffoul; D.T Reid; K.C Yin

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

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โœฆ Synopsis

In this paper, we apply a cone theoretic fixed-point theorem and obtain sufficient conditions for the existence of positive solutions to some boundary value problems for a class of functional difference equations.

We consider analogues of sublinear or superlinear growth in the nonlinear terms.

๐Ÿ“œ SIMILAR VOLUMES

Positive periodic solutions of nonlinear
Positive periodic solutions of nonlinear functional difference equations depending on a parameter
โœ Yongkun Li; Lifei Zhu; Ping Liu ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 321 KB

## In this paper, we use the upper and lower solutions method to show that there exists a A\*, such that the nonlinear functional difference equation of the form has at least one positive T-periodic solutions for A E (0, A\*] and does not have any positive T-periodic solutions for A > A\*, where a

Positive Solutions of Second Order Nonli
Positive Solutions of Second Order Nonlinear Difference Equations
โœ Bing Liu; Sui Sun Cheng ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 131 KB

Necessary and sufficient conditions are obtained for existence of positive solutions of a nonlinear difference equation. Relations between this equation and an advanced type nonlinear difference equation are also discussed.