Abstract

The aim of this paper is to study a differential equation with abstract Volterra operator. Existence and uniqueness, inequalities of Caplygin type and data dependence (monotony, continuity) results for the solution of the Cauchy problem are obtained using weakly Picard operators theory.

Authors

Diana Otrocol
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

Keywords

Data dependence, weakly Picard operators, abstract Volterra operators.

Paper coordinates

D. Otrocol, Abstract Volterra operatorsCarpathian J. Math. 24 (2008) no. 3, 370-377

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About this paper

Journal

Carpathian Journal of Mathematics

Publisher Name

North University Center at Baia Mare, Technical University of Cluj-Napoca (NUCBM), Romania

DOI
Print ISSN

1584 – 2851

Online ISSN

1843 – 4401

google scholar link

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2008

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