On bounded solutions of a class of nonlinear integral equations in the plane and the Urysohn equation in a quadrant of the plane

DOI10.1007/s11253-021-01961-8zbMath1479.45002OpenAlexW4200086802MaRDI QIDQ2058593

A. S. Petrosyan, Khachatur A. Khachatryan

Publication date: 9 December 2021

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-021-01961-8

zbMATH Keywords

two-dimensional integral equationsmonotonic nonlinearity

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10)

Related Items

On the solubility of a class of two-dimensional integral equations on a quarter plane with monotone nonlinearity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Thresholds and travelling waves for the geographical spread of infection
• Nonlinear equations for \(p\)-adic open, closed, and open-closed strings
• The Boltzmann equation and its applications
• Solvability of some classes of nonlinear singular boundary value problems in the theory of \(p\)-adic open-closed strings
• Nonlinear dynamics equation in \(p\)-adic string theory
• On the Solvability of One Class of Two-Dimensional Urysohn Integral Equations
• On the solvability of a boundary value problem in $p$-adic string theory
• On the solvability of a class of nonlinear integral equations in the problem of a spread of an epidemic
• Solvability of some nonlinear boundary value problems for singular integral equations of convolution type
• Existence and uniqueness of solution of a certain boundary-value problem for a convolution integral equation with monotone non-linearity
• On solvability of class of nonlinear integral equations in $p$-adic string theory