TY - JOUR
AU - A. M. Samoilenko
AU - S. M. Chuiko
AU - O. V. Nesmelova
PY - 2020/08/18
Y2 - 2020/09/25
TI - Nonlinear boundary-value problems unsolved with respect to the derivative
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 72
IS - 8
SE - Research articles
DO - 10.37863/umzh.v72i8.5986
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/5986
AB - UDC 517.9We found constructive necessary and sufficient solvability conditions as well as a scheme of construction of solutions for a nonlinear boundary-value problem that is not solved with respect to the derivative. We also suggested concurrent iterative schemes for finding approximations of solutions of this problem. As an example of application of the constructed iterative scheme, we found approximations of solutions of periodic boundary-value problems for a Rayleigh-type equation not solved with respect to the derivative, in particular, in the case of a periodic problem for the equation that determines the satellite motion in an elliptical orbit.
ER -