Multiplicity of periodic solutions for a boundary eigenvalue problem

Dynamical Systems

Volumn 20, Issue 2, 2005, Pages 223-232

  Shilgba, Leonard Karshima ^a  

^a YOKOHAMA NATIONAL UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; COERCIVE FORCE; EIGENVALUES AND EIGENFUNCTIONS; GRAVITATION; HAMILTONIANS; INTEGRAL EQUATIONS; POTENTIAL ENERGY; SET THEORY; THEOREM PROVING;

DYNAMICAL SYSTEMS; LOCAL COERCIVITY; PERIODIC SOLUTIONS; RICCERI'S THREE CRITICAL POINTS THEOREM;

DYNAMIC MECHANICAL ANALYSIS;

EID: 22144499652     PISSN: 14689367     EISSN: 14689375     Source Type: Journal    
DOI: 10.1080/14689360412331335693     Document Type: Article

References (13)

1. Tang, C.L., 1998, Existence and multiplicity of periodic solutions for nonautonomous second order systems. Nonlinear Analysis, 32(3), 299-304.
2. Tang, C.L., 1998, Periodic solutions for nonautonomous second order systems with sublinear non-linearity. Proceedings of the American Mathematical Society, 126(11), 3263-3270.
3. Tang, C.L. and Xing-Ping Wu, 2001, Periodic solutions for second order systems with not uniformly coercive potential. Jounal of Mathematical Analysis and Applications, 259, 386-397.
4. Faraci, F., 2002, Three periodic solutions for a second order nonautonomous system. Journal of Nonlinear Convex Analysis, 3, 393-399.
5. Pucci, P. and Serrin, J., 1985, A mountain pass theorem. Journal of Differential Equations, 60, 142-149.
6. Bonanno, G., 2000, Existence of three solutions for a two point Boundary value problem. Applied Mathematics Letters, 13, 53-57.
7. Candito, P., 2000, Existence of three solutions for a non-autonomous two point boundary value problem. Journal of Mathematical Analysis and Application, 252, 532-537.
8. Ricceri, B., 2000, On three critical points theorem. Archiv der Mathematik, 220-226.
9. Barletta, G. and Livrea, R., 2005, Existence of three periodic solutions for a non autonomous second order system. Le Matematiche (in press).
10. Cordaro, G., 2003, Three periodic solutions to an eigenvalue problem for a class of second order Hamiltonian systems. Abstract Applied Analysis, 18, 1037-1045.
11. Ricceri, B., 2000, Existence of three solutions for a class of elliptic eigenvalue problems. Mathematical and Computer Modelling, 32, 1485-1494.
12. Bonanno, G., 2003, Some remarks on a three critical points theorem. Nonlinear Analysis, 54, 651-665.
13. Mawhin, J. and Willem, M., 1989, Critical Point Theory and Hamiltonian Systems (New York: Springer-Verlag).