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

Boundary value problems

Mikls Ront¹  Andrs Ront³  Nataliya Shchobak⁴ 

[1] Department of Analysis, University of Miskolc, Miskolc-EgyetemváDepartment of Mathematics, Uzhgorod National University, Uzhgorod, Ukraine;Institute of Mathematics, Academy of Sciences of Czech Republic, Brno, Czech Republic;ros, Miskolc, Hungary

关键词: periodic solution;    two-point problem;    Lyapunov-Schmidt reduction;    determining equation;    parametrisation;    periodic successive approximations;    numerical-analytic method;    Cesari method;    interval halving;   

DOI  :  10.1186/s13661-014-0164-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We continue our study of constructive numerical-analytic schemes of investigation of boundary problems. We simplify and improve the recently suggested interval halving technique allowing one to essentially weaken the convergence conditions. MSC: 34B15.

【 授权许可】

CC BY