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 operators, Carpathian J. Math. 24 (2008) no. 3, 370-377
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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