TY - JOUR
AU - D. S. Dzhumabaev
AU - S. M. Temesheva
PY - 2018/03/25
Y2 - 2020/12/05
TI - Criteria for the existence of an isolated solution
of a nonlinear boundary-value problem
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 70
IS - 3
SE - Research articles
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/1561
AB - A nonlinear two-point boundary-value problem for an ordinary differential equation is studied by the method of parametrization.We construct systems of nonlinear algebraic equations that enable us to find the initial approximation to the solutionto the posed problem. In terms of the properties of constructed systems,we establish necessary and sufficient conditions forthe existence of an isolated solution to the boundary-value problem under consideration.
ER -