메뉴 건너뛰기




Volumn 66, Issue 8, 2007, Pages 1686-1697

Existence and multiplicity results for some three-point boundary value problems

Author keywords

Multiple solutions; Three point boundary conditions; Topological degree; Upper and lower solutions

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; NONLINEAR EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

EID: 33846655690     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2006.02.017     Document Type: Article
Times cited : (12)

References (21)
  • 1
    • 0346385922 scopus 로고    scopus 로고
    • Upper and lower solutions for singular problems with nonlinear boundary data
    • Agarwal R.P., and O'Regan D. Upper and lower solutions for singular problems with nonlinear boundary data. NoDEA Nonlinear Differential Equations Appl. 9 (2002) 419-440
    • (2002) NoDEA Nonlinear Differential Equations Appl. , vol.9 , pp. 419-440
    • Agarwal, R.P.1    O'Regan, D.2
  • 3
    • 0037107101 scopus 로고    scopus 로고
    • Application of implicit function theorems to existence of solutions to ordinary differential equations with nonlocal boundary conditions
    • Bobisud L.E., Do T.S., and Lee Y.S. Application of implicit function theorems to existence of solutions to ordinary differential equations with nonlocal boundary conditions. J. Math. Anal. Appl. 273 (2002) 512-528
    • (2002) J. Math. Anal. Appl. , vol.273 , pp. 512-528
    • Bobisud, L.E.1    Do, T.S.2    Lee, Y.S.3
  • 4
    • 0342520743 scopus 로고    scopus 로고
    • Extremal solutions of strongly nonlinear discontinuous second-order equations with nonlinear functional boundary conditions
    • Cabada A., and Pouso R.L. Extremal solutions of strongly nonlinear discontinuous second-order equations with nonlinear functional boundary conditions. Nonlinear Anal. 42 (2002) 1377-1396
    • (2002) Nonlinear Anal. , vol.42 , pp. 1377-1396
    • Cabada, A.1    Pouso, R.L.2
  • 5
    • 18244385492 scopus 로고    scopus 로고
    • Multiple solutions for three-point boundary value problem with nonlinear terms depending on the first order derivative
    • Du Z., Xue C., and Ge W. Multiple solutions for three-point boundary value problem with nonlinear terms depending on the first order derivative. Arch. Math. 84 (2005) 341-349
    • (2005) Arch. Math. , vol.84 , pp. 341-349
    • Du, Z.1    Xue, C.2    Ge, W.3
  • 6
    • 0000038518 scopus 로고
    • A multiplicity result for periodic solutions of forced nonlinear second order differential equations
    • Fabry C., Mawhin J., and Nkashama M.N. A multiplicity result for periodic solutions of forced nonlinear second order differential equations. Bull. London Math. Soc. 18 (1986) 173-180
    • (1986) Bull. London Math. Soc. , vol.18 , pp. 173-180
    • Fabry, C.1    Mawhin, J.2    Nkashama, M.N.3
  • 7
    • 0038905571 scopus 로고    scopus 로고
    • A multiplicity result for a nonlinear boundary value problem
    • Goudreau K. A multiplicity result for a nonlinear boundary value problem. J. Math. Anal. Appl. 218 (1998) 395-408
    • (1998) J. Math. Anal. Appl. , vol.218 , pp. 395-408
    • Goudreau, K.1
  • 8
    • 4644327919 scopus 로고    scopus 로고
    • Gradual loss of positivity and hidden invariant cones in a scalar heat equations
    • Guidotti P., and Merino S. Gradual loss of positivity and hidden invariant cones in a scalar heat equations. Differential Integral Equations 13 (2000) 1551-1568
    • (2000) Differential Integral Equations , vol.13 , pp. 1551-1568
    • Guidotti, P.1    Merino, S.2
  • 9
    • 1242322174 scopus 로고    scopus 로고
    • Positive solutions for three-point boundary value problems with dependence on the first derivative
    • Guo Y., and Ge W. Positive solutions for three-point boundary value problems with dependence on the first derivative. J. Math. Anal. Appl. 290 (2004) 291-301
    • (2004) J. Math. Anal. Appl. , vol.290 , pp. 291-301
    • Guo, Y.1    Ge, W.2
  • 10
    • 0001070154 scopus 로고
    • Solvability of a three-point boundary value problem for a second order ordinary differential equation
    • Gupta C.P. Solvability of a three-point boundary value problem for a second order ordinary differential equation. J. Math. Anal. Appl. 168 (1992) 540-551
    • (1992) J. Math. Anal. Appl. , vol.168 , pp. 540-551
    • Gupta, C.P.1
  • 11
    • 0034692193 scopus 로고    scopus 로고
    • Existence of multiple solutions for second order boundary value problems
    • Henderson J., and Thompson H.B. Existence of multiple solutions for second order boundary value problems. J. Differential Equations 166 (2000) 443-454
    • (2000) J. Differential Equations , vol.166 , pp. 443-454
    • Henderson, J.1    Thompson, H.B.2
  • 12
    • 33846697886 scopus 로고    scopus 로고
    • G. Infate, J.R.L. Webb, Nonlinear nonlocal boundary value problems, Proc. Edinb. Math. Soc. (in press)
  • 13
    • 30944433189 scopus 로고    scopus 로고
    • Existence of at least three solutions of a second order three point boundary value problem
    • Ali Khan R., and Webb J.R.L. Existence of at least three solutions of a second order three point boundary value problem. Nonlinear Anal. 64 (2006) 1356-1366
    • (2006) Nonlinear Anal. , vol.64 , pp. 1356-1366
    • Ali Khan, R.1    Webb, J.R.L.2
  • 14
    • 0000394603 scopus 로고
    • Multiple positive fixed points of nonlinear operators on ordered Banach spaces
    • Leggett R.W., and Williams L.R. Multiple positive fixed points of nonlinear operators on ordered Banach spaces. Indiana Univ. Math. J. 28 (1979) 673-688
    • (1979) Indiana Univ. Math. J. , vol.28 , pp. 673-688
    • Leggett, R.W.1    Williams, L.R.2
  • 15
    • 0000204248 scopus 로고
    • A generalized upper and lower solutions method and multiplicity results for periodic solutions of nonlinear first order differential equations
    • Nkashama M.N. A generalized upper and lower solutions method and multiplicity results for periodic solutions of nonlinear first order differential equations. J. Math. Anal. Appl. 140 (1989) 381-395
    • (1989) J. Math. Anal. Appl. , vol.140 , pp. 381-395
    • Nkashama, M.N.1
  • 16
    • 0037658906 scopus 로고    scopus 로고
    • Positive solutions of a nonlinear three-point boundary value problems
    • Ma R., and Wang H. Positive solutions of a nonlinear three-point boundary value problems. J. Math. Anal. Appl. 279 (2003) 216-227
    • (2003) J. Math. Anal. Appl. , vol.279 , pp. 216-227
    • Ma, R.1    Wang, H.2
  • 17
    • 0001758037 scopus 로고
    • Multiplicity results for four point boundary value problems
    • Rachunkova I. Multiplicity results for four point boundary value problems. Nonlinear Anal. 18 (1992) 497-505
    • (1992) Nonlinear Anal. , vol.18 , pp. 497-505
    • Rachunkova, I.1
  • 18
    • 0348233980 scopus 로고    scopus 로고
    • Three positive solutions of a nonlinear three-point boundary value problem
    • Sun J.-P., Li W.-T., and Zhao Y.-H. Three positive solutions of a nonlinear three-point boundary value problem. J. Math. Anal. Appl. 288 (2003) 708-716
    • (2003) J. Math. Anal. Appl. , vol.288 , pp. 708-716
    • Sun, J.-P.1    Li, W.-T.2    Zhao, Y.-H.3
  • 19
    • 1542511220 scopus 로고    scopus 로고
    • Multiplicity results for positive solutions of some semi-positone three-point boundary value problems
    • Xu X. Multiplicity results for positive solutions of some semi-positone three-point boundary value problems. J. Math. Anal. Appl. 291 (2004) 673-689
    • (2004) J. Math. Anal. Appl. , vol.291 , pp. 673-689
    • Xu, X.1
  • 20
    • 0035423894 scopus 로고    scopus 로고
    • Positive solutions of some three point boundary value problems via fixed point index theory
    • Webb J.R.L. Positive solutions of some three point boundary value problems via fixed point index theory. Nonlinear Anal. 47 (2001) 4319-4332
    • (2001) Nonlinear Anal. , vol.47 , pp. 4319-4332
    • Webb, J.R.L.1
  • 21
    • 23244464157 scopus 로고    scopus 로고
    • Remarks on positive solutions of some three point boundary value problems
    • Dynamical Systems and Differential Equations (Wilmington, NC, 2002)
    • Webb J.R.L. Remarks on positive solutions of some three point boundary value problems. Dynamical Systems and Differential Equations (Wilmington, NC, 2002). Discrete Contin. Dyn. Syst. Suppl. (2003) 905-915
    • (2003) Discrete Contin. Dyn. Syst. , Issue.SUPPL , pp. 905-915
    • Webb, J.R.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.