Periodic Solutions in Shifts delta(+/-) for a Nonlinear Dynamic Equation on Time Scales

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Tarih

2012

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Hindawi Publishing Corporation

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

Let T subset of R be a periodic time scale in shifts delta(+/-). We use a fixed point theorem due to Krasnosel'ski(sic) to show that nonlinear delay in dynamic equations of the form x(Delta)(t) = -a(t)x(sigma)(t) + b(t)x(Delta)(delta(-)(k, t))delta(Delta)(-)(k, t) + q(t, x(t), x(delta_(k, t)), t is an element of T, has a periodic solution in shifts delta(+/-). We extend and unify periodic differential, difference, h-difference, and q-difference equations and more by a new periodicity concept on time scales.

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Kaynak

Abstract and Applied Analysis

WoS Q Değeri

Q1

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