Oscillation of second-order linear delay differential equations

被引：4

作者：

Ohriska, Jan ^{[1
]}

机构：

[1] Safarik Univ, Kosice 04001, Slovakia

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2008年 / 6卷 / 03期

关键词：

oscillation theory; linear functional-differential equations; generalized derivatives;

D O I：

10.2478/s11533-008-0030-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to derive sufficient conditions for the linear delay differential equation (r(t)y'(t))'+ p(t)y(tau(t)) = 0 to be oscillatory by using a generalization of the Lagrange mean-value theorem, the Riccati differential inequality and the Sturm comparison theorem.

引用

页码：439 / 452

页数：14

共 9 条

[1] OSCILLATION THEORY OF ORDINARY LINEAR DIFFERENTIAL EQUATIONS [J].

BARRETT, JH .

ADVANCES IN MATHEMATICS, 1969, 3 (04) :415-&

[2]

DZURINA J, 1997, ARCH MATH-BRNO, V33, P309

[3] OSCILLATION CRITERIA FOR SECOND-ORDER NONLINEAR DELAY EQUATIONS [J].

ERBE, L .

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1973, 16 (01) :49-56

[4]

Hartman P, 1964, ORDINARY DIFFERENTIA

[5]

Ohriska J, 2005, CZECH MATH J, V55, P349

[6]

OHRISKA J, 1989, CZECH MATH J, V39, P16

[7]

OHRISKA J, 1989, CZECH MATH J, V39, P24

[8]

OHRISKA J, 1984, CZECH MATH J, V34, P107

[9]

Willett D., 1969, Ann. Polon. Math., V21, P175

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