Geodesic
Periodic solutions for first order neutral functional differential equations with multiple deviating arguments
Lequn Peng1 ; Lijuan Wang2
1College of Mathematics and Computer Science Hunan University of Arts and Science Changde, Hunan 415000, P.R. China
2Nanhu College Jiaxing University Jiaxing, Zhejiang 314001, P.R. China
Annales Polonici Mathematici, Tome 111 (2014) no. 2, pp. 197-213
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We consider first order neutral functional differential equations with multiple deviating arguments of the form $$ (x(t)+Bx(t-\delta))'= g_{0}(t,x(t))+\sum\limits_{k=1}^{n}g_{k}(t,x(t-\tau_{k} (t))) +p(t). $$ By using coincidence degree theory, we establish some sufficient conditions on the existence and uniqueness of periodic solutions for the above equation. Moreover, two examples are given to illustrate the effectiveness of our results.
DOI : 10.4064/ap111-2-7
Keywords: consider first order neutral functional differential equations multiple deviating arguments form t delta sum limits t tau using coincidence degree theory establish sufficient conditions existence uniqueness periodic solutions above equation moreover examples given illustrate effectiveness results

Lequn Peng  1   ; Lijuan Wang  2

1 College of Mathematics and Computer Science Hunan University of Arts and Science Changde, Hunan 415000, P.R. China
2 Nanhu College Jiaxing University Jiaxing, Zhejiang 314001, P.R. China 
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     title = {Periodic solutions for first order
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 neutral functional differential equations
 with multiple deviating arguments
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Lequn Peng; Lijuan Wang. Periodic solutions for first order
 neutral functional differential equations
 with multiple deviating arguments. Annales Polonici Mathematici, Tome 111 (2014) no. 2, pp. 197-213. doi: 10.4064/ap111-2-7

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