Periodic Solutions in Shifts for a Nonlinear Dynamic Equation on Time Scales | Zendy

Erbil Çetin | Zendy; Fatma Serap Topal | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Periodic Solutions in Shifts for a Nonlinear Dynamic Equation on Time Scales

Author(s) -

Erbil Çetin,

Fatma Serap Topal

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/707319

Subject(s) - mathematics , nonlinear system , dynamic equation , differential equation , scale (ratio) , mathematical analysis , fixed point theorem , differential (mechanical device) , physics , quantum mechanics , thermodynamics

Let ⊂ℝ be a periodic time scale in shifts ±. We use a fixed point theorem due to Krasnosel'skiĭ to show that nonlinear delay in dynamic equations of the form Δ()=−()()+()Δ(−(,))Δ−(,)+(,(),(−(,))),∈, has a periodic solution in shifts ±. We extend and unify periodic differential, difference, ℎ-difference, and -difference equations and more by a new periodicity concept on time scales

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research