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Dong, Y. (2005) Index Theory, Nontrivial Solutions, and Asymptotically Linear Second-Order Hamiltonian Systems. Journal of Differential Equations, 214, 233-255.
https://doi.org/10.1016/j.jde.2004.10.030

has been cited by the following article:

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

  AUTHORS: Keqiang Li, Ronghua Tong

  KEYWORDS: Asymptotically Linear Ordinary Differential Equations with Resonance, Multiple Solutions, Sturm-Liouville Boundary Value Problem, Index Theory, Morse Theory

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.5, May 29, 2019

  ABSTRACT: In this paper, we prove existence and multiplicities of solutions for asymptotically linear ordinary differential equations satisfying Sturm-Liouville boundary value conditions with resonance. Adding assumption H3 that is similar to (LL) in Theorem 1.1, by index theory and Morse theory, we obtain more nontrivial solutions.