A Volterra equation with square integrable solution

Author:
Olof J. Staffans

Journal:
Proc. Amer. Math. Soc. **78** (1980), 213-217

MSC:
Primary 45D05; Secondary 45G10, 45J05

DOI:
https://doi.org/10.1090/S0002-9939-1980-0550496-7

MathSciNet review:
550496

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Abstract | References | Similar Articles | Additional Information

Abstract: We study the asymptotic behavior of the solutions of the nonlinear Volterra integrodifferential equation

*f*are given real functions, and

*x*is the unknown solution. In particular, we give sufficient conditions which imply that

*x*and

*x*' are square integrable.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1980-0550496-7

Article copyright:
© Copyright 1980
American Mathematical Society