The freezing method for Volterra integral equations in a Banach space

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The Freezing Method for Volterra Integral Equations in a Banach Space

The ”freezing” method for ordinary differential equations is extended to the Volterra integral equations in a Banach space of the type x(t)− ∫ t 0 K(t, t− s)x(s)ds = f(t) (t ≥ 0), where K(t, s) is an operator valued function ”slowly” varying in the first argument. Besides, sharp explicit stability conditions are derived. Subject Classification: 45M10, 45N05

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ژورنال

عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations

سال: 2008

ISSN: 1417-3875

DOI: 10.14232/ejqtde.2008.1.17