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Stability on the basis of Orthogonal Trajectories

Published online by Cambridge University Press:  20 November 2018

T. A. Burton
T. A. Burton*
Affiliation:
University of Alberta
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We consider a system of differential equations of second order given by

1

(' = d/dt) where P and Q have continuous first partial derivatives with respect to x and y in some open and simply connected set R containing O = (0, 0) which we assume to be the only singular point in R. In fact, let R be the whole plane; for if not then the following discussion can be modified.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 8 , Issue 5 , October 1965 , pp. 647 - 658
Copyright
Copyright © Canadian Mathematical Society 1965

References

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