Asymptotic Behavior of Oscillatory Solutions of First Order Delay Differential Equations of Unstable Type

被引：0

作者：

Baba, Tateo ^{[1
]}

机构：

[1] Obirin High Sch, Machida, Tokyo 1940294, Japan

来源：

FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA | 2013年 / 56卷 / 02期

关键词：

Delay differential equation; Oscillatory solution; Asymptotic behavior; Unstable type; 3/2 STABILITY THEOREM;

D O I：

10.1619/fesi.56.177

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the asymptotic behavior of solutions of the first order delay differential equations of unstable type. A new sufficient condition is given under which every oscillatory solution of the delay equation of unstable type tends to zero asymptotically.

引用

页码：177 / 191

页数：15

共 10 条

[1] [Anonymous], 1987, MONOGRAPHS TXB PURE
[2] Erbe L.H., 1995, MONOGRAPHS TXB PURE, V190
[3] EXISTENCE AND GROWTH OF OSCILLATORY SOLUTIONS OF 1ST-ORDER UNSTABLE TYPE DELAY DIFFERENTIAL-EQUATIONS
GYORI, I
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1989, 13 (07) : 739 - 751
[4] Kuang Y., 1993, MATH SCI ENG, V191
[5] Ladas G., 1988, HIROSHIMA MATH J, V18, P351
[6] Global attractivity results for nonlinear delay differential equations
Matsunaga, H
Miyazaki, R
Hara, T
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 234 (01) : 77 - 90
[7] On Yoneyama's 3/2 stability theorems for one-dimensional delay differential equations
Muroya, Y
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 247 (01) : 314 - 322
[8] Asymptotic decay of the oscillatory solutions to first order non-autonomous linear unstable type delay differential equations
Philos, Ch. G.
Purnaras, I. K.
Sficas, Y. G.
[J]. FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2006, 49 (03): : 385 - 413
[9] THE 3/2 STABILITY THEOREM FOR ONE-DIMENSIONAL DELAY-DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY
YONEYAMA, T
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 165 (01) : 133 - 143
[10] ON THE 3/2 STABILITY THEOREM FOR ONE-DIMENSIONAL DELAY-DIFFERENTIAL EQUATIONS
YONEYAMA, T
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 125 (01) : 161 - 173

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