Existence of periodic solutions for a class of discrete systems with classical or bounded (phi_1,phi_2)-Laplacian

DOI10.22436/jnsa.010.02.19zbMath1412.37061OpenAlexW2589103536MaRDI QIDQ4631872

Hui Fang, Haiyun Deng, Xing-Yong Zhang

Publication date: 23 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.02.19

zbMATH Keywords

periodic solutionsdiscrete systemsleast action principlesaddle point theorem\((\phi_1,\phi_2)\)-Laplacian

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items

Multiple periodic solutions for two classes of nonlinear difference systems involving classical (ϕ1,ϕ2)-Laplacian

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homoclinic solutions for second order discrete \(p\)-Laplacian systems
• Periodic solutions for autonomous \((q,p)\)-Laplacian system with impulsive effects
• Existence of solutions for a nonlinear discrete system involving the \(p\)-Laplacian.
• Periodic solutions of second order nonlinear difference systems with \(\phi\)-Laplacian: A variational approach
• Existence of periodic and subharmonic solutions for second-order superlinear difference equations
• Infinitely many periodic solutions for second-order \((p,q)\)-Laplacian differential systems
• A further refinement of a three critical points theorem
• Existence of periodic solutions for a class of discrete Hamiltonian systems
• Existence of infinitely many homoclinic orbits in discrete Hamiltonian systems
• Some existence results on periodic solutions of nonautonomous second-order differential systems with (\(q,p)\)-Laplacian
• Periodic and subharmonic solutions of a class of subquadratic second-order Hamiltonian systems
• Critical point theory and Hamiltonian systems
• Notes on periodic solutions of subquadratic second order systems.
• Homoclinic solutions for a class of nonlinear difference systems with classical \((\phi_{1}, \phi_{2})\)-Laplacian
• A generalized saddle point theorem
• Periodic solutions of second order Lagrangian difference systems with bounded or singular \(\phi\)-Laplacian and periodic potential
• Multiple periodic solutions for a class of nonlinear difference systems with classical or bounded \((\phi_1,\phi_2)\)-Laplacian
• Notes on periodic solutions for a nonlinear discrete system involving the \(p\)-Laplacian
• Homoclinic orbits and subharmonics for nonlinear second order difference equations
• Existence of infinitely many solutions for a Neumann problem involving the \(p(x)\)-Laplacian
• Existence of a periodic solution for subquadratic second-order discrete Hamiltonian system
• Periodic solutions of second order discrete convex systems involving the \(p\)-Laplacian
• Periodic solutions for second-order discrete Hamiltonian systems
• THE EXISTENCE OF PERIODIC AND SUBHARMONIC SOLUTIONS OF SUBQUADRATIC SECOND ORDER DIFFERENCE EQUATIONS
• Multiple periodic solutions for two classes of nonlinear difference systems involving classical (ϕ1,ϕ2)-Laplacian
• Minimax Systems and Critical Point Theory