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OSCILLATION OF 1ST-ORDER DELAY EQUATIONS
被引:50
作者
:
KWONG, MK
论文数:
0
引用数:
0
h-index:
0
机构:
Mathematics and Computer Science Division Argonne National Laboratory, Argonne
KWONG, MK
机构
:
[1]
Mathematics and Computer Science Division Argonne National Laboratory, Argonne
来源
:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
|
1991年
/ 156卷
/ 01期
关键词
:
D O I
:
10.1016/0022-247X(91)90396-H
中图分类号
:
O29 [应用数学];
学科分类号
:
070104 ;
摘要
:
We study the oscillation of first-order delay equations using a method that parallels the use of Riccati equations in the study of the oscillation of second-order ordinary differential equations without delay. We give an alternative proof of a comparison theorem first established by Kwong and Patula, obtain some asymptotic behaviors of nonoscillatory solutions, prove a new criterion that falls within a gap left open by established results, and confirm a conjecture raised by Hunt and Yorke. © 1991.
引用
收藏
页码:274 / 286
页数:13
相关论文
共 4 条
[1]
WHEN ALL SOLUTIONS OF X'=-SIGMA-QI(T)X(T-TI(T)) OSCILLATE
[J].
HUNT, BR
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV MARYLAND,DEPT MATH,COLLEGE PK,MD 20742
HUNT, BR
;
YORKE, JA
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV MARYLAND,DEPT MATH,COLLEGE PK,MD 20742
YORKE, JA
.
JOURNAL OF DIFFERENTIAL EQUATIONS,
1984,
53
(02)
:139
-145
[2]
COMPARISON-THEOREMS FOR 1ST ORDER LINEAR DELAY EQUATIONS
[J].
KWONG, MK
论文数:
0
引用数:
0
h-index:
0
机构:
SO ILLINOIS UNIV,DEPT MATH,CARBONDALE,IL 62901
SO ILLINOIS UNIV,DEPT MATH,CARBONDALE,IL 62901
KWONG, MK
;
PATULA, WT
论文数:
0
引用数:
0
h-index:
0
机构:
SO ILLINOIS UNIV,DEPT MATH,CARBONDALE,IL 62901
SO ILLINOIS UNIV,DEPT MATH,CARBONDALE,IL 62901
PATULA, WT
.
JOURNAL OF DIFFERENTIAL EQUATIONS,
1987,
70
(02)
:275
-292
[3]
OSCILLATIONS CAUSED BY SEVERAL RETARDED AND ADVANCED ARGUMENTS
[J].
LADAS, G
论文数:
0
引用数:
0
h-index:
0
LADAS, G
.
JOURNAL OF DIFFERENTIAL EQUATIONS,
1982,
44
(01)
:134
-152
[4]
Ladde G., 1987, CANAD MATH B
←
1
→
共 4 条
[1]
WHEN ALL SOLUTIONS OF X'=-SIGMA-QI(T)X(T-TI(T)) OSCILLATE
[J].
HUNT, BR
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV MARYLAND,DEPT MATH,COLLEGE PK,MD 20742
HUNT, BR
;
YORKE, JA
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV MARYLAND,DEPT MATH,COLLEGE PK,MD 20742
YORKE, JA
.
JOURNAL OF DIFFERENTIAL EQUATIONS,
1984,
53
(02)
:139
-145
[2]
COMPARISON-THEOREMS FOR 1ST ORDER LINEAR DELAY EQUATIONS
[J].
KWONG, MK
论文数:
0
引用数:
0
h-index:
0
机构:
SO ILLINOIS UNIV,DEPT MATH,CARBONDALE,IL 62901
SO ILLINOIS UNIV,DEPT MATH,CARBONDALE,IL 62901
KWONG, MK
;
PATULA, WT
论文数:
0
引用数:
0
h-index:
0
机构:
SO ILLINOIS UNIV,DEPT MATH,CARBONDALE,IL 62901
SO ILLINOIS UNIV,DEPT MATH,CARBONDALE,IL 62901
PATULA, WT
.
JOURNAL OF DIFFERENTIAL EQUATIONS,
1987,
70
(02)
:275
-292
[3]
OSCILLATIONS CAUSED BY SEVERAL RETARDED AND ADVANCED ARGUMENTS
[J].
LADAS, G
论文数:
0
引用数:
0
h-index:
0
LADAS, G
.
JOURNAL OF DIFFERENTIAL EQUATIONS,
1982,
44
(01)
:134
-152
[4]
Ladde G., 1987, CANAD MATH B
←
1
→