Periodic solutions for non-autonomous second-order differential systems with (q,p)-Laplacian

Some existence theorems are obtained for periodic solutions of nonautonomous second-order differential systems with (q, p)-Laplacian by using the least action principle and the saddle point theorem.

[1]  PERIODIC SOLUTIONS FOR NONAUTONOMOUS SECOND ORDER DIFFERENTIAL INCLUSIONS SYSTEMS WITH p – LAPLACIAN , 2006 .

[2]  Chun-Lei Tang,et al.  Periodic Solutions for Second Order Systems with Not Uniformly Coercive Potential , 2001 .

[3]  P. Daniel.  Periodic solutions of a class of nonautonomous second order differential systems with $(q,p)$--Laplacian , 2010 .

[4]  Chun-Lei Tang,et al.  Periodic Solutions of Non-autonomous Second-Order Systems with γ-Quasisubadditive Potential , 1995 .

[5]  D. Pasca.  PERIODIC SOLUTIONS OF SECOND-ORDER DIFFERENTIAL INCLUSIONS SYSTEMS WITH (q, p)-LAPLACIAN , 2011 .

[6]  Shu Jie Li.  Periodic solutions of nonautonomous second order systems with superlinear terms , 1992, Differential and Integral Equations.

[7]  D. Pasca,et al.  SOME EXISTENCE RESULTS ON PERIODIC SOLUTIONS OF ORDINARY (q, p)-LAPLACIAN SYSTEMS , 2011 .

[8]  J. Mawhin,et al.  Critical Point Theory and Hamiltonian Systems , 1989 .

[9]  P. Rabinowitz.  Minimax methods in critical point theory with applications to differential equations , 1986 .

[10]  Martin Schechter,et al.  On the Solvability of Semilinear Gradient Operator Equations , 1977 .

[11]  Chun-Lei Tang,et al.  Periodic Solutions of a Class of Non-autonomous Second-Order Systems , 1999 .

[12]  Yiming Long,et al.  Nonlinear oscillations for classical Hamiltonian systems with bi-even subquadratic potentials , 1995 .

[13]  Xianhua Tang,et al.  Solutions of a second-order Hamiltonian system with periodic boundary conditions , 2010 .

[14]  W. Ge,et al.  Periodic solutions of non-autonomous second-order systems with a p-Laplacian , 2007 .

[15]  Chun-Lei Tang,et al.  Periodic solutions for nonautonomous second order systems with sublinear nonlinearity , 1998 .

[16]  Chun-Lei Tang,et al.  Some existence results on periodic solutions of nonautonomous second-order differential systems with (q, p)-Laplacian , 2010, Appl. Math. Lett..