Differential equations with several deviating arguments: Sturmian comparison method in oscillation theory, II

被引:0
作者
Berezansky, Leonid [1 ]
Domshlak, Yury [1 ]
机构
[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel
关键词
mixed differential equations; oscillation; non-oscillation; Sturmian comparison method;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the oscillation of solutions to the differential equation (x) over dot(t) + a(1)(t)x[r(t)] + a(2)(t)x[p(t)] = 0, t >= t(0) which has a retarded argument r(t) and an advanced argument p(t). We obtain oscillation and non-oscillation conditions which are closed to be necessary. We provide examples to show that our results are best possible and compare them with known results.
引用
收藏
页数:18
相关论文
共 41 条
[1]  
[Anonymous], FUNCT DIFFER EQU
[2]  
[Anonymous], 1989, HIROSHIMA MATH J
[3]  
[Anonymous], 1996, APPL ANAL
[4]  
[Anonymous], J MATH PHYS SCI
[5]  
[Anonymous], DIFFERENTIAL INTEGRA
[6]   On the oscillation properties of first-order impulsive differential equations with a deviating argument [J].
Bainov, D ;
Domshlak, YI ;
Simeonov, PS .
ISRAEL JOURNAL OF MATHEMATICS, 1997, 98 (1) :167-187
[7]  
Bainov D., 1998, Oscillation Theory of Impulsive Differential Equations
[8]   Sturmian comparison theory for impulsive differential inequalities and equations [J].
Bainov, DD ;
Domshlak, YI ;
Simeonov, PS .
ARCHIV DER MATHEMATIK, 1996, 67 (01) :35-49
[9]  
Berezansky L., 2001, J DIFF EQNS, V2001, P1
[10]  
Domoshnitskii A., 1983, DIFF URAVN, V19, P1475