Abstract
UDC 517.9 A nonlinear two-point boundary-value problem for a system of ordinary differential equations is studied by splitting the interval and introducing additional parameters. We construct a system of equations with respect to the parameters, which enable us to determine the initial approximation to the solution of the boundary-value problem. We establish necessary and sufficient conditions for the existence of an isolated solution of the analyzed problem. We consider a nonlinear two-point boundary-value problem for a system of ordinary differential equations dx dt Df.t;x/; t2a0;Tc; x2 R n ; (1)
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