Explicit solutions of linear Stieltjes integral equations

DOI10.1007/S00025-022-01816-ZOpenAlexW4313422628MaRDI QIDQ2110271

Antonín Slavík

Publication date: 21 December 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-022-01816-z

zbMATH Keywords

existence and uniqueness of solutionsKurzweil-Stieltjes integralexplicit solution formulaStieltjes integral equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Denjoy and Perron integrals, other special integrals (26A39)

Cites Work

• Unnamed Item
• Theory and applications of first-order systems of Stieltjes differential equations
• Bounded convergence theorem for abstract Kurzweil-Stieltjes integral
• Generalized elementary functions
• A nonlinear Volterra-Stieltjes integral equation and a Gronwall inequality in one dimension
• Duality for Stieltjes differential and integral equations
• On first and second order linear Stieltjes differential equations
• Regulated functions and the Perron-Stieltjes integral
• Kurzweil–Stieltjes Integral
• Notes on the linear equation with Stieltjes derivatives

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