메뉴 건너뛰기




Volumn 15, Issue 3, 2006, Pages 747-757

Collisionless orbits of singular and nonsingular dynamical systems

Author keywords

Fixed point index; Periodic solutions; Weak singularity

Indexed keywords


EID: 33750172329     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2006.15.747     Document Type: Article
Times cited : (59)

References (16)
  • 1
    • 0017014016 scopus 로고
    • Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces
    • H. Amann, Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces, SIAM. Rev., 18 (1976), 620-709.
    • (1976) SIAM. Rev. , vol.18 , pp. 620-709
    • Amann, H.1
  • 3
    • 1342323764 scopus 로고    scopus 로고
    • Constant-sign solutions of a system of Fredholm integral equations
    • MR2034575 (2004j:45001)
    • R. P. Agarwal, D. O'Regan and P. J. Y. Wong, Constant-sign solutions of a system of Fredholm integral equations, Acta Appl. Math. 80 (2004), no. 1, 57-94; MR2034575 (2004j:45001)
    • (2004) Acta Appl. Math. , vol.80 , Issue.1 , pp. 57-94
    • Agarwal, R.P.1    O'Regan, D.2    Wong, P.J.Y.3
  • 4
    • 0003535772 scopus 로고
    • Allyn & Bacon, Boston, Mass.; MR0193606 (33 #1824)
    • J. Dugundji, Topology, Allyn & Bacon, Boston, Mass., 1966; MR0193606 (33 #1824)
    • (1966) Topology
    • Dugundji, J.1
  • 5
    • 0842325119 scopus 로고    scopus 로고
    • On the existence of collisionless equivariant minimizers for the classical n-body problem
    • MR2031430
    • D. L. Ferrario and S. Terracini, On the existence of collisionless equivariant minimizers for the classical n-body problem, Invent. Math. 155 (2004), no. 2, 305-362; MR2031430
    • (2004) Invent. Math. , vol.155 , Issue.2 , pp. 305-362
    • Ferrario, D.L.1    Terracini, S.2
  • 9
    • 0242593196 scopus 로고    scopus 로고
    • Multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces
    • MR2008849 (2004h:34049)
    • D. Jiang, J. Chu, D. O'Regan and R.P. Agarwal, Multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces, J. Math. Anal. Appl. 286 (2003), no. 2, 563-576; MR2008849 (2004h:34049)
    • (2003) J. Math. Anal. Appl. , vol.286 , Issue.2 , pp. 563-576
    • Jiang, D.1    Chu, J.2    O'Regan, D.3    Agarwal, R.P.4
  • 11
    • 0035506592 scopus 로고    scopus 로고
    • Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems
    • MR1866282 (2002i:34022)
    • I. Rachunková, M. Tvrdý and I. Vrkoč, Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems, J. Differential Equations 176 (2001), no. 2, 445-469; MR1866282 (2002i:34022)
    • (2001) J. Differential Equations , vol.176 , Issue.2 , pp. 445-469
    • Rachunková, I.1    Tvrdý, M.2    Vrkoč, I.3
  • 12
    • 0005827578 scopus 로고    scopus 로고
    • Periodic solutions for singular Hamiltonian systems and closed geodesies on noncompact Riemannian manifolds
    • MR1743429 (2001e:37081)
    • K. Tanaka, Periodic solutions for singular Hamiltonian systems and closed geodesies on noncompact Riemannian manifolds, Ann. Inst. H. Poincaré Anal. Non Linéaire 17 (2000), no. 1, 1-33; MR1743429 (2001e:37081)
    • (2000) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.17 , Issue.1 , pp. 1-33
    • Tanaka, K.1
  • 13
    • 4944229622 scopus 로고    scopus 로고
    • Non-collision periodic solutions of forced dynamical systems with weak singularities
    • MR2083439
    • P. J. Torres, Non-collision periodic solutions of forced dynamical systems with weak singularities, Discrete Contin. Dyn. Syst. 11 (2004), no. 2-3, 693-698; MR2083439
    • (2004) Discrete Contin. Dyn. Syst. , vol.11 , Issue.2-3 , pp. 693-698
    • Torres, P.J.1
  • 14
    • 0038702598 scopus 로고    scopus 로고
    • Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem
    • MR1970045 (2003k:34082)
    • P. J. Torres, Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem, J. Differential Equations 190 (2003), no. 2, 643-662; MR1970045 (2003k:34082)
    • (2003) J. Differential Equations , vol.190 , Issue.2 , pp. 643-662
    • Torres, P.J.1
  • 15
    • 22444454256 scopus 로고    scopus 로고
    • Periodic solutions of damped differential systems with repulsive singular forces
    • MR1637460 (99k:34092)
    • M. Zhang, Periodic solutions of damped differential systems with repulsive singular forces, Proc. Amer. Math. Soc. 127 (1999), no. 2, 401-407; MR1637460 (99k:34092)
    • (1999) Proc. Amer. Math. Soc. , vol.127 , Issue.2 , pp. 401-407
    • Zhang, M.1
  • 16
    • 0038685280 scopus 로고    scopus 로고
    • On existence and multiplicity of positive solutions to periodic boundary value problems for singular nonlinear second order differential equations
    • MR1980077 (2004g:34031)
    • Z. Zhang and J. Wang, On existence and multiplicity of positive solutions to periodic boundary value problems for singular nonlinear second order differential equations, J. Math. Anal. Appl. 281 (2003), no. 1, 99-107; MR1980077 (2004g:34031)
    • (2003) J. Math. Anal. Appl. , vol.281 , Issue.1 , pp. 99-107
    • Zhang, Z.1    Wang, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.