Constructive analysis of periodic solutions with interval halving

DOI10.1186/1687-2770-2013-57zbMath1288.34011OpenAlexW2139053389WikidataQ59293249 ScholiaQ59293249MaRDI QIDQ2444607

Miklós Rontó, Nataliya Shchobak, András Rontó

Publication date: 10 April 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-57

zbMATH Keywords

existenceperiodic solutionnumerical-analytic methodcontinuationperiodic boundary value probleminterval halvingparametrisationperiodic successive approximationsMawhin's theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Theoretical approximation of solutions to ordinary differential equations (34A45) Applications of operator theory to differential and integral equations (47N20)

Related Items (9)

Investigation of solutions of state-dependent multi-impulsive boundary value problems ⋮ Notes on interval halving procedure for periodic and two-point problems ⋮ On periodic solutions of the systems of linear differential equations with deviations of the argument ⋮ Successive approximations and interval halving for fractional BVPs with integral boundary conditions ⋮ On the jump control problem for boundary-value problems with state-dependent impulses ⋮ A new approach to non-local boundary value problems for ordinary differential systems ⋮ A constructive approach to boundary value problems with state-dependent impulses ⋮ On solutions of nonlinear boundary-value problems whose components vanish at certain points ⋮ Method for constructing periodic solutions of a controlled dynamic system with a cylindrical phase space

Cites Work

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• On the parametrization of three-point nonlinear boundary-value problems

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