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Zbl 1101.34054
Liu, Bingwen; Huang, Lihong
Existence and uniqueness of periodic solutions for a kind of first order neutral functional differential equations. (English)
[J] J. Math. Anal. Appl. 322, No. 1, 121-132 (2006). ISSN 0022-247X

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 2000:: *34K13 Periodic solutions of functional differential equations
34K40 Neutral equations

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

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Zentralblatt MATH Berlin [Germany]