On Oscillations of Solutions of Third-Order Dynamic Equation

被引：6

作者：

Hovhannisyan, Gro ^{[1
]}

机构：

[1] Kent State Univ Stark, Dept Math, Canton, OH 44720 USA

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

关键词：

LINEAR-DIFFERENTIAL EQUATIONS; BEHAVIOR;

D O I：

10.1155/2012/715981

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are proving the new oscillation theorems for the solutions of third-order linear nonautonomous differential equation with complex coefficients. In the case of real coefficients we derive the oscillation criterion that is invariant with respect to the adjoint transformation. Our main tool is a new version of Levinson's asymptotic theorem.

引用

页数：15

共 9 条

[1] [Anonymous], 1961, Pac. J. Math, DOI DOI 10.2140/PJM.1961.11.919
[2] OSCILLATION THEORY OF ORDINARY LINEAR DIFFERENTIAL EQUATIONS
BARRETT, JH
[J]. ADVANCES IN MATHEMATICS, 1969, 3 (04) : 415 - &
[3] EASTHAM MSP, 1989, ASYMPTOTIC SOLUTION, V4
[4] Hille and Nehari type criteria for third-order dynamic equations
Erbe, L.
Peterson, A.
Saker, S. H.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 329 (01) : 112 - 131
[5] EXISTENCE OF OSCILLATORY SOLUTIONS AND ASYMPTOTIC-BEHAVIOR FOR A CLASS OF 3RD-ORDER LINEAR-DIFFERENTIAL EQUATIONS
ERBE, L
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1976, 64 (02) : 369 - 385
[6] BEHAVIOR OF SOLUTIONS OF DIFFERENTIAL EQUATION Y'''+P(X)Y'+Q(X)Y=0
LAZER, AC
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1966, 17 (03) : 435 - &
[7] Leighton W., 1952, J. Lond. Math. Soc., Vs1-27, P37, DOI [10.1112/jlms/s1-27.1.37, DOI 10.1112/JLMS/S1-27.1.37]
[8] Decomposition of homogenous differential linear expression that are a product of symbolic factors and relative application to the study of linear differential equations.
Mammana, G
[J]. MATHEMATISCHE ZEITSCHRIFT, 1931, 33 : 186 - 231
[9] Swanson C.A, 1968, Comparison and Oscillation Theory of Linear Differential Equations

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