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

• 作者: Keqiang Li Ronghua Tong
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: Asymptotically Linear Ordinary Differential Equations with RESONANCE Multiple SOLUTIONS STURM-LIOUVILLE Boundary Value Problem Index THEORY Morse THEORY
• 年，卷（期）: 2019,（5）
• 页码范围: 1197-1211
• 页数: 15页
• 分类号: O1

摘要

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.