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Volumn 16, Issue 3, 2003, Pages 279-285

A necessary and sufficient condition for the existence of positive solutions of fourth-order singular boundary value problems

Author keywords

Fixed point; Fourth order singular boundary value problems; Positive solutions; Superlinear (sublinear)

Indexed keywords


EID: 84867921261     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(03)80044-7     Document Type: Article
Times cited : (29)

References (14)
  • 2
    • 38249019613 scopus 로고
    • Fourth (and higher) order singular boundary value problems
    • D. O'Regan Fourth (and higher) order singular boundary value problems Nonlinear Anal. TMA 14 1990 1001 1038
    • (1990) Nonlinear Anal. TMA , vol.14 , pp. 1001-1038
    • O'Regan, D.1
  • 3
    • 49249143125 scopus 로고
    • A nonlinear singular boundary value problems
    • S.D. Taliaferro A nonlinear singular boundary value problems Nonlinear Anal. TMA 3 1979 897 904
    • (1979) Nonlinear Anal. TMA , vol.3 , pp. 897-904
    • Taliaferro, S.D.1
  • 4
    • 0001414103 scopus 로고
    • Existence and uniqueness theorems for fourth order boundary value problems
    • A.R. Aftabizadeh Existence and uniqueness theorems for fourth order boundary value problems J. Math. Anal. Appl. 116 1982 415 426
    • (1982) J. Math. Anal. Appl. , vol.116 , pp. 415-426
    • Aftabizadeh, A.R.1
  • 5
    • 38249027575 scopus 로고
    • Existence and uniqueness results for fourth order boundary value problems
    • C.P. Gupta Existence and uniqueness results for fourth order boundary value problems J. Math. Anal. Appl. 135 1988 208 225
    • (1988) J. Math. Anal. Appl. , vol.135 , pp. 208-225
    • Gupta, C.P.1
  • 6
    • 0021371823 scopus 로고
    • Fourth order boundary value problems; Estimates by two-point bounded
    • J. Schroder Fourth order boundary value problems; estimates by two-point bounded Nonlinear Anal. TMA 8 1984 107 114
    • (1984) Nonlinear Anal. TMA , vol.8 , pp. 107-114
    • Schroder, J.1
  • 7
    • 84966202860 scopus 로고
    • A uniqueness theorem for a boundary value problem
    • Second Edition
    • R.A. Usmani A uniqueness theorem for a boundary value problem Second Edition Proc. Amer. Math. Soc. 77 1979 329 335
    • (1979) Proc. Amer. Math. Soc. , vol.77 , pp. 329-335
    • Usmani, R.A.1
  • 8
    • 0030186866 scopus 로고    scopus 로고
    • Uniqueness of positive solutions for some nonlinear fourth order equations
    • R. Dalmasso Uniqueness of positive solutions for some nonlinear fourth order equations J. Math. Anal. Appl. 201 1996 152 168
    • (1996) J. Math. Anal. Appl. , vol.201 , pp. 152-168
    • Dalmasso, R.1
  • 9
    • 0002872438 scopus 로고
    • Solvability of some fourth (and higher) order singular boundary value problems
    • D. O'Regan 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
  • 10
    • 0000270264 scopus 로고    scopus 로고
    • Positive solutions of singular boundary value problems of fourth order differential equations (in Chinese)
    • Z. Wei Positive solutions of singular boundary value problems of fourth order differential equations (in Chinese) Acta Math. Sinica 42 1999 715 722
    • (1999) Acta Math. Sinica , vol.42 , pp. 715-722
    • Wei, Z.1
  • 11
    • 84952401788 scopus 로고
    • On the existence of positive solutions of fourth order ordinary differential equations
    • R. Ma, and H. Wang On the existence of positive solutions of fourth order ordinary differential equations Appl. Anal. 59 1995 225 231
    • (1995) Appl. Anal. , vol.59 , pp. 225-231
    • Ma, R.1    Wang, H.2
  • 12
    • 0002123175 scopus 로고
    • Singular nonlinear boundary value problems for second order ordinary differential equations
    • J.A. Gatica, V. Oliker, and P. Waltman Singular nonlinear boundary value problems for second order ordinary differential equations J. Diff. Eqns. 79 1989 62 78
    • (1989) J. Diff. Eqns. , vol.79 , pp. 62-78
    • Gatica, J.A.1    Oliker, V.2    Waltman, P.3
  • 14
    • 38049019254 scopus 로고    scopus 로고
    • A necessary and sufficient condition for the existence of positive solutions to a class of singular second-order boundary value problems (in Chinese)
    • Z. Hao, and A. Mao A necessary and sufficient condition for the existence of positive solutions to a class of singular second-order boundary value problems (in Chinese) J. Sys. Sci. & Math. Scis. 21 2001 93 100
    • (2001) J. Sys. Sci. & Math. Scis. , vol.21 , pp. 93-100
    • Hao, Z.1    Mao, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.