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Nonlinear Analysis, Theory, Methods and Applications
Volumn 64, Issue 7, 2006, Pages 1562-1577
Nodal solutions for second-order m-point boundary value problems with nonlinearities across several eigenvalues
Author keywords

Bifurcation methods; Eigenvalues; Multi point boundary value problems; Multiplicity results; Nodal zeros
Indexed keywords

BIFURCATION (MATHEMATICS); EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;
EID: 31444446374     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.07.007     Document Type: Article
Times cited : (48)
References (12)
  • 1
    • 2642577359 scopus 로고
    • Positive solutions of asymptotically linear elliptic eigenvalue problems
    • A. Ambrosetti, and P. Hess Positive solutions of asymptotically linear elliptic eigenvalue problems J. Math. Anal. Appl. 73 2 1980 411 422
    • (1980) J. Math. Anal. Appl. , vol.73 , Issue.2 , pp. 411-422
    • Ambrosetti, A.1    Hess, P.2
  • 2
    • 84966234102 scopus 로고
    • On the existence of positive solutions of ordinary differential equations
    • L.H. Erbe, and H. Wang On the existence of positive solutions of ordinary differential equations Proc. Am. Math. Soc. 120 3 1994 743 748
    • (1994) Proc. Am. Math. Soc. , vol.120 , Issue.3 , pp. 743-748
    • Erbe, L.H.1    Wang, H.2
  • 3
    • 3342898092 scopus 로고    scopus 로고
    • Positive solutions of a nonlinear three-point boundary value problem
    • R. Ma Positive solutions of a nonlinear three-point boundary value problem Electron. J. Differential Equations 1999 34 1999 1 8
    • (1999) Electron. J. Differential Equations , vol.1999 , Issue.34 , pp. 1-8
    • Ma, R.1
  • 4
    • 0042914993 scopus 로고    scopus 로고
    • Existence of positive solutions for superlinear semipositone m-point boundary-value problems
    • R. Ma Existence of positive solutions for superlinear semipositone m -point boundary-value problems Proc. Edinburgh Math. Soc. 46 2 2003 279 292
    • (2003) Proc. Edinburgh Math. Soc. , vol.46 , Issue.2 , pp. 279-292
    • Ma, R.1
  • 5
    • 7044234744 scopus 로고    scopus 로고
    • Nodal solutions for nonlinear eigenvalue problems
    • R. Ma, and B. Thompson Nodal solutions for nonlinear eigenvalue problems Nonlinear Anal. 59 2004 707 718
    • (2004) Nonlinear Anal. , vol.59 , pp. 707-718
    • Ma, R.1    Thompson, B.2
  • 6
    • 0742320790 scopus 로고    scopus 로고
    • On the existence of multiple solutions of the boundary value problem for nonlinear second-order differential equations
    • Y. Naito, and S. Tanaka On the existence of multiple solutions of the boundary value problem for nonlinear second-order differential equations Nonlinear Anal. TMA 56 4 2004 919 935
    • (2004) Nonlinear Anal. TMA , vol.56 , Issue.4 , pp. 919-935
    • Naito, Y.1    Tanaka, S.2
  • 7
    • 36448974335 scopus 로고
    • Some global results for nonlinear eigenvalue problems
    • P.H. Rabinowitz Some global results for nonlinear eigenvalue problems J. Funct. Anal. 7 1971 487 513
    • (1971) J. Funct. Anal. , vol.7 , pp. 487-513
    • Rabinowitz, P.H.1
  • 8
    • 7044261045 scopus 로고    scopus 로고
    • Infinitely many solutions of superlinear fourth order boundary value problems
    • B.P. Rynne Infinitely many solutions of superlinear fourth order boundary value problems Topol. Methods Nonlinear Anal. 19 2 2002 303 312
    • (2002) Topol. Methods Nonlinear Anal. , vol.19 , Issue.2 , pp. 303-312
    • Rynne, B.P.1
  • 9
    • 0037373875 scopus 로고    scopus 로고
    • Global bifurcation for 2mth-order boundary value problems and infinity many solutions of superlinear problems
    • B.P. Rynne Global bifurcation for 2 m th-order boundary value problems and infinity many solutions of superlinear problems J. Differential Equations 188 2003 461 472
    • (2003) J. Differential Equations , vol.188 , pp. 461-472
    • Rynne, B.P.1
  • 10
    • 33846102882 scopus 로고    scopus 로고
    • Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type
    • to appear
    • J.R.L. Webb, K.Q. Lan, Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type, Topol. Methods Nonlinear Anal., to appear.
    • Topol. Methods Nonlinear Anal.
    • Webb, J.R.L.1    Lan, K.Q.2
  • 11
    • 0035423894 scopus 로고    scopus 로고
    • Positive solutions of some three-point boundary value problems via fixed point index theory
    • J.R.L. Webb 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
  • 12
    • 4544291190 scopus 로고    scopus 로고
    • Multiple sign-changing solutions for some m-point boundary value problems
    • X. Xu Multiple sign-changing solutions for some m -point boundary value problems Electron. J. Differential Equations 89 2004 1 14
    • (2004) Electron. J. Differential Equations , vol.89 , pp. 1-14
    • Xu, X.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.