๐”– Bobbio Scriptorium
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Positive periodic solutions of higher-dimensional nonlinear functional difference equations

โœ Scribed by Dai, Bin-xiang ;Zou, Jie-zhong ;Zhang, Na

Book ID
107506393
Publisher
Chinese Electronic Periodical Services
Year
2005
Tongue
English
Weight
238 KB
Volume
12
Category
Article
ISSN
1005-9784

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๐Ÿ“œ SIMILAR VOLUMES

Positive solutions of nonlinear function
Positive solutions of nonlinear functional difference equations
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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.

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## 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

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## Communicated by R. Palais Abstract--Classification schemes for positive solutions of a class of higher-order nonlinear functional differential equations are given in terms of their asymptotic behavior, and necessary as well as sufficient conditions for the existence of these solutions are also