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On positive periodic solutions of functional difference equations with forcing term and applications

โœ Scribed by Xingyuan Liu; Yuji Liu

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
260 KB
Volume
56
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

Consider the following non-autonomous first order functional difference equation

It is shown that, under certain assumptions, there exist positive periodic solutions. Applications are given to illustrate the main results.

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 periodic solutions of functiona
Positive periodic solutions of functional differential equations with impulses and a parameter
โœ Yongkun Li; Xuanlong Fan; Lili Zhao ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 234 KB

By applying the well-known Leggett-Williams multiple fixed point theorem, this paper investigates the existence of multiple positive periodic solutions of functional differential equations with impulses and a parameter.