메뉴 건너뛰기




Volumn 202, Issue 1, 2008, Pages 427-434

On the nonlinear elastic beam equation

Author keywords

Beam equation; Continuous dependence on parameters; Dirichlet problem; Dual variational method

Indexed keywords

BOUNDARY VALUE PROBLEMS; NONLINEAR EQUATIONS;

EID: 46749095591     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2008.02.005     Document Type: Article
Times cited : (4)

References (15)
  • 1
    • 38749098981 scopus 로고    scopus 로고
    • Existence of solutions for some nonlinear beam equations
    • Amster P., and Cárdenas Alzate P.P. Existence of solutions for some nonlinear beam equations. Port. Math. (N.S.) 63 1 (2006) 113-125
    • (2006) Port. Math. (N.S.) , vol.63 , Issue.1 , pp. 113-125
    • Amster, P.1    Cárdenas Alzate, P.P.2
  • 2
    • 0037098593 scopus 로고    scopus 로고
    • On positive solutions of some nonlinear fourth-order beam equations
    • Bai Z., and Wang H. On positive solutions of some nonlinear fourth-order beam equations. J. Math. Anal. Appl. 270 2 (2002) 357-368
    • (2002) J. Math. Anal. Appl. , vol.270 , Issue.2 , pp. 357-368
    • Bai, Z.1    Wang, H.2
  • 4
    • 0036347794 scopus 로고    scopus 로고
    • On a generalization of Krasnoselskii's theorem
    • Idczak D., and Rogowski A. On a generalization of Krasnoselskii's theorem. J. Aust. Math. Soc. 72 3 (2002) 389-394
    • (2002) J. Aust. Math. Soc. , vol.72 , Issue.3 , pp. 389-394
    • Idczak, D.1    Rogowski, A.2
  • 5
    • 21244497282 scopus 로고    scopus 로고
    • Existence and multiplicity of solutions of a kind of fourth order boundary value problem
    • Li F., Zhang Q., and Liang Z. Existence and multiplicity of solutions of a kind of fourth order boundary value problem. Nonlinear Anal. 62 5 (2005) 803-816
    • (2005) Nonlinear Anal. , vol.62 , Issue.5 , pp. 803-816
    • Li, F.1    Zhang, Q.2    Liang, Z.3
  • 6
    • 12844255236 scopus 로고    scopus 로고
    • Positive solutions of the nonlinear fourth-order beam equation with three parameters
    • Liu X.-L., and Li W.-T. Positive solutions of the nonlinear fourth-order beam equation with three parameters. J. Math. Anal. Appl. 303 1 (2005) 150-163
    • (2005) J. Math. Anal. Appl. , vol.303 , Issue.1 , pp. 150-163
    • Liu, X.-L.1    Li, W.-T.2
  • 7
    • 46749147384 scopus 로고    scopus 로고
    • J. Mawhin, Problèmes de Dirichlet variationnels non linéaires, Les Presses de l'Université de Montréal, 1987.
    • J. Mawhin, Problèmes de Dirichlet variationnels non linéaires, Les Presses de l'Université de Montréal, 1987.
  • 8
    • 5444251241 scopus 로고    scopus 로고
    • Positive solutions for a beam equation on a nonlinear elastic foundation
    • Ma T.F. Positive solutions for a beam equation on a nonlinear elastic foundation. Math. Comput. Model. 39 11-12 (2004) 1195-1201
    • (2004) Math. Comput. Model. , vol.39 , Issue.11-12 , pp. 1195-1201
    • Ma, T.F.1
  • 9
    • 0035661545 scopus 로고    scopus 로고
    • On the new variational principles and duality for periodic solutions of Lagrange equations with superlinear nonlinearities
    • Nowakowski A., and Rogowski A. On the new variational principles and duality for periodic solutions of Lagrange equations with superlinear nonlinearities. J. Math. Anal. Appl. 264 1 (2001) 168-181
    • (2001) J. Math. Anal. Appl. , vol.264 , Issue.1 , pp. 168-181
    • Nowakowski, A.1    Rogowski, A.2
  • 10
    • 0007228554 scopus 로고
    • Boundary value problems for some fourth order ordinary differential equations
    • Sanchez L. Boundary value problems for some fourth order ordinary differential equations. Appl. Anal. 38 3 (1990) 161-177
    • (1990) Appl. Anal. , vol.38 , Issue.3 , pp. 161-177
    • Sanchez, L.1
  • 11
    • 0242510850 scopus 로고    scopus 로고
    • Bounded solutions to superlinear ODEs: a variational approach
    • Verzini G. Bounded solutions to superlinear ODEs: a variational approach. Nonlinearity 16 6 (2003) 2013-2028
    • (2003) Nonlinearity , vol.16 , Issue.6 , pp. 2013-2028
    • Verzini, G.1
  • 12
    • 0001124708 scopus 로고
    • On the continuous dependance on parameters of solutions of the Dirichlet problem. Part I. Coercive case, Part II. The case of saddle points
    • Walczak S. On the continuous dependance on parameters of solutions of the Dirichlet problem. Part I. Coercive case, Part II. The case of saddle points. Bull. Classe Sci. Acad. Roy. Beligique 6 (1995) 247-273
    • (1995) Bull. Classe Sci. Acad. Roy. Beligique , vol.6 , pp. 247-273
    • Walczak, S.1
  • 13
    • 23244454587 scopus 로고    scopus 로고
    • Positive solutions for the beam equation under certain boundary conditions
    • Yang B. Positive solutions for the beam equation under certain boundary conditions. Electron. J. Differ. Equat. 78 (2005)
    • (2005) Electron. J. Differ. Equat. , vol.78
    • Yang, B.1
  • 14
    • 46749158100 scopus 로고    scopus 로고
    • Solvability of an elastic beam equation with Caratheodory function
    • Yao Q. Solvability of an elastic beam equation with Caratheodory function. Math. Appl. (Wuhan) 17 3 (2004) 389-392
    • (2004) Math. Appl. (Wuhan) , vol.17 , Issue.3 , pp. 389-392
    • Yao, Q.1
  • 15
    • 27544451616 scopus 로고    scopus 로고
    • Existence, multiplicity and infinite solvability of positive solutions to a nonlinear fourth-order periodic boundary value problem
    • Yao Q. Existence, multiplicity and infinite solvability of positive solutions to a nonlinear fourth-order periodic boundary value problem. Nonlinear Anal. 63 2 (2005) 237-246
    • (2005) Nonlinear Anal. , vol.63 , Issue.2 , pp. 237-246
    • Yao, Q.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.