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Existence and Multiplicities of Solutions for Asymptotically Linear Ordinary Differential Equations Satisfying Sturm-Liouville BVPs with Resonance

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Document pages: 15 pages

Abstract: In this paper, we proveexistence and multiplicities of solutions for asymptotically linear ordinarydifferential equations satisfying Sturm-Liouville boundary value conditionswith resonance. Adding assumption H3 that is similar to (LL) inTheorem 1.1, by index theory and Morse theory, we obtain more nontrivialsolutions.

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