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Oscillation and nonoscillation in neutral equations with integrable coefficients
被引:5
|作者:
Yu, JS
[1
]
Chen, MP
Zhang, H
机构:
[1] Hunan Univ, Dept Appl Math, Changsha 410082, Hunan, Peoples R China
[2] Acad Sinica, Inst Math, Taipei 11529, Taiwan
关键词:
neutral equation;
oscillation;
nonoscillation;
integrable coefficient;
D O I:
10.1016/S0898-1221(98)00019-4
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
We obtain, respectively, new sufficient conditions for the oscillation of all solutions and the existence of a positive solution of the neutral delay differential equation d/dt [x(t) - P(t)x(t - tau)] + Q(t)x(t - delta) = 0, t greater than or equal to t(0), where tau, delta is an element of (0, infinity), P,Q is an element of C([t(0), infinity),R+), and integral(t0)(infinity) Q(s) ds < infinity.
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页码:65 / 71
页数:7
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