Notes on interval halving procedure for periodic and two-point problems

DOI10.1186/s13661-014-0164-9zbMath1339.34028OpenAlexW2113856568WikidataQ59320635 ScholiaQ59320635MaRDI QIDQ282880

Nataliya Shchobak, Miklós Rontó, András Rontó

Publication date: 12 May 2016

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

Full work available at URL: https://doi.org/10.1186/s13661-014-0164-9

zbMATH Keywords

periodic solutiontwo-point problemLyapunov-Schmidt reductionnumerical-analytic methodCesari methoddetermining equationinterval halvingparametrisationperiodic successive approximations

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)

Related Items

Investigation of solutions of state-dependent multi-impulsive boundary value 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 constructive approach to boundary value problems with state-dependent impulses ⋮ On solutions of nonlinear boundary-value problems whose components vanish at certain points

Cites Work

• Numerical-analytic technique for investigation of solutions of some nonlinear equations with Dirichlet conditions
• Coincidence degree, and nonlinear differential equations
• Constructive analysis of periodic solutions with interval halving
• Remarks on a paper of L. Cesari on functional analysis and nonlinear differential equations
• A continuation approach to superlinear periodic boundary value problems
• Numerical-Analytic Methods in the Theory of Boundary-Value Problems
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