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On certain three-point regular boundary value problems for nonlinear second-order differential equations depending on the parameter. (English) Zbl 0845.34031

Summary: Applying a method based on a surjectivity result in \(\mathbb{R}^n\), we investigate the existence and uniqueness of solutions of the differential equation \(x''= f(t, x, x', \lambda)\) depending on the parameter \(\lambda\) satisfying for a suitable value of \(\lambda\) the three-point boundary conditions \(x'(0)= A\), \(x(1)= B\), \(x(2)= C\).

MSC:

34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
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References:

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