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Existence and uniqueness of solutions for nonlinear Volterra equations

Published online by Cambridge University Press:  16 October 2000

M. R. ARIAS
M. R. ARIAS
Affiliation:
Dpto. de Matemáticas, Universidad de Extremadura Avda. de Elvas s/n. 06071 Badajoz (Spain); e-mail: [email protected]
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Abstract

The purpose of this paper to characterize the existence of nontrivial solutions of nonlinear Volterra integral equations and to prove the uniqueness of this kind of solutions. To this end, different properties of the solutions are presented, in particular some referred to their attracting character.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 129 , Issue 2 , September 2000 , pp. 361 - 370
Copyright
2000 Cambridge Philosophical Society

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