Periodic Solutions in Shifts δ± for a Nonlinear Dynamic Equation on Time Scales
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-13
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
Let ?⊂ℝ be a periodic time scale in shifts δ±.
We use a fixed point theorem due to Krasnosel'skiĭ to show that nonlinear delay in dynamic equations of the form xΔ(t)=-a(t)xσ(t)+b(t)xΔ(δ-(k,t))δ-Δ(k,t)+q(t,x(t),x(δ-(k,t))),t∈?, has a periodic solution in shifts δ±.
We extend and unify periodic differential, difference, h-difference, and q-difference equations and more by a new periodicity concept on time scales.
American Psychological Association (APA)
Çetin, Erbil& Topal, F. Serap. 2012. Periodic Solutions in Shifts δ± for a Nonlinear Dynamic Equation on Time Scales. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-492165
Modern Language Association (MLA)
Çetin, Erbil& Topal, F. Serap. Periodic Solutions in Shifts δ± for a Nonlinear Dynamic Equation on Time Scales. Abstract and Applied Analysis No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-492165
American Medical Association (AMA)
Çetin, Erbil& Topal, F. Serap. Periodic Solutions in Shifts δ± for a Nonlinear Dynamic Equation on Time Scales. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-492165
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-492165