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Zbl 0832.45004
Šmarda, Zdeněk
On a singular initial value problem for a system of integro-differential equations depending on a parameter. (English)
[J] Fasc. Math. 25, 123-126 (1995). ISSN 0044-4413

The author studies existence and uniqueness of solutions of a system of singular integro-differential equations depending on a parameter $\mu$. By using the classical Banach contraction mapping principle, the author obtains the solution $y(\chi, \mu)$ of the initial value problem for the singular system, which fulfills $y(0^+, \mu) =0$ and which is continuous with respect to the variables $(\chi, \mu)\in J\times R$.
[Zeng Yuesheng (Huaihua)]

MSC 2000:: *45G15 Systems of nonlinear integral equations
45J05 Integro-ordinary differential equations

Keywords: system of singular integro-differential equations; Banach contraction mapping principle

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Zentralblatt MATH Berlin [Germany]