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One-parameter family of integrable solutions of a system of nonlinear integral equations of the Hammerstein-Volterra type in the supercritical case

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Publication:730395
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DOI10.1134/S0012266116080097zbMath1361.45004MaRDI QIDQ730395

M. F. Broyan, Ts. E. Terdzhyan, Khachatur A. Khachatryan

Publication date: 27 December 2016

Published in: Differential Equations (Search for Journal in Brave)


zbMATH Keywords

solvabilitybounded solutionsdependence on parametersystem of nonlinear Hammerstein-Volterra integral equations


Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Systems of nonlinear integral equations (45G15) Volterra integral equations (45D05)


Related Items

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



Cites Work

  • On the solution of nonlinear Volterra convolution equation with power nonlinearity
  • Solvability of a Volterra type integral equation on the half-line
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