scholarly journals Functional Model and Spectral Analysis of Discrete Singular Hamiltonian System

2019 ◽  
Vol 23 (3) ◽  
pp. 653-673 ◽  
Author(s):  
Bilender P. Allahverdiev
Keyword(s):  
Spectral Analysis ◽  
Hamiltonian System ◽  
Functional Model ◽  
Singular Hamiltonian System

Spectral analysis of transport operator: Functional model approach

2002 ◽  
Vol 51 (6) ◽  
pp. 1389-1426 ◽  
Author(s):  
Yuri A. Kuperin ◽  
Roman V. Romanov ◽  
Serguei N. Naboko
Keyword(s):  
Spectral Analysis ◽  
Functional Model ◽  
Transport Operator ◽  
Model Approach

scholarly journals New Periodic Solutions for the Singular Hamiltonian System

2014 ◽  
Vol 2014 ◽  
pp. 1-4
Author(s):  
Yi Liao
Keyword(s):  
Hamiltonian System ◽  
Periodic Solutions ◽  
Hamiltonian Systems ◽  
Second Order ◽  
Singular Case ◽  
Strong Force ◽  
Second Order Hamiltonian Systems ◽  
Palais Smale Condition ◽  
Singular Hamiltonian System ◽  
Force Potential

By use of the Cerami-Palais-Smale condition, we generalize the classical Weierstrass minimizing theorem to the singular case by allowing functions which attain infinity at some values. As an application, we study certain singular second-order Hamiltonian systems with strong force potential at the origin and show the existence of new periodic solutions with fixed periods.

Sign in / Sign up

Export Citation Format

Share Document