On a class of integral equations in the space of continuous functions

DOI10.1134/S0012266106090047zbMath1136.45002MaRDI QIDQ2480428

A. S. Kalitvin

Publication date: 31 March 2008

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Banach spacesinvertibilityspace of continuous functionsFredholm propertiesindex zerolinear operators containing partial integralsparametric Fredholm integral equationssolvability equations with partial integrals

Mathematics Subject Classification ID

Fredholm integral equations (45B05)

Related Items (6)

The weighted Cauchy-type problem and Cauchy problem for the linear Barbashin integro-differential equations with fractional partial derivative ⋮ Systems of Volterra integral equations with many-dimensional partial integrals ⋮ Linear operators and equations with partial integrals ⋮ Using 2D and 1D block-pulse functions simultaneously for solving the Barbashin integro-differential equations ⋮ Integral equations with multidimensional partial integrals ⋮ Fredholm property of linear equations with partial integrals in the space of integrable functions

Cites Work

• Partial integral operators on \(C([a,b\times[c,d])\)]
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