Homoclinic orbits and periodic solutions for a class of Hamiltonian systems on time scales
From MaRDI portal
Publication:2019038
DOI10.1016/j.jmaa.2013.08.068zbMath1317.34181OpenAlexW2025518183MaRDI QIDQ2019038
Publication date: 27 March 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.08.068
periodic solutionstime scaleshomoclinic orbitvariational methodHamiltonian systemcritical-point theorem
Periodic solutions to ordinary differential equations (34C25) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Dynamic equations on time scales or measure chains (34N05)
Related Items
Homoclinic orbits for a class of second order dynamic equations on time scales via variational methods ⋮ Solutions for a class of Hamiltonian systems on time scales with non-local boundary conditions ⋮ Stepanov stability for delayed Lotka–Volterra recurrent neural networks on time scales ⋮ Weighted Stepanov-like pseudo almost periodicity on time scales and applications ⋮ An application of variational approach to a class of damped vibration problems with impulsive effects on time scales ⋮ Periodic solutions for a Cauchy problem on time scales ⋮ Homoclinic orbits for Hamiltonian systems induced by impulses ⋮ Dynamic behavior of a class of delayed Lotka-Volterra recurrent neural networks on time scales ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Homoclinic orbits for first order periodic Hamiltonian systems with spectrum point zero
- A non-autonomous Hamiltonian system on time scales
- Oscillation of \(n\)th order superlinear dynamic equations on time scales
- Arbitrary positive solutions to a multi-point p-laplacian boundary value problem involving the derivative on time scales
- Positive solutions to the singular \(p\)-Laplacian BVPs with sign-changing nonlinearities and higher-order derivatives in Banach spaces on time scales
- Analysis on measure chains - a unified approach to continuous and discrete calculus
- Some critical point theorems and their applications to periodic solution for second order Hamiltonian systems
- \(L^{2}\) spaces and boundary value problems on time-scales
- Maximum principles for second order dynamic equations on time scales
- Asymptotic behavior of second-order nonlinear dynamic equations on time scales
- Sobolev's spaces on time scales and its applications to a class of second order Hamiltonian systems on time scales
- Critical point theory and Hamiltonian systems
- Integration on time scales.
- Hamiltonian systems on time scales
- Linear Hamiltonian systems on time scales: Positivity of quadratic functionals
- Dynamic equations on time scales: A survey
- A spectral characterization of exponential stability for linear time-invariant systems on time scales
- Dual variational methods in critical point theory and applications
- Homoclinic orbits for a nonperiodic Hamiltonian system
- Triple positive solutions of \(m\)-point BVPs for \(p\)-Laplacian dynamic equations on time scales
- Existence theory for positive solutions to one-dimensional \(p\)-Laplacian boundary value problems on time scales
- Multiple positive pseudo-symmetric solutions of \(p\)-Laplacian dynamic equations on time scales
- Triple positive pseudo-symmetric solutions of three-point BVPs for \(p\)-Laplacian dynamic equations on time scales
- Oscillation of second-order nonlinear neutral delay dynamic equations on time scales
- Homoclinic solutions for a class of the second order Hamiltonian systems
- Homoclinic solutions for nonautonomous second order Hamiltonian systems with a coercive potential
- Remarks on finding critical points
- Cascade of homoclinic orbits for Hamiltonian systems: further properties
- Orbits homoclinic to centre manifolds of conservative PDEs
- Homoclinic orbits for a class of Hamiltonian systems
- Homoclinic orbits for asymptotically linear Hamiltonian systems
