메뉴 건너뛰기




Volumn 326, Issue 2, 2007, Pages 1310-1327

Symmetric positive solutions of nonlinear boundary value problems

Author keywords

Boundary value problems; Cone; Existence; Fixed point theorem; Symmetric positive solutions

Indexed keywords


EID: 33750605800     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2006.03.064     Document Type: Article
Times cited : (15)

References (26)
  • 2
    • 0242302723 scopus 로고    scopus 로고
    • Singular Lidstone boundary value problem with given maximal values for solutions
    • Agarwal R.P., O'Regan D., and Staněk S. Singular Lidstone boundary value problem with given maximal values for solutions. Nonlinear Anal. 55 (2003) 859-881
    • (2003) Nonlinear Anal. , vol.55 , pp. 859-881
    • Agarwal, R.P.1    O'Regan, D.2    Staněk, S.3
  • 4
    • 0002377075 scopus 로고    scopus 로고
    • Three symmetric positive solutions for a second-order boundary value problem
    • Avery R.I., and Henderson J. Three symmetric positive solutions for a second-order boundary value problem. Appl. Math. Lett. 13 (2000) 1-7
    • (2000) Appl. Math. Lett. , vol.13 , pp. 1-7
    • Avery, R.I.1    Henderson, J.2
  • 5
    • 0035426227 scopus 로고    scopus 로고
    • Nonlinear boundary value problems with multiple solutions
    • Baxley J.V., and Haywood L.J. Nonlinear boundary value problems with multiple solutions. Nonlinear Anal. 47 (2001) 1187-1198
    • (2001) Nonlinear Anal. , vol.47 , pp. 1187-1198
    • Baxley, J.V.1    Haywood, L.J.2
  • 6
    • 0242677006 scopus 로고    scopus 로고
    • Nonlinear higher order boundary value problems with multiple positive solutions
    • Baxley J.V., and Houmand C.R. Nonlinear higher order boundary value problems with multiple positive solutions. J. Math. Anal. Appl. 286 (2003) 682-691
    • (2003) J. Math. Anal. Appl. , vol.286 , pp. 682-691
    • Baxley, J.V.1    Houmand, C.R.2
  • 7
    • 0001109072 scopus 로고    scopus 로고
    • Triple positive solutions and dependence on higher order derivatives
    • Davis J.M., Eloe P.W., and Henderson J. Triple positive solutions and dependence on higher order derivatives. J. Math. Anal. Appl. 237 (1999) 710-720
    • (1999) J. Math. Anal. Appl. , vol.237 , pp. 710-720
    • Davis, J.M.1    Eloe, P.W.2    Henderson, J.3
  • 8
    • 0035285502 scopus 로고    scopus 로고
    • Multiplicity of positive solutions for higher order Sturm-Liouville problems
    • Davis J.M., Erbe L.H., and Henderson J. Multiplicity of positive solutions for higher order Sturm-Liouville problems. Rocky Mountain J. Math. 31 (2001) 169-184
    • (2001) Rocky Mountain J. Math. , vol.31 , pp. 169-184
    • Davis, J.M.1    Erbe, L.H.2    Henderson, J.3
  • 9
    • 0034668467 scopus 로고    scopus 로고
    • General Lidstone problems: Multiplicity and symmetry of solutions
    • Davis J.M., Henderson J., and Wong P.J.Y. General Lidstone problems: Multiplicity and symmetry of solutions. J. Math. Anal. Appl. 251 (2000) 527-548
    • (2000) J. Math. Anal. Appl. , vol.251 , pp. 527-548
    • Davis, J.M.1    Henderson, J.2    Wong, P.J.Y.3
  • 12
    • 84966234102 scopus 로고
    • On the existence of positive solutions of ordinary differential equations
    • Erbe L.H., and Wang H. On the existence of positive solutions of ordinary differential equations. Proc. Amer. Math. Soc. 120 (1994) 743-748
    • (1994) Proc. Amer. Math. Soc. , vol.120 , pp. 743-748
    • Erbe, L.H.1    Wang, H.2
  • 13
    • 0037321165 scopus 로고    scopus 로고
    • Multiple symmetric positive solutions of a class of boundary value problems for higher order ordinary differential equations
    • Graef J.R., Qian C., and Yang B. Multiple symmetric positive solutions of a class of boundary value problems for higher order ordinary differential equations. Proc. Amer. Math. Soc. 131 (2003) 577-585
    • (2003) Proc. Amer. Math. Soc. , vol.131 , pp. 577-585
    • Graef, J.R.1    Qian, C.2    Yang, B.3
  • 14
    • 85027234446 scopus 로고    scopus 로고
    • On a nonlinear boundary value problem for fourth order equations
    • Graef J.R., and Yang B. On a nonlinear boundary value problem for fourth order equations. Appl. Anal. 72 (1999) 439-448
    • (1999) Appl. Anal. , vol.72 , pp. 439-448
    • Graef, J.R.1    Yang, B.2
  • 15
    • 84987744774 scopus 로고    scopus 로고
    • Boundary value problems for 2nth order nonlinear ordinary differential equations
    • Graef J.R., and Yang B. Boundary value problems for 2nth order nonlinear ordinary differential equations. Appl. Anal. 79 (2001) 503-517
    • (2001) Appl. Anal. , vol.79 , pp. 503-517
    • Graef, J.R.1    Yang, B.2
  • 17
    • 0000048891 scopus 로고    scopus 로고
    • Multiple solutions for 2mth order Sturm-Liouville boundary value problems on a measure chain
    • Henderson J. Multiple solutions for 2mth order Sturm-Liouville boundary value problems on a measure chain. J. Difference Equ. Appl. 6 (2000) 417-429
    • (2000) J. Difference Equ. Appl. , vol.6 , pp. 417-429
    • Henderson, J.1
  • 18
    • 23044520154 scopus 로고    scopus 로고
    • Multiple symmetric positive solutions for a second order boundary value problem
    • Henderson J., and Thompson H.B. Multiple symmetric positive solutions for a second order boundary value problem. Proc. Amer. Math. Soc. 128 (2000) 2373-2379
    • (2000) Proc. Amer. Math. Soc. , vol.128 , pp. 2373-2379
    • Henderson, J.1    Thompson, H.B.2
  • 19
    • 0037334272 scopus 로고    scopus 로고
    • Even order nonlinear eigenvalue problems on a measure chain
    • Kong L., and Kong Q. Even order nonlinear eigenvalue problems on a measure chain. Nonlinear Anal. 52 (2003) 1891-1909
    • (2003) Nonlinear Anal. , vol.52 , pp. 1891-1909
    • Kong, L.1    Kong, Q.2
  • 20
    • 21244431644 scopus 로고    scopus 로고
    • Positive solutions of higher-order boundary value problems
    • Kong L., and Kong Q. Positive solutions of higher-order boundary value problems. Proc. Edinb. Math. Soc. (2) 48 (2005) 445-464
    • (2005) Proc. Edinb. Math. Soc. (2) , vol.48 , pp. 445-464
    • Kong, L.1    Kong, Q.2
  • 21
    • 0036681211 scopus 로고    scopus 로고
    • Positive solutions of boundary value problems for third-order functional difference equations
    • Kong L., Kong Q., and Zhang B.G. Positive solutions of boundary value problems for third-order functional difference equations. Comput. Math. Appl. 44 (2002) 481-489
    • (2002) Comput. Math. Appl. , vol.44 , pp. 481-489
    • Kong, L.1    Kong, Q.2    Zhang, B.G.3
  • 23
    • 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
  • 24
    • 33750606444 scopus 로고    scopus 로고
    • D. Ma, W. Ge, Multiple symmetric positive solutions of fourth-order two point boundary value problems, preprint
  • 26
    • 0041351895 scopus 로고    scopus 로고
    • Existence of multiple symmetric positive solutions of higher order Lidstone problems
    • Zhang B.G., 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.G.1    Liu, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.