Periodic solutions of a class of impulsive neutral delay differential equation
โ Scribed by Xiao-Ke Sun; Hai-Feng Huo; Cao-Chuan Ma
- Book ID
- 119187026
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 215 KB
- Volume
- 219
- Category
- Article
- ISSN
- 0096-3003
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๐ SIMILAR VOLUMES
By using a fixed point theorem of strict-set-contraction, some criteria are established for the existence of positive periodic solutions for a periodic neutral functional differential equation with impulses of the form
In this paper, we study the existence and uniqueness of periodic solutions of the nonlinear neutral functional differential equation with infinite delay of the form d dt In the process we use the fundamental matrix solution of and construct appropriate mappings, where u โ C (R, R n ) is an ฯ-perio
Sufficient conditions are obtained for the existence of a positive periodic หn ลฝ . ลฝ .w ลฝ . ลฝ . solution of the periodic neutral delay equation N t s N t a t y ร b t js1 j n ลฝ . ลฝ . ลฝ . x N t y y ร c t N t y , which arise in a ''food-limited'' population model. j j s 1 j j
In this paper, effective sufficient conditions for the oscillation of all solutions of impulsive neutral delay differential equations of the form are established. Our results reveal the fact that the oscillatory properties of all solutions of Eqs. \* and \* \* may be caused by the impulsive perturb