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 some unknown points. The technique can be applied to nonlinearities involving the signs of absolute value and positive
or negative parts of functions under various types of boundary conditions.
Citation Example:Puza B., Ronto A. M., Ronto M. I., Shchobak N. On solutions of nonlinear boundary-value problems the
components of which vanish at certain points // Ukr. Mat. Zh. - 2018. - 70, № 1. - pp. 94-114.