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The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems. (English) Zbl 1019.34021
Summary: The authors develop the upper and lower solution method and the monotone iterative technique for a class of singular nonlinear second-order three-point boundary value problems. A maximum principle is established and some new existence results are obtained.

MSC:
34B16 Singular nonlinear boundary value problems for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
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