Fourier series and neutral functional differential equations
type: Item
instance of: scholarly article
zbMATH Open document ID: 1252.34079
author: Maozhong Shi
author: Guangwa Wang
publication date: 2012-07-20T00:00:00Z
full work available at URL: index.html
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K40
zbMATH DE Number: 6058730
zbMATH Keywords: periodic solutions
zbMATH Keywords: neutral equations
MaRDI profile type: Publication
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title: Fourier series and neutral functional differential equations
published in: International Journal of Mathematical Analysis (Ruse)
review text: The authors investigate the existence and uniqueness of periodic solutions to a class of neutral differential equations with delay of the form NEWLINE\[NEWLINEx''(t)+a_1x'(t)+a_2x(t)+ cx''(t-h)+c_1x'(t-h)+c_2x(t-h)=f(t),NEWLINE\]NEWLINE where \(h\geq 0,c,a_i,c_i\;(i=1,2)\) are constants, and \(f\) is a continuous and periodic function with period \(2\pi\). Moreover, the assumption that the Fourier series for \(f\) is uniformly convergent is required. Results are obtained by using Fourier series theory and real analytic inequalities.
reviewed by: Jan Ohriska
description: scientific article; zbMATH DE number 6058730