On the integral equation \(f(x)-(c/L(x))\int_ 0^{L(x)} f(y) dy=g(x)\) where \(L(x)=\min\{ax,1\}\), \(a>1\)

DOI10.1216/jiea/1181075957zbMath0881.45001OpenAlexW1990514217MaRDI QIDQ1353463

Juhani Pitkäranta, Jyrki Piila

Publication date: 24 February 1998

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

Full work available at URL: https://doi.org/10.1216/jiea/1181075957

zbMATH Keywords

Mellin transformregularityBanach fixed point theoremsingular expansion

Mathematics Subject Classification ID

Linear integral equations (45A05)

Cites Work

• Unnamed Item
• Some properties of the functional equation \(\phi (x)=f(x)+\int _{O}^{\lambda x}g(x,y,\phi (y))dy\)
• On corner irregularities that arise in hyperbolic shell membrane theory
• CHARACTERIZATION OF THE MEMBRANE THEORY OF A CLAMPED SHELL: THE HYPERBOLIC CASE

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