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Existence of Positive Solutions for a Class of Third-Order Boundary Value Problems with First Derivative

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This paper considers existence of positive solutions for a class of third-order ordinary differential equations boundary value problems with first derivative where λ is a positive parameter, 0η1 and 1α1/η are given constants. f(t,u,p):0,1×0,∞)×0,∞)→0,∞) is a continuous function, and f(t,0,0)=0. The proof of the main results is based upon global bifurcation techniques.

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