Positive periodic solutions in shifts for a nonlinear first-order functional dynamic equation on time scales

被引：4

作者：

Cetin, Erbil ^{[1
]}

机构：

[1] Ege Univ, Dept Math, TR-35100 Izmir, Turkey

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2014年

关键词：

periodic time scale; periodic solution; shift operator; time scale; DIFFERENCE-EQUATIONS; EXISTENCE;

D O I：

10.1186/1687-1847-2014-76

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let be a periodic time scale in shifts with period . We consider the existence of positive periodic solutions in shifts for the nonlinear functional dynamic equation of the form x (t) = - a(t) xs (t) +.b(t) f (t, x(h(t))), t. T using the cone theory techniques. We extend and unify periodic differential, difference, h-difference and q-difference equations and more by a new periodicity concept on time scales.

引用

页数：13

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