Infinitely many periodic solutions for second-order -Laplacian differential systems

2011 ◽  
Vol 74 (15) ◽  
pp. 5215-5221 ◽  
Author(s):  
Yongkun Li ◽  
Tianwei Zhang
Keyword(s):  
Periodic Solutions ◽  
Second Order ◽  
Differential Systems ◽  
Infinitely Many Periodic Solutions

scholarly journals Existence and Multiplicity of Periodic Solutions Generated by Impulses

2011 ◽  
Vol 2011 ◽  
pp. 1-15 ◽  
Author(s):  
Liu Yang ◽  
Haibo Chen
Keyword(s):  
Variational Methods ◽  
Critical Point ◽  
Periodic Solutions ◽  
Critical Point Theory ◽  
Point Theory ◽  
Second Order ◽  
Differential Systems ◽  
Existence And Multiplicity ◽  
Infinitely Many Periodic Solutions

We investigate the existence and multiplicity of periodic solutions for a class of second-order differential systems with impulses. By using variational methods and critical point theory, we obtain such a system possesses at least one nonzero, two nonzero, or infinitely many periodic solutions generated by impulses under different conditions, respectively. Recent results in the literature are generalized and significantly improved.

scholarly journals Twin positive periodic solutions of second order singular differential systems

2005 ◽  
Vol 25 (2) ◽  
pp. 263 ◽  
Author(s):  
Xiaoning Lin ◽  
Daqing Jiang ◽  
Donal O'Regan ◽  
Ravi P. Agarwal
Keyword(s):  
Periodic Solutions ◽  
Second Order ◽  
Positive Periodic Solutions ◽  
Differential Systems

scholarly journals Infinitely Many Periodic Solutions for Nonautonomous Sublinear Second-Order Hamiltonian Systems

2010 ◽  
Vol 2010 ◽  
pp. 1-10 ◽  
Author(s):  
Peng Zhang ◽  
Chun-Lei Tang
Keyword(s):  
Periodic Solutions ◽  
Hamiltonian Systems ◽  
Critical Points ◽  
Local Minimum ◽  
Second Order ◽  
The Other ◽  
Second Order Hamiltonian Systems ◽  
Minimax Methods ◽  
Infinitely Many Periodic Solutions ◽  
Minimum Points

Two sequences of distinct periodic solutions for second-order Hamiltonian systems with sublinear nonlinearity are obtained by using the minimax methods. One sequence of solutions is local minimum points of functional, and the other is minimax type critical points of functional. We do not assume any symmetry condition on nonlinearity.

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