| Abstract: | We consider the problem of finding conditions of solvability and algorithms for construction of solutions of weakly nonlinear
boundary-value problems for operator equations (with the Noetherian linear part) with pulse influence at fixed times. The
method of investigation is based on passing by methods of the Lyapunov—Schmidt type from a pulse boundary-value problem to
an equivalent operator system that can be solved by iteration procedures based on the fixed-point principle.
Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49,
No. 2, pp. 272–288, February, 1997. |
