On linear integro-differential equations of Barbashin type in spaces of continuous and measurable functions

DOI10.1216/JIE-1988-1-2-227zbMath0651.47040OpenAlexW1998581754MaRDI QIDQ1106454

Jürgen Appell, O. W. Diallo, Peter P. Zabreĭko

Publication date: 1988

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jie-1988-1-2-227

zbMATH Keywords

Green's functionCauchy functionrepresentation formulaskernel functionsstability resultsaveraging procedures of Bogolyubov-Krylov typelinear integro-differential equatons

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Integro-ordinary differential equations (45J05) Linear differential equations in abstract spaces (34G10) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (5)

Boundary value problems for integro-differential equations of Barbashin type ⋮ Boundary value problems for integrodifferential equations of Barbashin type ⋮ A Continuation Method in Bayesian Inference ⋮ Some results of Watson and Plancherel‐type integral transforms related to the Hartley, Fourier convolutions and applications ⋮ On monotonic integrable solutions for quadratic functional integral equations

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