PERIODIC SOLUTIONS OF LINEAR DEGENERATE SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS OF THE SECOND ORDER

被引：0

作者：

Er'omenko, V. O. ^{[1
]}

Aliluiko, A. M. ^{[1
]}

机构：

[1] Ternopil Natl Econ Univ, Ternopol, Ukraine

来源：

NONLINEAR OSCILLATIONS | 2011年 / 13卷 / 03期

关键词：

D O I：

10.1007/s11072-011-0119-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose sufficient conditions for the existence of a periodic solution of a system of linear ordinary differential equations of the second order with a degenerate symmetric matrix in the coefficient of the second-order derivative in the case of an arbitrary periodic inhomogeneity.

引用

页码：361 / 371

页数：11

共 50 条

[1] On periodic solutions of linear degenerate second-order ordinary differential equations
V. A. Eremenko
[J]. Ukrainian Mathematical Journal, 1997, 49 (8) : 1279 - 1285
[2] QUASIPERIODIC SOLUTIONS OF DEGENERATE LINEAR SYSTEMS OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS
Er'omenko, V. O.
Aliluiko, A. M.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2010, 62 (06) : 894 - 906
[3] Quasiperiodic solutions of degenerate linear systems of second-order ordinary differential equations
V. O. Er’omenko
A. M. Aliluiko
[J]. Ukrainian Mathematical Journal, 2010, 62 : 894 - 906
[4] Positive periodic solutions of systems of second order ordinary differential equations
O'Regan, Donal
Wang, Haiyan
[J]. POSITIVITY, 2006, 10 (02) : 285 - 298
[5] Positive Periodic Solutions of Systems of Second Order Ordinary Differential Equations
Donal O'Regan
Haiyan Wang
[J]. Positivity, 2006, 10 : 285 - 298
[6] Periodic Solutions for Second-Order Ordinary Differential Equations with Linear Nonlinearity
Hu, Xiaohong
Wang, Dabin
Wang, Changyou
[J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
[7] Periodic solutions of ordinary linear differential equations of second order in the Colombeau algebra
Ligeza, J
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 1996, 4 (1-2) : 121 - 140
[8] NOTE ON PERIODIC SOLUTIONS OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS
SCHMITT, K
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1971, 21 (03) : 491 - &
[9] Periodic solutions of systems of two linear first-order ordinary differential equations with degenerate asymmetric matrix with derivatives
Eremenko V.A.
[J]. Ukrainian Mathematical Journal, 1998, 50 (3) : 400 - 407
[10] Linear ordinary differential equations of the second order with unbounded solutions
V. Ya. Yakubov
[J]. Differential Equations, 2011, 47

← 1 2 3 4 5 →