메뉴 건너뛰기




Volumn 39, Issue 4, 2007, Pages 653-660

Applications of schauder's fixed point theorem to singular differential equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 43449119869     PISSN: 00246093     EISSN: 14692120     Source Type: Journal    
DOI: 10.1112/blms/bdm040     Document Type: Article
Times cited : (56)

References (19)
  • 1
    • 14844360218 scopus 로고    scopus 로고
    • Forced singular oscillators and the method of lower and upper solutions
    • D. Bonheure and C. De Coster, 'Forced singular oscillators and the method of lower and upper solutions', Topol. Methods Nonlinear Anal. 22 (2003) 297-317.
    • (2003) Topol. Methods Nonlinear Anal. , vol.22 , pp. 297-317
    • Bonheure, D.1    Coster De, C.2
  • 3
    • 0001873738 scopus 로고    scopus 로고
    • Upper and lower solutions in the theory of ODE boundary value problems: Classical and recent results
    • ed. F. Zanolin, CISM-ICMS 371, Springer, New York
    • C. De Coster and P. Habets, 'Upper and lower solutions in the theory of ODE boundary value problems: Classical and recent results', Nonlinear analysis and boundary value problems for ordinary differential equations, ed. F. Zanolin, CISM-ICMS 371 (Springer, New York, 1996) 1-78.
    • (1996) Nonlinear Analysis and Boundary Value Problems for Ordinary Differential Equations , pp. 1-78
    • Coster De, C.1    Habets, P.2
  • 4
    • 21144470754 scopus 로고
    • Subharmonic solutions for some second order differential equations with singularities
    • A. Fonda, R. Manásevich and F. Zanolin, 'Subharmonic solutions for some second order differential equations with singularities', SIAM J. Math. Anal. 24 (1993) 1294-1311.
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 1294-1311
    • Fonda, A.1    Manásevich, R.2    Zanolin, F.3
  • 5
    • 33750172329 scopus 로고    scopus 로고
    • Collisionless orbits of singular and nonsingular dynamical systems
    • D. Franco and J. K. L. Webb, 'Collisionless orbits of singular and nonsingular dynamical systems', Discrete Contin. Dynam. Syst. 15 (2006) 747-757.
    • (2006) Discrete Contin. Dynam. Syst. , vol.15 , pp. 747-757
    • Franco, D.1    Webb, J.K.L.2
  • 6
    • 84967782996 scopus 로고
    • Conservative dynamical systems involving strong forces
    • W. B. Gordon, 'Conservative dynamical systems involving strong forces', Trans. Amer. Math. Soc. 204 (1975) 113-135.
    • (1975) Trans. Amer. Math. Soc. , vol.204 , pp. 113-135
    • Gordon, W.B.1
  • 7
    • 67651101560 scopus 로고
    • Periodic solution of some liénard equations with singularities
    • P. Habets and L. Sanchez, 'Periodic solution of some Liénard equations with singularities', Proc. Amer. Math. Soc. 109 (1990) 1135-1144.
    • (1990) Proc. Amer. Math. Soc. , vol.109 , pp. 1135-1144
    • Habets, P.1    Sanchez, L.2
  • 8
    • 0242593196 scopus 로고    scopus 로고
    • Multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces
    • DOI 10.1016/S0022-247X(03)00493-1
    • 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) 563-576. (Pubitemid 37374098)
    • (2003) Journal of Mathematical Analysis and Applications , vol.286 , Issue.2 , pp. 563-576
    • Jiang, D.1    Chu, J.2    O'Regan, D.3    Agarwal, R.P.4
  • 9
    • 14844350923 scopus 로고    scopus 로고
    • Multiplicity of positive periodic solutions to superlinear repulsive singular equations
    • DOI 10.1016/j.jde.2004.10.031, PII S0022039604003973
    • D. Jiang, J. Chu and M. Zhang, 'Multiplicity of positive periodic solutions to superlinear repulsive singular equations', J. Differential Equations 211 (2005) 282-302. (Pubitemid 40354889)
    • (2005) Journal of Differential Equations , vol.211 , Issue.2 , pp. 282-302
    • Jiang, D.1    Chu, J.2    Zhang, M.3
  • 10
    • 84968467454 scopus 로고
    • On periodic solutions of nonlinear differential equations with singularities
    • A. C. Lazer and S. Solimini, 'On periodic solutions of nonlinear differential equations with singularities', Proc. Amer. Math. Soc. 99 (1987) 109-114.
    • (1987) Proc. Amer. Math. Soc. , vol.99 , pp. 109-114
    • Lazer, A.C.1    Solimini, S.2
  • 11
    • 0002113063 scopus 로고
    • Topological degree and boundary value problems for nonlinear differential equations
    • ed. M. Furi and P. Zecca, Lecture Notes in Mathematics 1537 Springer, New York/Berlin
    • J. Mawhin, 'Topological degree and boundary value problems for nonlinear differential equations', Topological methods for ordinary differential equations, ed. M. Furi and P. Zecca, Lecture Notes in Mathematics 1537 (Springer, New York/Berlin, 1993) 74-142.
    • (1993) Topological Methods for Ordinary Differential Equations , pp. 74-142
    • Mawhin, J.1
  • 12
    • 0001196155 scopus 로고
    • Infinitely many T-periodic solutions for a problem arising in nonlinear elasticity
    • M. A. del Pino and R. F. Manásevich, 'Infinitely many T-periodic solutions for a problem arising in nonlinear elasticity', J. Differential Equations 103 (1993) 260-277.
    • (1993) J. Differential Equations , vol.103 , pp. 260-277
    • Del Pino, M.A.1    Manásevich, R.F.2
  • 13
    • 84974027478 scopus 로고
    • T-periodic solutions for some second order differential equations with singularities
    • M. A. del Pino, R. F. Manásevich and A. Montero, 'T-periodic solutions for some second order differential equations with singularities', Proc. Roy. Soc. Edinburgh Sect. A 120 (1992) 231-243.
    • (1992) Proc. Roy. Soc. Edinburgh Sect. , vol.120 A , pp. 231-243
    • Del Pino, M.A.1    Manásevich, R.F.2    Montero, A.3
  • 14
    • 0035506592 scopus 로고    scopus 로고
    • Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems
    • I. Rachunková, M. Tvrdý and I. Vrkoc̈, 'Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems', J. Differential Equations 176 (2001) 445-469.
    • (2001) J. Differential Equations , vol.176 , pp. 445-469
    • Rachunková, I.1    Tvrdý, M.2    Vrkoc̈, I.3
  • 15
    • 0038702598 scopus 로고    scopus 로고
    • Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem
    • 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) 643-662.
    • (2003) J. Differential Equations , vol.190 , pp. 643-662
    • Torres, P.J.1
  • 16
    • 33750163929 scopus 로고    scopus 로고
    • Weak singularities may help periodic solutions to exist
    • P. J. Torres, 'Weak singularities may help periodic solutions to exist', J. Differential Equations 232 (2007) 277-284.
    • (2007) J. Differential Equations , vol.232 , pp. 277-284
    • Torres, P.J.1
  • 17
    • 0043175345 scopus 로고    scopus 로고
    • Higher order nonresonance for differential equations with singularities
    • P. Yan and M. Zhang, 'Higher order nonresonance for differential equations with singularities', Math. Methods Appl. Sci. 26 (2003) 1067-1074.
    • (2003) Math. Methods Appl. Sci. , vol.26 , pp. 1067-1074
    • Yan, P.1    Zhang, M.2
  • 18
    • 0041392487 scopus 로고    scopus 로고
    • A relationship between the periodic and the Dirichlet BVPs of singular differential equations
    • M. Zhang, 'A relationship between the periodic and the Dirichlet BVPs of singular differential equations', Proc. Roy. Soc. Edinburgh Sect. A 128 (1998) 1099-1114.
    • (1998) Proc. Roy. Soc. Edinburgh Sect. , vol.128 A , pp. 1099-1114
    • Zhang, M.1
  • 19
    • 33644588170 scopus 로고    scopus 로고
    • Periodic solutions of equations of emarkov-pinney type
    • M. Zhang, 'Periodic solutions of equations of Emarkov-Pinney type', Adv. Nonlinear Stud. 6 (2006) 57-67.
    • (2006) Adv. Nonlinear Stud. , vol.6 , pp. 57-67
    • Zhang, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.