The nonexistence of maximum solutions of Volterra integral equations.
Authors:
H. E. Gollwitzer and R. A. Hager
Journal:
Proc. Amer. Math. Soc. 26 (1970), 301-304
MSC:
Primary 45.13
DOI:
https://doi.org/10.1090/S0002-9939-1970-0285871-5
MathSciNet review:
0285871
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Abstract | References | Similar Articles | Additional Information
Abstract: It has been claimed for some time that the scalar Volterra integral equation of the second kind has a maximum solution under rather mild hypotheses. We present and discuss a counterexample to this claim.
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Additional Information
Keywords:
Volterra integral equation,
second kind,
maximum solution,
nonexistence,
counterexample
Article copyright:
© Copyright 1970
American Mathematical Society