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Existence Results for Periodic Boundary Value Problems in Second-Order Hamiltonian Systems

Year: 2025

Type: article

Abstract: This paper is dedicated to investigating the existence of solutions for second order Hamiltonian systems with periodic potentials. We generalized some results to the operator equation Ax−∇Φ(x) = 0 by virtue of the critical point theory and the index theory of operator equations. And then we discuss the Sturm-Liouville boundary value problem and the generalized periodic boundary value problem with periodic potential, the existence of solutions is obtained.

Source: Journal of Advances in Mathematics and Computer Science

DOI: 10.9734/jamcs/2025/v40i41992

Author: Tingting Hu

Institution: Nanjing University of Chinese Medicine

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409293156

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