메뉴 건너뛰기




Volumn 328, Issue 1, 2007, Pages 690-698

Existence of at least three solutions of nonlinear three point boundary value problems with super-quadratic growth

Author keywords

Multiple solutions; Three point problem; Topological degree; Upper and lower solutions

Indexed keywords


EID: 33845891624     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2006.05.074     Document Type: Article
Times cited : (14)

References (19)
  • 1
    • 9644262688 scopus 로고    scopus 로고
    • Multiplicity results for some second-order four-point boundary-value problems
    • Bai Z., Ge W., and Wang Y. Multiplicity results for some second-order four-point boundary-value problems. Nonlinear Anal. 60 (2005) 491-500
    • (2005) Nonlinear Anal. , vol.60 , pp. 491-500
    • Bai, Z.1    Ge, W.2    Wang, Y.3
  • 3
    • 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
  • 4
    • 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
  • 5
    • 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
  • 6
    • 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
  • 7
    • 13844295441 scopus 로고    scopus 로고
    • A priori estimates for the existence of a solution for a multi-point boundary value problem
    • Gupta C.P., and Trofimchuck S. A priori estimates for the existence of a solution for a multi-point boundary value problem. J. Inequal. Appl. 5 (2000) 351-365
    • (2000) J. Inequal. Appl. , vol.5 , pp. 351-365
    • Gupta, C.P.1    Trofimchuck, S.2
  • 8
    • 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
  • 9
    • 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
  • 10
    • 30944433189 scopus 로고    scopus 로고
    • Existence of at least three solutions of a second order three point boundary value problem
    • Khan R.A., 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
    • Khan, R.A.1    Webb, J.R.L.2
  • 11
    • 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
  • 12
    • 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
  • 13
    • 10644269829 scopus 로고    scopus 로고
    • Global behavior of positive solutions of nonlinear three-point boundary-value problems
    • Ma R., and Thompson B. Global behavior of positive solutions of nonlinear three-point boundary-value problems. Nonlinear Anal. 60 (2005) 685-701
    • (2005) Nonlinear Anal. , vol.60 , pp. 685-701
    • Ma, R.1    Thompson, B.2
  • 14
    • 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
  • 15
    • 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
  • 16
    • 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
  • 17
    • 0035427441 scopus 로고    scopus 로고
    • Three point boundary value problems for second order ordinary differential equations
    • Thompson H.B., and Tisdell C. Three point boundary value problems for second order ordinary differential equations. Math. Comput. Modelling 34 (2001) 311-318
    • (2001) Math. Comput. Modelling , vol.34 , pp. 311-318
    • Thompson, H.B.1    Tisdell, C.2
  • 18
    • 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
  • 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) 708-716
    • (2004) J. Math. Anal. Appl. , vol.291 , pp. 708-716
    • Xu, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.