Existence of Positive Periodic Solutions in Shifts delta(+/-) for a Nonlinear First Order Functional Dynamic Equation on Time Scales
Küçük Resim Yok
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let T subset of R be a periodic time scale in shifts delta(+/-) with period P is an element of [t(0),infinity)(T). In this paper we consider the nonlinear functional dynamic equation of the form x(del)(t) = a(t)x(t) - lambda b(t)f(x(h(t))), t is an element of T. By using the Krasnoselskii, Avery-Henderson and Leggett-Williams fixed point theorems, we present different sufficient conditions for the nonexistence and existence of at least one, two or three positive periodic solutions in shifts delta(+/-) of the above problem on time scales. 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
periodic time scale, periodic solution, shift operator, time scale
Kaynak
Filomat
WoS Q Değeri
Q2
Scopus Q Değeri
Cilt
30
Sayı
9
