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On a vector multipoint boundary value problem. (English) Zbl 0657.34019
Existence and uniqueness of the solution to a multipoint boundary value problem for nth-order nonlinear differential systems is proved by using the estimates for derivatives of the scalar functions and by introducing admissible system of functions with respect to the Green function the theory of positive linear operators gives that the obtained result is the best in a certain sense.

MSC:
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
34B27 Green’s functions for ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
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