메뉴 건너뛰기




Volumn 60, Issue 2, 2005, Pages 325-335

Existence and multiplicity of periodic solution for non-autonomous second-order systems with linear nonlinearity

Author keywords

(PS) condition; Non autonomous second order systems; Periodic solution; Sobolev's inequality; Wirtinger's inequality

Indexed keywords

COERCIVE FORCE; CONTROL NONLINEARITIES; FUNCTIONS; HAMILTONIANS; PROBLEM SOLVING; THEOREM PROVING;

EID: 10044231567     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2004.08.031     Document Type: Article
Times cited : (35)

References (12)
  • 1
    • 0002248418 scopus 로고
    • On the solvability of semi-linear gradient operator equations
    • M.S. Berger, M. Schechter, On the solvability of semi-linear gradient operator equations, Adv. Math. 25 (1977) 97-132.
    • (1977) Adv. Math. , vol.25 , pp. 97-132
    • Berger, M.S.1    Schechter, M.2
  • 3
    • 0035997408 scopus 로고    scopus 로고
    • Selected new aspects of the calculus variational in the large
    • I. Ekeland, N. Ghoussoub, Selected new aspects of the calculus variational in the large, Bull. Amer. Math. Soc. 39 (2002) 207-265.
    • (2002) Bull. Amer. Math. Soc. , vol.39 , pp. 207-265
    • Ekeland, I.1    Ghoussoub, N.2
  • 4
    • 0037113601 scopus 로고    scopus 로고
    • Periodic solutions for some nonautonomous second-order systems
    • J. Ma, C.L. Tang, Periodic solutions for some nonautonomous second-order systems, J. Math. Anal. Appl. 275 (2002) 482-494.
    • (2002) J. Math. Anal. Appl. , vol.275 , pp. 482-494
    • Ma, J.1    Tang, C.L.2
  • 5
    • 0001420776 scopus 로고
    • Semi-coercive monotone variational problems
    • J. Mawhin, Semi-coercive monotone variational problems, Acad. Roy. Belg. Bull. Cl. Sci. (5) 73 (1987) 118 -130.
    • (1987) Acad. Roy. Belg. Bull. Cl. Sci. (5) , vol.73 , pp. 118-130
    • Mawhin, J.1
  • 7
    • 0001901435 scopus 로고
    • Minimax methods in critical point theory with application to differential equations
    • Amer. Math. Soc., Providence, RI
    • P.H. Rabinowitz, Minimax methods in critical point theory with application to differential equations, CBMS Regional Conference Series in Mathematics, vol. 65, Amer. Math. Soc., Providence, RI, 1986.
    • (1986) CBMS Regional Conference Series in Mathematics , vol.65
    • Rabinowitz, P.H.1
  • 8
    • 22444454902 scopus 로고    scopus 로고
    • Periodic solutions for non-autonomous second order systems with sublinear nonlinearity
    • C.L. Tang, Periodic solutions for non-autonomous second order systems with sublinear nonlinearity, Proc. Amer. Math. Soc. 126 (1998) 3263-3270.
    • (1998) Proc. Amer. Math. Soc. , vol.126 , pp. 3263-3270
    • Tang, C.L.1
  • 9
    • 0003343275 scopus 로고
    • Oscillations forcées de systémes hamiltoniens
    • Univ. Besancon
    • M. Willem, Oscillations forcées de systémes hamiltoniens, in: Public. Sémin. Analyse Nonliniaire, Univ. Besancon, 1981.
    • (1981) Public. Sémin. Analyse Nonliniaire
    • Willem, M.1
  • 10
    • 0012617907 scopus 로고    scopus 로고
    • Periodic solutions of a class of non-autonomous second order systems
    • X.P. Wu, C.L. Tang, Periodic solutions of a class of non-autonomous second order systems, J. Math. Anal. Appl. 236 (1999) 227-235.
    • (1999) J. Math. Anal. Appl. , vol.236 , pp. 227-235
    • Wu, X.P.1    Tang, C.L.2
  • 11
    • 3442893536 scopus 로고    scopus 로고
    • Periodic solutions for a class of non-autonomous second order systems
    • F. Zhao, X. Wu, Periodic solutions for a class of non-autonomous second order systems, J. Math. Anal. Appl. 296 (2004) 422-434.
    • (2004) J. Math. Anal. Appl. , vol.296 , pp. 422-434
    • Zhao, F.1    Wu, X.2
  • 12
    • 1542406453 scopus 로고    scopus 로고
    • Saddle point reduction method for some non-autonomous second order systems
    • F. Zhao, X. Wu, Saddle point reduction method for some non-autonomous second order systems, J. Math. Anal. Appl. 291 (2004) 653-665.
    • (2004) J. Math. Anal. Appl. , vol.291 , pp. 653-665
    • Zhao, F.1    Wu, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.