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Double positive solutions of fourth-order nonlinear boundary value problems. (English) Zbl 1037.34017
The authors consider nonlinear fourth-order differential equations $$u^{(4)}(t)=a(t)f(u(t)),$$ $$t\in (0,1)$$, subject to several boundary conditions. Under suitable growth conditions on the nonlinearity f and using a generalized Leggett-Williams fixed-point theorem, they show that the given problem has at least two positive solutions.

MSC:
 34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations 34B15 Nonlinear boundary value problems for ordinary differential equations
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References:
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