메뉴 건너뛰기




Volumn 8, Issue 1, 2005, Pages 79-88

Multiple positive solutions of fourth-order boundary value problems

Author keywords

Cone; Existence; Fixed point index; Multiple positive solutions

Indexed keywords


EID: 20144370834     PISSN: 13314343     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (6)

References (16)
  • 1
    • 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 (1986), 415-426.
    • (1986) J. Math. Anal. Appl. , vol.116 , pp. 415-426
    • Aftabizadeh, A.R.1
  • 2
    • 33947175349 scopus 로고
    • On fourth-order boundary value problems arising in beam analysis
    • R. P. AGARWAL. On fourth-order boundary value problems arising in beam analysis. Differential Integral Equations, 26 (1989), 91-110.
    • (1989) Differential Integral Equations , vol.26 , pp. 91-110
    • Agarwal, R.P.1
  • 3
    • 38249027575 scopus 로고
    • Existence and uniqueness results for a bending of an elastic beam equation at resonance
    • C. P. GUPTA, Existence and uniqueness results for a bending of an elastic beam equation at resonance, J. Math. Anal. Appl. 135 (1988), 208-225.
    • (1988) J. Math. Anal. Appl. , vol.135 , pp. 208-225
    • Gupta, C.P.1
  • 4
    • 84950192244 scopus 로고
    • Existence and uniqueness theorem for a bending of an elastic beam equation
    • C. P. GUPTA, Existence and uniqueness theorem for a bending of an elastic beam equation, Anal. Appl. 26 (1988), 289-304.
    • (1988) Anal. Appl. , vol.26 , pp. 289-304
    • Gupta, C.P.1
  • 5
    • 0142029336 scopus 로고
    • Existence and uniqueness results for some fourth order fully quasilinear boundary value problems
    • C. P. GUPTA, Existence and uniqueness results for some fourth order fully quasilinear boundary value problems, Anal. Appl. 36 (1990). 169-175.
    • (1990) Anal. Appl. , vol.36 , pp. 169-175
    • Gupta, C.P.1
  • 6
    • 84968491364 scopus 로고
    • Existence for a fourth-order boundary value problem under a two-parameter nonresonance condition
    • M. A. DEL PINO AND R. F. MANASEVICH, Existence for a fourth-order boundary value problem under a two-parameter nonresonance condition, Proc. Amer. Math. Soc. 112 (1991), 81-86.
    • (1991) Proc. Amer. Math. Soc. , vol.112 , pp. 81-86
    • Del Pino, M.A.1    Manasevich, R.F.2
  • 7
    • 85016423744 scopus 로고
    • Nonresonance conditions for fourth order nonlinear boundaiy value problems
    • C. DE COSTER, C. FABRY AND F. MUNYAMARERE, Nonresonance conditions for fourth order nonlinear boundaiy value problems, Internal. J. Math. Sci. 17 (1994), 725-740.
    • (1994) Internal. J. Math. Sci. , vol.17 , pp. 725-740
    • De Coster, C.1    Fabry, C.2    Munyamarere, F.3
  • 8
    • 84966202860 scopus 로고
    • A uniqueness theorem for a boundary value problem
    • R. A. USMANI, A uniqueness theorem for a boundary value problem, Proc. Amer, Math. Soc. 77 (1979), 327-335.
    • (1979) Proc. Amer, Math. Soc. , vol.77 , pp. 327-335
    • Usmani, R.A.1
  • 9
    • 84968518888 scopus 로고
    • Fourth-order two-point boundary value problem
    • Y. YANG, Fourth-order two-point boundary value problem, Proc. Amer. Math. Soc. 104 (1988), 175-180.
    • (1988) Proc. Amer. Math. Soc. , vol.104 , pp. 175-180
    • Yang, Y.1
  • 10
    • 0010888232 scopus 로고
    • Existence of positive solutions for fourth-order nonlinear problems
    • D. DUNNINGER, Existence of positive solutions for fourth-order nonlinear problems. Boll. Un. Mat. Ital. 7 (1987), 1129-1138.
    • (1987) Boll. Un. Mat. Ital. , vol.7 , pp. 1129-1138
    • Dunninger, D.1
  • 11
    • 84963428231 scopus 로고
    • A maximum principle for fourth-order ordinary differential equations
    • P. KORMAN. A maximum principle for fourth-order ordinary differential equations, Appl, Anal. 33 (1989), 267-273.
    • (1989) Appl, Anal. , vol.33 , pp. 267-273
    • Korman, P.1
  • 12
    • 0010930342 scopus 로고
    • Two-point boundaiy value problems for fourth-order
    • F. SADYRABAEV, Two-point boundaiy value problems for fourth-order, Acta Univ. Latvicnsis, 553 (1990), 84-91.
    • (1990) Acta Univ. Latvicnsis , vol.553 , pp. 84-91
    • Sadyrabaev, F.1
  • 13
    • 0021371823 scopus 로고
    • Fourth-order two-point boundary value problems; estimates by two side bounds
    • J. SCHRODER, Fourth-order two-point boundary value problems; estimates by two side bounds, Nonlinear Anal. 8 (1984). 107-114.
    • (1984) Nonlinear Anal. , vol.8 , pp. 107-114
    • Schroder, J.1
  • 14
    • 84952401788 scopus 로고
    • On the existence of positive solutions of fourth-order ordinary differential equations
    • R. Y. MA AND H. WANG, On the existence of positive solutions of fourth-order ordinary differential equations. Anal. Appl. 59 (1995), 225-231.
    • (1995) Anal. Appl. , vol.59 , pp. 225-231
    • Ma, R.Y.1    Wang, H.2
  • 15
    • 0031276985 scopus 로고    scopus 로고
    • The method of lower and upper solutions for fourth-order two-point boundary value problems
    • R. Y. MA, J. H. ZHANG AND S. M. Fu, The method of lower and upper solutions for fourth-order two-point boundary value problems, J. Math. Anal. Appl. 215 (1997), 415-422.
    • (1997) J. Math. Anal. Appl. , vol.215 , pp. 415-422
    • Ma, R.Y.1    Zhang, J.H.2    Fu, S.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.