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Volumn 68, Issue 12, 2008, Pages 3948-3961

Existence of positive solutions for singular higher-order differential equations

Author keywords

Fixed point theorem; Positive cone; Positive solution; Singular higher order eigenvalue problem

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; PARAMETER ESTIMATION; PROBLEM SOLVING; SINGULAR VALUE DECOMPOSITION; THEOREM PROVING;

EID: 42949163877     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2007.04.032     Document Type: Article
Times cited : (10)

References (16)
  • 1
    • 84966234102 scopus 로고
    • On the existence of positive solutions of ordinary differential equations
    • Erbe L.H., and Wang H.Y. On the existence of positive solutions of ordinary differential equations. Proc. Amer. Math. Soc. 120 (1994) 743-748
    • (1994) Proc. Amer. Math. Soc. , vol.120 , pp. 743-748
    • Erbe, L.H.1    Wang, H.Y.2
  • 2
    • 43949161468 scopus 로고
    • Multiple positive solutions of boundary value problems
    • Erbe L.H., Hu S.C., and Wang H.Y. Multiple positive solutions of boundary value problems. J. Math. Anal. Appl. 184 (1994) 640-648
    • (1994) J. Math. Anal. Appl. , vol.184 , pp. 640-648
    • Erbe, L.H.1    Hu, S.C.2    Wang, H.Y.3
  • 3
    • 84972487845 scopus 로고
    • A singular boundary value problem arising from near-ignition analysis of flame structure
    • Choi Y.S. A singular boundary value problem arising from near-ignition analysis of flame structure. Differential Integral Equations 4 (1991) 891-895
    • (1991) Differential Integral Equations 4 , pp. 891-895
    • Choi, Y.S.1
  • 4
    • 42949088148 scopus 로고    scopus 로고
    • Existence of multiple positive solutions of singular boundary value problems
    • Ha K.S., and Lee Y.H. Existence of multiple positive solutions of singular boundary value problems. Nonlinear Anal. 28 (1998) 37-44
    • (1998) Nonlinear Anal. , vol.28 , pp. 37-44
    • Ha, K.S.1    Lee, Y.H.2
  • 5
    • 0000138479 scopus 로고
    • Existence of positive solutions of singular boundary value problems
    • Wong F.H. Existence of positive solutions of singular boundary value problems. Nonlinear Anal. 21 (1993) 397-406
    • (1993) Nonlinear Anal. , vol.21 , pp. 397-406
    • Wong, F.H.1
  • 6
    • 0042546083 scopus 로고    scopus 로고
    • A Multiplicity result of positive solutions for the generalized type singular boundary value problems
    • Lee Y.H. A Multiplicity result of positive solutions for the generalized type singular boundary value problems. Nonlinear Anal. 30 (1997) 3829-3835
    • (1997) Nonlinear Anal. , vol.30 , pp. 3829-3835
    • Lee, Y.H.1
  • 7
    • 0005247575 scopus 로고    scopus 로고
    • Positive solutions for nonlinear singular boundary value problems
    • Agarwal R.P., Wong F.H., and Lian W.C. Positive solutions for nonlinear singular boundary value problems. Appl. Math. Lett. 12 (1999) 115-120
    • (1999) Appl. Math. Lett. , vol.12 , pp. 115-120
    • Agarwal, R.P.1    Wong, F.H.2    Lian, W.C.3
  • 8
    • 0031106937 scopus 로고    scopus 로고
    • Positive solutions of nonlinear eigenvalue problems
    • Henderson J., and Wang H.Y. Positive solutions of nonlinear eigenvalue problems. J. Math. Anal. Appl. 208 (1997) 252-259
    • (1997) J. Math. Anal. Appl. , vol.208 , pp. 252-259
    • Henderson, J.1    Wang, H.Y.2
  • 9
    • 2342491840 scopus 로고    scopus 로고
    • Existence and multiplicity positive solutions for fourth-order boundary value problems
    • (in Chinese)
    • Li Y.X. Existence and multiplicity positive solutions for fourth-order boundary value problems. Acta Math. Appl. Sin. 26 (2003) 109-116 (in Chinese)
    • (2003) Acta Math. Appl. Sin. , vol.26 , pp. 109-116
    • Li, Y.X.1
  • 10
    • 38249019613 scopus 로고
    • Fourth (and higher) order singular boundary value problems
    • O'Regan D. Fourth (and higher) order singular boundary value problems. Nonlinear Anal. 14 (1990) 1001-1038
    • (1990) Nonlinear Anal. , vol.14 , pp. 1001-1038
    • O'Regan, D.1
  • 11
    • 0002872438 scopus 로고
    • Solvability of some fourth (and higher) order singular boundary value problems
    • O'Regan D. Solvability of some fourth (and higher) order singular boundary value problems. J. Math. Anal. Appl. 161 (1991) 78-116
    • (1991) J. Math. Anal. Appl. , vol.161 , pp. 78-116
    • O'Regan, D.1
  • 12
    • 0002974877 scopus 로고    scopus 로고
    • Eigenvalue of Lidstone boundary value problems
    • Wong P.J.Y. Eigenvalue of Lidstone boundary value problems. Appl. Math. Comput. 104 (1999) 15-31
    • (1999) Appl. Math. Comput. , vol.104 , pp. 15-31
    • Wong, P.J.Y.1
  • 13
    • 1242329922 scopus 로고    scopus 로고
    • Semipositone higher-order differential equations
    • O'Regan D. Semipositone higher-order differential equations. Appl. Math. Lett. 17 (2004) 201-207
    • (2004) Appl. Math. Lett. , vol.17 , pp. 201-207
    • O'Regan, D.1
  • 16
    • 0038182950 scopus 로고    scopus 로고
    • Solutions of 2nth Lidstone boundary value problems and dependence on higher order derivatives
    • Bai Z.B., and Ge W.G. Solutions of 2nth Lidstone boundary value problems and dependence on higher order derivatives. J. Math. Anal. Appl. 279 (2003) 442-450
    • (2003) J. Math. Anal. Appl. , vol.279 , pp. 442-450
    • Bai, Z.B.1    Ge, W.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.