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Positive periodic solutions of nonlinear differential systems with impulses

โœ Scribed by Yongkun Li

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
295 KB
Volume
68
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES

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.

Positive periodic solutions of second-or
Positive periodic solutions of second-order nonlinear differential systems with two parameters
โœ Jun Wu; Zhicheng Wang ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 282 KB

By employing the Deimling fixed point index theory, we consider a class of second-order nonlinear differential systems with two parameters (ฮป, ยต) โˆˆ R 2 + \ {(0, 0)}. We show that there exist three nonempty subsets of R 2 + \ {(0, 0)}: ฮ“ , โˆ† 1 and โˆ† 2 such that R 2 + \ {(0, 0)} = ฮ“ โˆช โˆ† 1 โˆช โˆ† 2 and th