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On Linear Perturbation of Non-Linear Differential Equations

Published online by Cambridge University Press:  20 November 2018

F. V. Atkinson
F. V. Atkinson*
Affiliation:
University College, Ibadan, Nigeria
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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), where y and f denote n-vectors of functions, and A an n-by-n matrix, frequently assumed constant.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 6 , 1954 , pp. 561 - 571
Copyright
Copyright © Canadian Mathematical Society 1954

References

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