On summable solutions to two-dimensional Volterra integral equations with monotone nonlinearity on a quarter of the plane

DOI10.3103/S1068362322050053OpenAlexW4307372215MaRDI QIDQ2104317

A. S. Petrosyan, Khachatur A. Khachatryan

Publication date: 7 December 2022

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362322050053

zbMATH Keywords

monotonicityiterationconvexitynonlinearityVolterra equation

Mathematics Subject Classification ID

Volterra integral equations (45D05) Positive solutions of integral equations (45M20)

Cites Work

• One-parameter family of integrable solutions of a system of nonlinear integral equations of the Hammerstein-Volterra type in the supercritical case
• Numerical solution of nonlinear Volterra integral equations with fractionally-exponential kernels of rheological models of viscoelastic continuum
• Nonlinear dynamics equation in \(p\)-adic string theory
• On the solubility of certain classes of non-linear integral equations in $ p$-adic string theory
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