Method of implicit functions in the solution of multiparameter nonlinear spectral problems

DOI10.1007/S10958-023-06398-XOpenAlexW4367845787MaRDI QIDQ6044592

P. O. Savenko

Publication date: 22 May 2023

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06398-x

zbMATH Keywords

numerical methodtwo-point boundary-value problemgeneralized Cauchy problemHammerstein-type equationmultiparameter nonlinear spectral problem

Mathematics Subject Classification ID

Basic linear algebra (15Axx) General theory for ordinary differential equations (34Axx) Equations and inequalities involving nonlinear operators (47Jxx)

Cites Work

• Multiparameter nonlocal spectral problems for operator-differential equations
• Implicit function method in solving a two-dimensional nonlinear spectral problem
• Synthesis of Radiating Systems with Flat Aperture According to a Given Power Directivity Pattern. ІІ. Finding Solutions at the Bifurcation Points
• Implicit-function methods for the solution of two-parameter linear spectral problems
• The convergence rate of approximate methods in the eigenvalue problem when the parameter appears non-linearly
• The rate of convergence of a method of mechanical quadratures in an eigenvalue problem
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