Generalized multitime expansions for equations with slowly varying coefficients
1984 ◽
Vol 7
(1)
◽
pp. 151-158
Keyword(s):
The successive terms in a uniformly valid multitime expansion of the solutions of constant coefficient differential equations containing a small parameterϵmay be obtained without resorting to secularity conditions if the time scalesti=ϵit(i=0,1,…)are used. Similar results have been achieved in some cases for equations with variable coefficients by using nonlinear time scales generated from the equations themselves. This paper extends the latter approach to the general second order ordinary differential equation with slowly varying coefficients and examines the restrictions imposed by the method.
1982 ◽
Vol 37
(8)
◽
pp. 830-839
◽
2015 ◽
Vol 08
(04)
◽
pp. 1550076
◽
2021 ◽
Vol 21
(4)
◽
pp. 37-44
2009 ◽
Vol 49
(12)
◽
pp. 2034-2046
2021 ◽
Vol 102
(2)
◽
pp. 16-24
2004 ◽
Vol 48
(1/2)
◽
pp. 151-164
◽