On solutions of nonlinear boundary-value problems whose components vanish at certain points

0492746 - MÚ 2019 RIV US eng J - Journal Article
Půža, B. - Rontó, András - Rontó, M. - Shchobak, N.
On solutions of nonlinear boundary-value problems whose components vanish at certain points.
Ukrainian Mathematical Journal. Roč. 70, č. 1 (2018), s. 101-123. ISSN 0041-5995. E-ISSN 1573-9376
Institutional support: RVO:67985840
Keywords : Nonlinear boundary-value problems
OECD category: Applied mathematics
Impact factor: 0.345, year: 2018
https://link.springer.com/article/10.1007%2Fs11253-018-1490-3

We show how an appropriate parametrization technique and successive approximations can help to investigate nonlinear boundary-value problems for systems of differential equations under the condition that the components of solutions vanish at certain unknown points. The technique can be applied to nonlinearities involving the signs of the absolute value and positive or negative parts of functions under boundary conditions of various types.
Permanent Link: http://hdl.handle.net/11104/0286125