On the uniqueness of the solution to the Wiener-Hopf equation with probability kernel

DOI10.33048/semi.2021.18.086zbMath1485.45004OpenAlexW3212671875MaRDI QIDQ2058310

Mikhail S. Sgibnev

Publication date: 8 December 2021

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2021.18.086

zbMATH Keywords

integral equationprobability distributionWiener-Hopf equationinhomogeneous equationpositive mean

Mathematics Subject Classification ID

Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Renewal theory (60K05) Random integral equations (45R05)

Related Items (1)

Generalized Wiener-Hopf equations with directly Riemann integrable inhomogeneous term

Cites Work

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• The uniqueness of a solution to the renewal type system of integral equations on the line
• Equivalence of two conditions on singular components
• The Wiener-Hopf equation with probability kernel of oscillating type
• The discrete Wiener-Hopf equation with probability kernel of oscillating type
• Homogeneous conservative Wiener-Hopf equation
• On Absolutely Continuous Components and Renewal Theory

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