OSCILLATION AND NONOSCILLATION OF SOLUTIONS TO EVEN ORDER SELF-ADJOINT DIFFERENTIAL EQUATIONS

被引：0

作者：

Dosly, Ondrej ^{[1
]}

Fisnarova, Simona ^{[1
]}

机构：

[1] Masaryk Univ, Dept Math, CZ-66295 Brno, Czech Republic

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2003年

关键词：

Self-adjoint differential equation; variational method; oscillation and nonoscillation criteria; conditional oscillation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish oscillation and nonoscilation criteria for the linear differential equation [GRAPHICS] where [GRAPHICS] and q is a real valued continuous function. It is proved, using these criteria, that the equation [GRAPHICS] is nonoscillatory if and only if [GRAPHICS]

引用

页数：21

共 50 条

[1] Oscillation and nonoscillation of higher order self-adjoint differential equations
Dosly, O
Osicka, J
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2002, 52 (04) : 833 - 849
[2] Oscillation and Nonoscillation of Higher Order Self-Adjoint Differential Equations
Ondřej Došlý
Jan Osička
Czechoslovak Mathematical Journal, 2002, 52 : 833 - 849
[3] OSCILLATION AND NONOSCILLATION CRITERIA FOR SOME SELF-ADJOINT EVEN ORDER LINEAR-DIFFERENTIAL OPERATORS
LEWIS, RT
PACIFIC JOURNAL OF MATHEMATICS, 1974, 51 (01) : 221 - 234
[4] OSCILLATION OF EVEN ORDER SELF-ADJOINT DIFFERENTIAL OPERATORS
LEWIS, RT
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (03): : A327 - A327
[5] ON OSCILLATION OF SOLUTIONS OF SECOND ORDER SELF-ADJOINT MATRIX DIFFERENTIAL EQUATIONS
ETGEN, GJ
JOURNAL OF DIFFERENTIAL EQUATIONS, 1969, 6 (01) : 187 - &
[6] BEHAVIOR OF SOLUTIONS OF ORDINARY, SELF-ADJOINT DIFFERENTIAL EQUATIONS OF ARBITRARY EVEN ORDER
HUNT, RW
PACIFIC JOURNAL OF MATHEMATICS, 1962, 12 (03) : 945 - &
[7] Oscillation of solutions of second-order nonlinear self-adjoint differential equations
Sugie, J
Yamaoka, N
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 291 (02) : 387 - 405
[8] OSCILLATION AND NONOSCILLATION OF EVEN ORDER DIFFERENTIAL EQUATIONS
GRIMMER, RC
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (01): : A119 - A119
[9] PICONE IDENTITY FOR SELF-ADJOINT DIFFERENTIAL EQUATIONS OF EVEN ORDER
EASTHAM, MSP
MATHEMATIKA, 1973, 20 (40) : 197 - 200
[10] OSCILLATION AND NONOSCILLATION FOR SYSTEMS OF SELF-ADJOINT 2ND-ORDER DIFFERENCE-EQUATIONS
CHEN, S
ERBE, LH
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1989, 20 (04) : 939 - 949

← 1 2 3 4 5 →