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Boundary value problems for one-parameter second-order differential equations. (English) Zbl 0804.34020
Sufficient conditions for the existence of solutions of a one-parameter differential equation $$x''= f(t,x,x',\lambda)$$ satisfying certain functional boundary conditions, or three or four points boundary conditions, are stated. In the first case the uniqueness of solution is discussed, too.

##### MSC:
 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations 34B15 Nonlinear boundary value problems for ordinary differential equations