PERIODIC SOLUTIONS OF A CLASS OF HIGHER ORDER NEUTRAL TYPE EQUATIONS

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (6): 647-652.

PERIODIC SOLUTIONS OF A CLASS OF HIGHER ORDER NEUTRAL TYPE EQUATIONS

曹进德

Adult Education College, Yunnan University, Kunming 650091, P. R. China

收稿日期:1996-12-16 修回日期:1999-02-04 出版日期:1999-06-18 发布日期:1999-06-18
基金资助:
the Natural Science Foundation of Yunnan Province,China(97A012G)

PERIODIC SOLUTIONS OF A CLASS OF HIGHER ORDER NEUTRAL TYPE EQUATIONS

Cao Jinde

Adult Education College, Yunnan University, Kunming 650091, P. R. China

Received:1996-12-16 Revised:1999-02-04 Online:1999-06-18 Published:1999-06-18
Supported by:
the Natural Science Foundation of Yunnan Province,China(97A012G)

摘要/Abstract

摘要： In this paper,by using the theory of Fourier series,some necessary and sufficient conditions of existence and uniqueness of periodic solutions of a class of higher order neutral type equations are obtained.The main results by Shi Jian guo in “Discussion on the periodic solutions for linear equation of neutral type with constant coefficients” are improved,i.e.,the condition|b₀|≠1 inst ead of the condition |b₀|<1/2 of Theorem 1 by Shi Jian guo is given.Other theorems by Shi are rebuilt and improved according to the new assumption.

关键词: periodic solution, neutral type equation, Fourier series

Abstract: In this paper,by using the theory of Fourier series,some necessary and sufficient conditions of existence and uniqueness of periodic solutions of a class of higher order neutral type equations are obtained.The main results by Shi Jian guo in “Discussion on the periodic solutions for linear equation of neutral type with constant coefficients” are improved,i.e.,the condition|b₀|≠1 inst ead of the condition |b₀|<1/2 of Theorem 1 by Shi Jian guo is given.Other theorems by Shi are rebuilt and improved according to the new assumption.

Key words: periodic solution, neutral type equation, Fourier series

中图分类号:

O175.1

曹进德. PERIODIC SOLUTIONS OF A CLASS OF HIGHER ORDER NEUTRAL TYPE EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(6): 647-652.

Cao Jinde. PERIODIC SOLUTIONS OF A CLASS OF HIGHER ORDER NEUTRAL TYPE EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(6): 647-652.

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PERIODIC SOLUTIONS OF A CLASS OF HIGHER ORDER NEUTRAL TYPE EQUATIONS

PERIODIC SOLUTIONS OF A CLASS OF HIGHER ORDER NEUTRAL TYPE EQUATIONS

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