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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

A nonlinear Volterra equation with rapidly decaying solutions


Author: Olof J. Staffans
Journal: Trans. Amer. Math. Soc. 258 (1980), 523-530
MSC: Primary 45J05; Secondary 45D05
MathSciNet review: 558188
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Abstract: We study the asymptotic behavior of the solutions of a nonlinear integrodifferential Volterra equation with a convolution kernel. More specifically, we give conditions which imply that a solution x satisfies $ x(t)\, = \,O({t^{ - p}})\,(t \to \infty )$, where p is an arbitrary, positive real number.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1980-0558188-X
PII: S 0002-9947(1980)0558188-X
Article copyright: © Copyright 1980 American Mathematical Society