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Volumn 66, Issue 6, 2007, Pages 1225-1245

A class of 2 n th-order singular boundary value problems

Author keywords

2 n th order; A partial ordering; Lower and upper solution; Maximum principle; Positive solution; Singular boundary value problem

Indexed keywords

LINEAR EQUATIONS; NUMBER THEORY; PARTIAL DIFFERENTIAL EQUATIONS; PRINCIPAL COMPONENT ANALYSIS; PROBLEM SOLVING; THEOREM PROVING;

EID: 33845896549     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2006.01.014     Document Type: Article
Times cited : (9)

References (30)
  • 2
    • 49249143125 scopus 로고
    • A nonlinear singular boundary value problem
    • Taliaferro S.D. A nonlinear singular boundary value problem. Nonlinear Anal. 3 (1979) 897-904
    • (1979) Nonlinear Anal. , vol.3 , pp. 897-904
    • Taliaferro, S.D.1
  • 3
    • 0000934319 scopus 로고
    • Positive solutions of singular sublinear Emden-Fowler boundary value problems
    • Zhang Y. Positive solutions of singular sublinear Emden-Fowler boundary value problems. J. Math. Anal. Appl. 185 (1994) 215-222
    • (1994) J. Math. Anal. Appl. , vol.185 , pp. 215-222
    • Zhang, Y.1
  • 4
    • 0031185491 scopus 로고    scopus 로고
    • Singular Dirichlet boundary value problems-I. Superlinear and nonresonance case
    • O'Regan D. Singular Dirichlet boundary value problems-I. Superlinear and nonresonance case. Nonlinear Anal. 29 2 (1997) 221-245
    • (1997) Nonlinear Anal. , vol.29 , Issue.2 , pp. 221-245
    • O'Regan, D.1
  • 5
    • 0041917637 scopus 로고    scopus 로고
    • Multiplicity results for singular conjugate, focal, and (N,P) problems
    • Agarwal R.P., and O'Regan D. Multiplicity results for singular conjugate, focal, and (N,P) problems. J. Differential Equations 170 (2001) 142-156
    • (2001) J. Differential Equations , vol.170 , pp. 142-156
    • Agarwal, R.P.1    O'Regan, D.2
  • 6
    • 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 (2002) 51-64
    • (2002) J. Differential Equations , vol.180 , pp. 51-64
    • Ehme, J.1    Eloe, P.W.2    Henderson, J.3
  • 7
    • 0034238776 scopus 로고    scopus 로고
    • The method of lower and upper solutions for a bending of an elastic beam equation
    • Bai Z. 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.1
  • 8
    • 23044520244 scopus 로고    scopus 로고
    • On fourth order elliptic boundary value problems
    • Pao C.V. On fourth order elliptic boundary value problems. Proc. Amer. Math. Soc. 128 (2000) 1023-1030
    • (2000) Proc. Amer. Math. Soc. , vol.128 , pp. 1023-1030
    • Pao, C.V.1
  • 9
    • 33947175349 scopus 로고
    • On fourth order boundary value problems arising in beam analysis
    • Agarwal R. 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.1
  • 10
    • 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
  • 11
    • 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. Internat. J. Math. Sci. 17 (1994) 725-740
    • (1994) Internat. J. Math. Sci. , vol.17 , pp. 725-740
    • De Coster, C.1    Fabry, C.2    Munyamarere, F.3
  • 12
    • 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. Mat. Pura Appl. 14 (1994) 1129-1138
    • (1994) Riv. Mat. Pura Appl. , vol.14 , pp. 1129-1138
    • De Coster, C.1    Sanchez, L.2
  • 13
    • 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
  • 14
    • 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
  • 15
    • 84963428231 scopus 로고
    • A maximum principle for fourth-order ordinary differential equations
    • Korman P. 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
  • 16
    • 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
  • 17
    • 84966202860 scopus 로고
    • A uniqueness theorem for a boundary value problems
    • Usmani R.A. A uniqueness theorem for a boundary value problems. Proc. Amer. Math. Soc. 77 (1979) 327-335
    • (1979) Proc. Amer. Math. Soc. , vol.77 , pp. 327-335
    • Usmani, R.A.1
  • 18
    • 0021371823 scopus 로고
    • Fourth order two-point boundary value problems; estimates by two-sided bounds
    • Schroder J. Fourth order two-point boundary value problems; estimates by two-sided bounds. Nonlinear Anal. 8 2 (1984) 107-114
    • (1984) Nonlinear Anal. , vol.8 , Issue.2 , pp. 107-114
    • Schroder, J.1
  • 19
    • 38249027575 scopus 로고
    • Existence and uniqueness results for the bending of an elastic beam equation at resonance
    • Gupta C.P. Existence and uniqueness results for the 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
  • 20
    • 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
  • 21
    • 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
  • 22
    • 0000408432 scopus 로고    scopus 로고
    • (4) (t) - λ h (t) f (u (t)) = 0
    • (in Chinese)
    • (4) (t) - λ h (t) f (u (t)) = 0. Chinese Ann. Math. Ser. A 20 (1999) 575-578 (in Chinese)
    • (1999) Chinese Ann. Math. Ser. A , vol.20 , pp. 575-578
    • Yao, Q.L.1    Bai, Z.B.2
  • 23
    • 0000270264 scopus 로고    scopus 로고
    • Positive solutions of singular boundary value problems of fourth order differential equations
    • (in Chinese)
    • Wei Z. Positive solutions of singular boundary value problems of fourth order differential equations. Math. Sin. 42 4 (1999) 715-722 (in Chinese)
    • (1999) Math. Sin. , vol.42 , Issue.4 , pp. 715-722
    • Wei, Z.1
  • 24
    • 22944492537 scopus 로고    scopus 로고
    • The Existence of two positive solutions of singular boundary value problems of fourth order differential equations
    • (in Chinese)
    • Pang C.C., and Wei Z. The Existence of two positive solutions of singular boundary value problems of fourth order differential equations. Math. Sin. 46 2 (2003) 403-410 (in Chinese)
    • (2003) Math. Sin. , vol.46 , Issue.2 , pp. 403-410
    • Pang, C.C.1    Wei, Z.2
  • 25
    • 0012169062 scopus 로고    scopus 로고
    • Existence of positive solutions of fourth order singular boundary value problems
    • (in Chinese)
    • Zhang B.G., and Kong L.J. Existence of positive solutions of fourth order singular boundary value problems. Chinese Ann. Math. Ser. A 22 (2001) 397-402 (in Chinese)
    • (2001) Chinese Ann. Math. Ser. A , vol.22 , pp. 397-402
    • Zhang, B.G.1    Kong, L.J.2
  • 26
    • 0037431452 scopus 로고    scopus 로고
    • Existence of solutions for 2n-order boundary value problem
    • Yang X. Existence of solutions for 2n-order boundary value problem. Appl. Math. Comput. 137 (2003) 77-87
    • (2003) Appl. Math. Comput. , vol.137 , pp. 77-87
    • Yang, X.1
  • 27
    • 0038182950 scopus 로고    scopus 로고
    • Solutions of 2nth Lidstone boundary value problem and dependence on higher order derivatives
    • Bai Z., and Ge W. Solutions of 2nth Lidstone boundary value problem 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.1    Ge, W.2
  • 28
    • 0041351895 scopus 로고    scopus 로고
    • Existence of multiple symmetric positive solutions of higher order Lidstone problems
    • Zhang B., and Liu X. Existence of multiple symmetric positive solutions of higher order Lidstone problems. J. Math. Anal. Appl. 284 (2003) 672-689
    • (2003) J. Math. Anal. Appl. , vol.284 , pp. 672-689
    • Zhang, B.1    Liu, X.2
  • 29
    • 0037300495 scopus 로고    scopus 로고
    • Positive solutions of even higher-order singular sup-linear boundary value problems
    • Shi G., and Chen S. Positive solutions of even higher-order singular sup-linear boundary value problems. Comput. Math. Appl. 45 (2003) 593-603
    • (2003) Comput. Math. Appl. , vol.45 , pp. 593-603
    • Shi, G.1    Chen, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.