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

DOI:
https://doi.org/10.1090/S0002-9947-1980-0558188-X

MathSciNet review:
558188

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Abstract | References | Similar Articles | Additional Information

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 , where *p* is an arbitrary, positive real number.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1980-0558188-X

Article copyright:
© Copyright 1980
American Mathematical Society