Article citationsMore>>
Long, Y. (2002) Index Theory for Symplectic Paths with Applications. In: Chambert-Loir, A., Lu, J.-H., Ruzhansky, M. and Tschinkel, Y., Eds., Progress in Mathematics, Birkhauser, Basel, 132-173.
https://doi.org/10.1007/978-3-0348-8175-3
has been cited by the following article:
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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.