On integral operators and nonlinear integral equations in the spaces of functions of bounded variation

DOI10.1016/j.jmaa.2016.06.014zbMath1355.45012OpenAlexW2436290170MaRDI QIDQ530321

Jacek Gulgowski, Piotr Kasprzak, Dariusz Bugajewski

Publication date: 29 July 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.06.014

zbMATH Keywords

weakly singular kernelLeray-Schauder degreevariation in the sense of Jordan\(\phi\)- and {\(\lambda\)}-variationlinear integral operator of Fredholm-typenonlinear Hammerstein integral equation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Degree theory for nonlinear operators (47H11) Integral operators (45P05)

Related Items (10)

Bernstein and Kantorovich polynomials diminish the \(\Lambda\)-variation ⋮ On some nonlinear operators in \(\Lambda BV\)-spaces ⋮ Compactness in the spaces of functions of bounded variation ⋮ Well-posedness of fractional Moreau's sweeping processes of Caputo type ⋮ On the characterization of compactness in the space of functions of bounded variation in the sense of Jordan ⋮ Characterization of compact linear integral operators in the space of functions of bounded variation ⋮ On integral bounded variation ⋮ On \(\Lambda_p BV\)-solutions of some nonlinear integral equations on the plane ⋮ Multiplication operators on the Banach algebra of bounded \(\Phi\)-variation functions on compact subsets of \(\mathbb{C}\) ⋮ Hardy’s inequalities, Hilbert inequalities and fractional integrals on function spaces of $q$-integral $p$-variation

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