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<p>We continue our investigation of the problem of nonuniqueness of solutions to a nonlinear Urysohn-type integral equation by introducing three numerical parameters in the integrand. The application of the methods intended for solving two- and three parameter nonlinear spectral problems makes it possible to find, in a given region, the set of points of possible branching (bifurcation) of solutions in the form of spectral lines or surfaces. A numerical example is presented.</p>

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On the Nonuniqueness of Solutions of a Nonlinear Urysohn-Type Integral Equation with Three Numerical Parameters

  • 期刊论文

  • 发表日期：

    2026年5月19日

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  • P. O. Savenko

摘要

We continue our investigation of the problem of nonuniqueness of solutions to a nonlinear Urysohn-type integral equation by introducing three numerical parameters in the integrand. The application of the methods intended for solving two- and three parameter nonlinear spectral problems makes it possible to find, in a given region, the set of points of possible branching (bifurcation) of solutions in the form of spectral lines or surfaces. A numerical example is presented.