On approximate solution of periodic boundary-value problems with delay by the least-squares method in the critical case

DOI10.1007/s11072-012-0169-1zbMath1334.34146OpenAlexW2011670692MaRDI QIDQ275501

A. S. Chuiko, Sergeĭ Mikhaĭlovich Chuĭko

Publication date: 26 April 2016

Published in: Nonlinear Oscillations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11072-012-0169-1

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to functional-differential equations (34K13) Theoretical approximation of solutions to functional-differential equations (34K07) Boundary value problems for functional-differential equations (34K10)

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On the approximate solution of weakly nonlinear boundary-value problems by the Newton-Kantorovich method ⋮ Autonomous Noether boundary-value problems not solved with respect to the derivative ⋮ Weakly nonlinear matrix boundary-value problem in the case of parametric resonance ⋮ Solvability of Cauchy problem for a differential-algebraic system with concentrated delay ⋮ Differential-algebraic boundary-value problems with impulsive action ⋮ Least-squares method in the theory of nonlinear boundary-value problems unsolved with respect to the derivative ⋮ On the solution of a linear Noetherian boundary-value problem for a differential-algebraic system with concentrated delay by the method of least squares ⋮ The method of least squares in the theory of Noetherian differential-algebraic boundary-value problems ⋮ Periodic matrix boundary-value problems with concentrated delay ⋮ Reduction of the Fredholm boundary-value problem to the critical case of the first order

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