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A cantilever equation with nonlinear boundary conditions. (English) Zbl 1201.34041
Summary: We prove new results on the existence of positive solutions for some cantilever equation subject to nonlocal and nonlinear boundary conditions. Our main ingredient is the classical fixed point index.
MSC:
34B18Positive solutions of nonlinear boundary value problems for ODE
34B10Nonlocal and multipoint boundary value problems for ODE
47H10Fixed point theorems for nonlinear operators on topological linear spaces
47H30Particular nonlinear operators