Periodic Solutions in Shifts delta(+/-) for a Nonlinear Dynamic Equation on Time Scales
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Tarih
2012
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Yayıncı
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.
Açıklama
Anahtar Kelimeler
Kaynak
Abstract and Applied Analysis
WoS Q Değeri
Q1