Periodic solutions for first order neutral functional differential equations with multiple deviating arguments

• Autorzy: Lequn Peng , Lijuan Wang
• Języki publikacji: EN

Abstrakty

EN

We consider first order neutral functional differential equations with multiple deviating arguments of the form
$(x(t)+Bx(t-δ))' = g₀(t,x(t)) + ∑_{k=1}^{n} g_{k}(t,x(t-τ_{k}(t))) + p(t)$.
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.

Kategorie tematyczne

• 34K13: Periodic solutions
• 34C25: Periodic solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 111
• Numer: 2
• Strony: 197-213

Daty

wydano

2014

Twórcy

autor

Lequn Peng

• College of Mathematics and Computer Science, Hunan University of Arts and Science, Changde, Hunan 415000, P.R. China

autor

Lijuan Wang

• Nanhu College, Jiaxing University, Jiaxing, Zhejiang 314001, P.R. China

Identyfikatory

DOI

10.4064/ap111-2-7