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Zbl 1164.45005
Šmarda, Zdeněk
Implicit singular integrodifferential equations of Fredholm type. (English)
[J] Tatra Mt. Math. Publ. 38, 255-263 (2007). ISSN 1210-3195

The author studies singular initial value problem of implicit integrodifferential equations of Fredholm type. Main results of the paper are theorems about existence, uniqueness, continuous dependence, and asymptotic estimation of solutions. The Banach contraction principle is used. The paper generalizes some results obtained for explicit systems.
[Viera Ruužičková (Brno)]
MSC 2000:
*45J05 Integro-ordinary differential equations
45G05 Singular nonlinear integral equations
45M05 Asymptotic theory of integral equations

Keywords: integro-differential equations; Banach contraction principle

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