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Existence Results for a 2nth-Order Differential Equation via Variational Methods

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In this paper, we discuss the existence of solutions for a 2nth-order differential equation with Sturm–Liouville operator. Using critical point theorems due to Bonanno and Candito, we prove that there… Click to show full abstract

In this paper, we discuss the existence of solutions for a 2nth-order differential equation with Sturm–Liouville operator. Using critical point theorems due to Bonanno and Candito, we prove that there exist at least three classical solutions for the boundary value problem.

Keywords: 2nth order; differential equation; existence; order differential

Journal Title: Mediterranean Journal of Mathematics
Year Published: 2017

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