Properties of solutions for nonlinear Volterra integral equations

M. R. Arias; R. Benítez

doi:10.3934/proc.2003.2003.42

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2003, Volume 2003: 42-47. Doi: 10.3934/proc.2003.2003.42 open access

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Properties of solutions for nonlinear Volterra integral equations

M. R. Arias^1, and
R. Benítez^2,

1.
Dpto. Matemáticas. Universidad de Extremadura, Av. Elvas s/n, 06071, Badajoz
2.
Dpto. Matemáticas. Universidad de Extremadura, Av. Virgen del Puerto, 2, 10600, Plasencia (Cáceres)

Received: August 31, 2002

Revised: February 28, 2003

Published: March 2003

Abstract Related Papers Cited by

Abstract

Some properties of non-locally bounded solutions for Abel integral equations are given. The case in which there exists two non-trivial solutions for such equations is also studied. Besides, some known results about existence, uniqueness and attractiveness of solutions for some Volterra equations are improved.

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Mathematics Subject Classification: Primary: 45Gxx; Secondary: 45D05, 45E10, 47G10.

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