메뉴 건너뛰기




Volumn 208, Issue 2, 2009, Pages 511-519

Positive solutions of a singular boundary value problem for systems of second-order differential equations

Author keywords

Completely continuous operator; Fixed point theorem in cones; Positive solutions; Singular boundary value problem; System of differential equations

Indexed keywords

BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS;

EID: 58849110665     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2008.12.019     Document Type: Article
Times cited : (11)

References (21)
  • 1
    • 38649126242 scopus 로고    scopus 로고
    • Positive solutions for a singular second order three-point boundary value problem
    • Liu B.M., Liu L.S., and Wu Y.H. Positive solutions for a singular second order three-point boundary value problem. Appl. Math. Comput. 196 2 (2008) 532-541
    • (2008) Appl. Math. Comput. , vol.196 , Issue.2 , pp. 532-541
    • Liu, B.M.1    Liu, L.S.2    Wu, Y.H.3
  • 2
    • 33947671955 scopus 로고    scopus 로고
    • Positive solutions of singular boundary value problems for nonlinear differential systems
    • Liu L.S., Liu B.M., and Wu Y.H. Positive solutions of singular boundary value problems for nonlinear differential systems. Appl. Math. Comput. 186 2 (2007) 1163-1172
    • (2007) Appl. Math. Comput. , vol.186 , Issue.2 , pp. 1163-1172
    • Liu, L.S.1    Liu, B.M.2    Wu, Y.H.3
  • 3
    • 36249021559 scopus 로고    scopus 로고
    • Positive solutions of singular boundary value problems for systems of nonlinear fourth order differential equations
    • Liu L.S., Kang P., Wu Y.H., and Wiwatanapataphee B. Positive solutions of singular boundary value problems for systems of nonlinear fourth order differential equations. Nonlinear Anal. 68 (2008) 485-498
    • (2008) Nonlinear Anal. , vol.68 , pp. 485-498
    • Liu, L.S.1    Kang, P.2    Wu, Y.H.3    Wiwatanapataphee, B.4
  • 4
    • 42949163877 scopus 로고    scopus 로고
    • Existence of positive solutions for singular higher-order differential equations
    • Liu L.S., Zhang X.G., and Wu Y.H. Existence of positive solutions for singular higher-order differential equations. Nonlinear Anal. 68 12 (2008) 3948-3961
    • (2008) Nonlinear Anal. , vol.68 , Issue.12 , pp. 3948-3961
    • Liu, L.S.1    Zhang, X.G.2    Wu, Y.H.3
  • 5
    • 34548435721 scopus 로고    scopus 로고
    • On existence of positive solutions of a two-point boundary value problem for a nonlinear singular semipositone system
    • Liu L.S., Zhang X.G., and Wu Y.H. On existence of positive solutions of a two-point boundary value problem for a nonlinear singular semipositone system. Appl. Math. Comput. 192 1 (2007) 223-232
    • (2007) Appl. Math. Comput. , vol.192 , Issue.1 , pp. 223-232
    • Liu, L.S.1    Zhang, X.G.2    Wu, Y.H.3
  • 6
    • 39449087670 scopus 로고    scopus 로고
    • Positive solutions of singular boundary value problems on the half-line
    • Wang Y., Liu L.S., and Wu Y.H. Positive solutions of singular boundary value problems on the half-line. Appl. Math. Comput. 197 2 (2008) 789-796
    • (2008) Appl. Math. Comput. , vol.197 , Issue.2 , pp. 789-796
    • Wang, Y.1    Liu, L.S.2    Wu, Y.H.3
  • 7
    • 35548978093 scopus 로고    scopus 로고
    • Eigenvalues of fourth-order singular Sturm-Liouville boundary value problems
    • Zhang X.G., Liu L.S., and Zou H.C. Eigenvalues of fourth-order singular Sturm-Liouville boundary value problems. Nonlinear Anal. 68 (2008) 384-392
    • (2008) Nonlinear Anal. , vol.68 , pp. 384-392
    • Zhang, X.G.1    Liu, L.S.2    Zou, H.C.3
  • 8
    • 38649119438 scopus 로고    scopus 로고
    • Positive solutions for singular nonlinear boundary value problems
    • (in Chinese)
    • Liu L.S., and Sun Y. Positive solutions for singular nonlinear boundary value problems. Acta Math. Sci. 25 A (2005) 554-563 (in Chinese)
    • (2005) Acta Math. Sci. , vol.25 , Issue.A , pp. 554-563
    • Liu, L.S.1    Sun, Y.2
  • 9
    • 0035546349 scopus 로고    scopus 로고
    • Positive solutions for singular nonlinear boundary value problems
    • Erbe L.H., and Mathsen R.M. Positive solutions for singular nonlinear boundary value problems. Nonlinear Anal. 46 (2001) 974-986
    • (2001) Nonlinear Anal. , vol.46 , pp. 974-986
    • Erbe, L.H.1    Mathsen, R.M.2
  • 10
    • 0038685280 scopus 로고    scopus 로고
    • On existence and multiplicity of positive solutions to periodic boundary value problems for singular nonlinear second order differential equation
    • Zhang Z.X., and Wang J.Y. On existence and multiplicity of positive solutions to periodic boundary value problems for singular nonlinear second order differential equation. J. Math. Anal. Appl. 281 (2003) 99-107
    • (2003) J. Math. Anal. Appl. , vol.281 , pp. 99-107
    • Zhang, Z.X.1    Wang, J.Y.2
  • 11
    • 0030268560 scopus 로고    scopus 로고
    • Periodic solutions of Liénard equations with singular forces of repulsive type
    • Zhang M.R. Periodic solutions of Liénard equations with singular forces of repulsive type. J. Math. Anal. Appl. 203 (1996) 254-269
    • (1996) J. Math. Anal. Appl. , vol.203 , pp. 254-269
    • Zhang, M.R.1
  • 12
    • 0041392487 scopus 로고    scopus 로고
    • A relationship between the periodic and the Dirichlet BVPs of singular differential equations
    • Zhang M.R. A relationship between the periodic and the Dirichlet BVPs of singular differential equations. Proc. Roy. Soc. Edinburgh 128 A (1998) 1099-1114
    • (1998) Proc. Roy. Soc. Edinburgh , vol.128 , Issue.A , pp. 1099-1114
    • Zhang, M.R.1
  • 13
    • 0038685280 scopus 로고    scopus 로고
    • On existence and multiplicity of positive solutions to periodic boundary value problems for singular nonlinear second order differential equations
    • Zhang Z.X., and Wang J.Y. 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) 99-107
    • (2003) J. Math. Anal. Appl. , vol.281 , pp. 99-107
    • Zhang, Z.X.1    Wang, J.Y.2
  • 14
    • 14844350923 scopus 로고    scopus 로고
    • Multiplicity positive periodic solutions to superlinear repulsive singular equations
    • Jiang D.Q., Chu J.F., and Zhang M.R. Multiplicity positive periodic solutions to superlinear repulsive singular equations. J. Differen. Equat. 211 (2005) 282-302
    • (2005) J. Differen. Equat. , vol.211 , pp. 282-302
    • Jiang, D.Q.1    Chu, J.F.2    Zhang, M.R.3
  • 15
    • 0032377804 scopus 로고    scopus 로고
    • A singular nonlinear second order periodic boundary value problem
    • Wang J.Y., and Jiang D.Q. A singular nonlinear second order periodic boundary value problem. Tohoku Math. J. 50 (1998) 203-210
    • (1998) Tohoku Math. J. , vol.50 , pp. 203-210
    • Wang, J.Y.1    Jiang, D.Q.2
  • 16
    • 0000934317 scopus 로고
    • The method of lower and upper solutions for second, third, fourth and higher order periodic boundary value problems
    • Cabada A. The method of lower and upper solutions for second, third, fourth and higher order periodic boundary value problems. J. Math. Anal. Appl. 185 (1994) 302-320
    • (1994) J. Math. Anal. Appl. , vol.185 , pp. 302-320
    • Cabada, A.1
  • 17
    • 0001258818 scopus 로고
    • The method of lower and upper solutions for third order periodic boundary value problems
    • Cabada A. The method of lower and upper solutions for third order periodic boundary value problems. J. Math. Anal. Appl. 195 (1995) 568-589
    • (1995) J. Math. Anal. Appl. , vol.195 , pp. 568-589
    • Cabada, A.1
  • 18
    • 38249011459 scopus 로고
    • Remarks on the lower and upper solutions method for second and third-order periodic boundary value problems
    • Omari P., and Trombetta M. Remarks on the lower and upper solutions method for second and third-order periodic boundary value problems. Appl. Math. Comput. 50 (1992) 1-21
    • (1992) Appl. Math. Comput. , vol.50 , pp. 1-21
    • Omari, P.1    Trombetta, M.2
  • 19
    • 0038413003 scopus 로고    scopus 로고
    • On the existence of positive solutions to second order periodic BVPs
    • (in Chinese)
    • Jiang D.Q. On the existence of positive solutions to second order periodic BVPs. Acta Math. Sci. 18 (1998) 31-35 (in Chinese)
    • (1998) Acta Math. Sci. , vol.18 , pp. 31-35
    • Jiang, D.Q.1
  • 20
    • 0017014016 scopus 로고
    • Fixed point equations and nonlinear eigenvalue problems in ordered Banach space
    • Amann H. Fixed point equations and nonlinear eigenvalue problems in ordered Banach space. SIAM Rev. 18 (1976) 620-729
    • (1976) SIAM Rev. , vol.18 , pp. 620-729
    • Amann, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.