On Linear Perturbation of Non-Linear Differential Equations
- 1 January 1954
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 6, 561-571
- https://doi.org/10.4153/cjm-1954-061-8
Abstract
In the theory of the asymptotic solution or stability of ordinary differential equations most attention has been given to linear or nearly-linear cases. Investigations in this field, starting primarily with those of Kneser(7)on the equation y″+f(x)y= 0, have by now mostly been summed up in results on the vector-matrix system dy/dx =Ay +f(y,x), whereyandfdenoten-vectors of functions, andAann-by-nmatrix, frequently assumed constant.Keywords
This publication has 4 references indexed in Scilit:
- Sopra un caso di stabilità per l'equazioney′′+A(x)y=0Annali di Matematica Pura ed Applicata (1923 -), 1947
- Asymptotic Integrations of the Adiabatic OscillatorAmerican Journal of Mathematics, 1947
- Comment on the Preceding PaperAmerican Journal of Mathematics, 1946
- The Asymptotic Behavior of a System of Linear Differential EquationsAmerican Journal of Mathematics, 1946