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Volumn 67, Issue 6, 2007, Pages 1704-1709

The upper and lower solution method for some fourth-order boundary value problems

Author keywords

Fourth order boundary value problem; Integral differential equation; Lower and upper solutions; Nagumo type condition

Indexed keywords

DIFFERENTIAL EQUATIONS; INTEGRAL EQUATIONS; PROBLEM SOLVING;

EID: 34247380395     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2006.08.009     Document Type: Article
Times cited : (77)

References (14)
  • 1
    • 0001414103 scopus 로고
    • Existence and uniqueness theorems for fourth-order boundary value problems
    • Aftabizadeh A.R. 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
    • Agarwal R.P. On fourth-order boundary value problems arising in beam analysis. Differential Integral Equations 2 (1989) 91-110
    • (1989) Differential Integral Equations , vol.2 , pp. 91-110
    • Agarwal, R.P.1
  • 3
    • 0034238776 scopus 로고    scopus 로고
    • The method of lower and upper solutions for a bending of an elastic beam equation
    • Bai Z.B. The method of lower and upper solutions for a bending of an elastic beam equation. J. Math. Anal. Appl. 248 (2000) 195-202
    • (2000) J. Math. Anal. Appl. , vol.248 , pp. 195-202
    • Bai, Z.B.1
  • 4
    • 0037098593 scopus 로고    scopus 로고
    • On the positive solutions of some nonlinear fourth-order beam equations
    • Bai Z.B., and Wang H.Y. On the positive solutions of some nonlinear fourth-order beam equations. J. Math. Anal. Appl. 270 (2002) 357-368
    • (2002) J. Math. Anal. Appl. , vol.270 , pp. 357-368
    • Bai, Z.B.1    Wang, H.Y.2
  • 5
    • 0000934317 scopus 로고
    • The method of lower and upper solutions for second, third, fourth and higher order boundary value problems
    • Cabada A. The method of lower and upper solutions for second, third, fourth and higher order boundary value problems. J. Math. Anal. Appl. 185 (1994) 302-320
    • (1994) J. Math. Anal. Appl. , vol.185 , pp. 302-320
    • Cabada, A.1
  • 6
    • 85016423744 scopus 로고
    • Nonresonance conditions for fourth-order nonlinear boundary value problems
    • De Coster C., Fabry C., and Munyamarere F. Nonresonance conditions for fourth-order nonlinear boundary value problems. Int. J. Math. Sci. 17 (1994) 725-740
    • (1994) Int. J. Math. Sci. , vol.17 , pp. 725-740
    • De Coster, C.1    Fabry, C.2    Munyamarere, F.3
  • 7
    • 0000562237 scopus 로고
    • Upper and lower solutions, Ambrosetti-Prodi problem and positive solutions for fourth-order O. D. E
    • De Coster C., and Sanchez L. Upper and lower solutions, Ambrosetti-Prodi problem and positive solutions for fourth-order O. D. E. Riv. Math. Pura. Appl. 14 (1994) 1129-1138
    • (1994) Riv. Math. Pura. Appl. , vol.14 , pp. 1129-1138
    • De Coster, C.1    Sanchez, L.2
  • 8
    • 84968491364 scopus 로고
    • Existence for a fourth-order boundary value problem under a two parameter nonresonance condition
    • Del Pino M.A., and Manasevich R.F. 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
  • 9
    • 0037139624 scopus 로고    scopus 로고
    • Upper and lower solution methods for fully nonlinear boundary value problems
    • Ehme J., Eloe P.W., and Henderson J. Upper and lower solution methods for fully nonlinear boundary value problems. J. Differential Equations 180 (2001) 51-64
    • (2001) J. Differential Equations , vol.180 , pp. 51-64
    • Ehme, J.1    Eloe, P.W.2    Henderson, J.3
  • 10
    • 84950192244 scopus 로고
    • Existence and uniqueness theorem for a bending of an elastic beam equation
    • Gupta C.P. Existence and uniqueness theorem for a bending of an elastic beam equation. Appl. Anal. 26 (1988) 289-304
    • (1988) Appl. Anal. , vol.26 , pp. 289-304
    • Gupta, C.P.1
  • 11
    • 0037058264 scopus 로고    scopus 로고
    • A monotone method for constructing extremal solutions to fourth-order periodic boundary value problems
    • Jiang D.Q., Gao W.J., and Wan A. A monotone method for constructing extremal solutions to fourth-order periodic boundary value problems. Appl. Math. Comput. 132 (2002) 411-421
    • (2002) Appl. Math. Comput. , vol.132 , pp. 411-421
    • Jiang, D.Q.1    Gao, W.J.2    Wan, A.3
  • 12
    • 0031276985 scopus 로고    scopus 로고
    • The method of lower and upper solutions for fourth-order two-point boundary value problems
    • Ma R.Y., Zhang J.H., and Fu S.M. 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
  • 13
    • 0021371823 scopus 로고
    • Fourth-order two-point boundary value problems; estimates by two side bounds
    • Schroder J. 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
    • 84966202860 scopus 로고
    • A uniqueness theorem for a boundary value problem
    • Usmani R.A. 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.