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<p>We consider the generalization of a nonlinear Urysohn-type integral equation based on the introduction of two real numerical parameters in the integrand. This enables us to find the set of points of possible branching (bifurcation) of the solutions in the form of spectral lines in a given domain as a result of the solution of a nonlinear two-parameter spectral problem.</p>

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Generalization of the Nonlinear Urysohn Integral Equation by Introducing Additional Numerical Parameters

  • 期刊论文

  • 发表日期：

    2025年1月1日

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  • P. O. Savenko

摘要

We consider the generalization of a nonlinear Urysohn-type integral equation based on the introduction of two real numerical parameters in the integrand. This enables us to find the set of points of possible branching (bifurcation) of the solutions in the form of spectral lines in a given domain as a result of the solution of a nonlinear two-parameter spectral problem.