Results 1 to 10 of about 864 (203)

Homoclinic solutions for a class of subquadratic second-order Hamiltonian systems

Journal of Mathematical Analysis and Applications, 2011
In this paper, we study the existence of infinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systems. By using the variant fountain theorem, we obtain a new criterion for guaranteeing that second-order Hamiltonian ...
Juntao Sun, Haibo Chen, Juan J Nieto
exaly   +2 more sources

Homoclinic orbits for a class of first-order nonperiodic asymptotically quadratic Hamiltonian systems with spectrum point zero

Journal of Mathematical Analysis and Applications, 2011
In this paper, we study the existence and multiplicity of homoclinic orbits for a class of first-order nonperiodic Hamiltonian systems. By applying two recent critical point theorems for strongly indefinite functionals, we give some new criteria to ...
Juntao Sun, Haibo Chen, Juan J Nieto
exaly   +2 more sources

Homoclinic and heteroclinic orbits for a class of Hamiltonian systems

Calculus of Variations and Partial Differential Equations, 1993
The goal of this paper is to establish the existence of a rich structure of homoclinic and heteroclinic solutions for the Hamiltonian system \(\ddot q+V_ q(t,q)=0\), where the potential \(V(t,q)\) satisfies the conditions \((\text{V}_ 1)\;V \in C^ 2(\mathbb{R}^ 1 \times \mathbb{R}^ n, \mathbb{R}^ 1)\) and is \(T\)-periodic in \(t\); \((\text{V}_ 2 ...
openaire   +2 more sources

Homoclinic solutions for a class of second-order Hamiltonian systems

Journal of Mathematical Analysis and Applications, 2009
X H Tang
exaly  

Homoclinic solutions for a class of second-order Hamiltonian systems

Nonlinear Analysis: Real World Applications, 2012
Xiang Lv, Shiping Lu, Jifa Jiang
exaly  

Homoclinic orbits for a class of first order nonperiodic Hamiltonian systems

Nonlinear Analysis: Real World Applications, 2018
Chungen Liu
exaly  

Homoclinic orbits for a class of the second order Hamiltonian systems

Acta Mathematica Scientia, 2010
Tang Chunlei
exaly  

On a class of singular second-order Hamiltonian systems with infinitely many homoclinic solutions

Journal of Mathematical Analysis and Applications, 2014
David G Costa, Hossein Tehrani
exaly  

Existence of homoclinic solutions for a class of second order ordinary differential equations

Nonlinear Analysis: Real World Applications, 2011
Claudianor O Alves, Luiz F O Faria
exaly  

Existence of homoclinic solutions for a class of second-order Hamiltonian systems with general potentials

Nonlinear Analysis: Real World Applications, 2012
Xiang Lv, Jifa Jiang
exaly