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Asymptotic behaviour of solutions of some general nonlinear differential equations and integral inequalities

Published online by Cambridge University Press:  14 November 2011

Paul R. Beesack
Paul R. Beesack
Affiliation:
Carleton University, Ottawa, Ontario, CanadaK1S 5B6
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Synopsis

We deal with the asymptotic behaviour, as t→∞, of complex-valued solutions of nonlinear differential equations

Upper bounds for ∣x(l)(t)∣, 0≦j≦n, are obtained by obtaining upper bounds for solutions u(t) of Bihari-type integral inequalities of the form

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 98 , Issue 1-2 , 1984 , pp. 49 - 67
Copyright
Copyright © Royal Society of Edinburgh 1984

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