Existence and uniqueness of periodic solutions for a kind of first order neutral functional differential equations. (English) Zbl 1101.34054

Liu, Bingwen; Huang, Lihong

J. Math. Anal. Appl. 322, No. 1, 121-132 (2006).

Summary: We use the coincidence degree theory to establish new results on the existence and uniqueness of \(T\)-periodic solutions for the first-order neutral functional-differential equation \[ (x(t)+Bx(t-\delta))'=g_1(t,x(t))+g_2(t,x(t-\tau))+p(t). \]

MSC:

34K13	Periodic solutions to functional-differential equations
34K40	Neutral functional-differential equations

Keywords:

first order; neutral; functional-differential equations; periodic solutions; coincidence degree

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