ON A SUBCLASS OF INCE EQUATIONS

被引：4

作者：

ATHORNE, C

机构：

[1] Dept. of Math., Glasgow Univ.

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 04期

关键词：

D O I：

10.1088/0305-4470/23/4/002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The author presents a two-parameter family of Ince equations for which the problem of the periodicity of the general integral is reducible entirely to the solution of a quadratic equation.

引用

页码：L137 / L139

页数：3

共 11 条

[1]

Arscott F. M., 1964, PERIODIC DIFFERENTIA

[2]

ATHORNE C, IN PRESS PHYS LETT A

[3]

ATHORNE C, 1989, STABILITY PERIODICIT

[4] AN APPLICATION OF RAY-REID INVARIANTS [J].

LUTZKY, M .

JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (06) :1370-1371

[5]

Magnus W., 1979, HILLS EQUATION

[6] THE NONLINEAR DIFFERENTIAL EQUATION Y''+P(X)Y+CY-3=0 [J].

PINNEY, E .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1950, 1 (05) :681-681

[7] NON-LINEAR SUPERPOSITION LAW FOR GENERALIZED ERMAKOV SYSTEMS [J].

RAY, JR .

PHYSICS LETTERS A, 1980, 78 (01) :4-6

[8] MORE EXACT INVARIANTS FOR THE TIME-DEPENDENT HARMONIC-OSCILLATOR [J].

RAY, JR ;

REID, JL .

PHYSICS LETTERS A, 1979, 71 (04) :317-318

[9] ERMAKOV SYSTEMS, NON-LINEAR SUPERPOSITION, AND SOLUTIONS OF NON-LINEAR EQUATIONS OF MOTION [J].

REID, JL ;

RAY, JR .

JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (07) :1583-1587

[10]

ROGERS C, 1989, RES REPORT U TECHNOL

← 1 2 →