Positive Solutions for a Periodic Boundary Value Problem without Assumptions of Monotonicity and Convexity

Abstract

In the case of not requiring the nonlinear term to be monotone or convex, we study the existence of positive solutions for second-order periodic boundary value problem by using the first eigenvalue of the corresponding linear problem and fixed point index theory. The work significantly improves and generalizes the main results of J. Graef et al. [A periodic… (More)

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