STABILITY AND PERIODICITY IN COUPLED PINNEY EQUATIONS

被引：19

作者：

ATHORNE, C

机构：

[1] Department of Mathematics, University Gardens, Glasgow University, Glasgow

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1992年 / 100卷 / 01期

关键词：

D O I：

10.1016/0022-0396(92)90126-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the coupled Pinney equations with periodic coefficient constitute a class of nonlinear, coupled Hill's equations for which the problems of stability and periodicity of the solutions reduce to those for a pair of uncoupled, linear Hill's equations, one of which is of Ince type. © 1992.

引用

页码：82 / 94

页数：13

共 23 条

[1]

[Anonymous], 1940, P ROYAL SOC EDINBURG

[2]

[Anonymous], 1940, P ROY SOC EDINBURGH

[3] ON LINEARIZATION OF THE ERMAKOV SYSTEM [J].

ATHORNE, C ;

ROGERS, C ;

RAMGULAM, U ;

OSBALDESTIN, A .

PHYSICS LETTERS A, 1990, 143 (4-5) :207-212

[4]

ATHORNE C, 1990, J PHYS A, V23, P137

[5]

BERKOVICH LM, 1972, DIFF EQUAT, V8, P1602

[6]

ERMAKOV VP, 1880, U IZV KIEV, V20, P1, DOI [DOI 10.2298/AADM0802123E, 10.2298/AADM0802123E]

[7]

Forsyth AR, 1888, PHILOS T ROY SOC LON, V179, P377

[8]

Ince E.L., 1956, ORDINARY DIFFERENTIA

[9]

INCE EL, 1923, P LOND MATH SOC, V23, P56

[10]

INCE EL, 1924, P LOND MATH SOC, V25, P53

← 1 2 3 →