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Amster, P.; Cárdenas Alzate, P.P. "A shooting method for a nonlinear beam equation" (2008) Nonlinear Analysis, Theory, Methods and Applications. 68(7):2072-2078
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Abstract:

We study the existence of solutions for a nonlinear fourth-order ODE with nonlinear boundary condition that arises in beam theory. Using a shooting type argument, we prove the existence of at least one solution of the problem. © 2007 Elsevier Ltd. All rights reserved.

Registro:

Documento: Artículo
Título:A shooting method for a nonlinear beam equation
Autor:Amster, P.; Cárdenas Alzate, P.P.
Filiación:FCEyN - Departamento, Matemática - Universidad de Buenos Aires, Ciudad Universitaria, Pabellon I, 1428 Buenos Aires, Argentina
CONICET, Argentina
Departamento de Matemáticas - Universidad Tecnológica, Pereira, Colombia
Palabras clave:Boundary conditions; Numerical methods; Ordinary differential equations; Problem solving; Beam theory; Nonlinear boundary conditions; Shooting methods; Nonlinear equations
Año:2008
Volumen:68
Número:7
Página de inicio:2072
Página de fin:2078
DOI: http://dx.doi.org/10.1016/j.na.2007.01.032
Título revista:Nonlinear Analysis, Theory, Methods and Applications
Título revista abreviado:Nonlinear Anal Theory Methods Appl
ISSN:0362546X
CODEN:NOAND
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v68_n7_p2072_Amster

Referencias:

  • Amster, P., Cárdenas Alzate, P.P., Existence of solutions for some nonlinear beam equations (2006) Portugaliae Mathematica, 63 (fasc. 1), pp. 113-125
  • Grossinho, M., Ma, T.F., Symmetric equilibria for a beam with a nonlinear elastic foundation (1994) Portugaliae Mathematica, 51, pp. 375-393
  • Grossinho, M., Tersian, S., The dual variational principle and equilibria for a beam resting on a discontinuous nonlinear elastic foundation (2000) Nonlinear Analysis. Theory, Methods & Applications, 41, pp. 417-431
  • Ma, T.F., Existence results for a model of nonlinear beam on elastic bearings (2000) Applied Mathematical Letters, 13, pp. 11-15
  • Mawhin, J., Topological degree methods in nonlinear boundary value problems (1979) NSF-CBMS Regional Conference in Mathematics, 40. , American Mathematical Society, Providence, RI
  • Nagumo, M., Uber die differentialgleichung y″ = f (t, y, y′) (1937) Proceedings of the Physical and Mathematical Society of Japan, 19, pp. 861-866

Citas:

---------- APA ----------
Amster, P. & Cárdenas Alzate, P.P. (2008) . A shooting method for a nonlinear beam equation. Nonlinear Analysis, Theory, Methods and Applications, 68(7), 2072-2078.
http://dx.doi.org/10.1016/j.na.2007.01.032
---------- CHICAGO ----------
Amster, P., Cárdenas Alzate, P.P. "A shooting method for a nonlinear beam equation" . Nonlinear Analysis, Theory, Methods and Applications 68, no. 7 (2008) : 2072-2078.
http://dx.doi.org/10.1016/j.na.2007.01.032
---------- MLA ----------
Amster, P., Cárdenas Alzate, P.P. "A shooting method for a nonlinear beam equation" . Nonlinear Analysis, Theory, Methods and Applications, vol. 68, no. 7, 2008, pp. 2072-2078.
http://dx.doi.org/10.1016/j.na.2007.01.032
---------- VANCOUVER ----------
Amster, P., Cárdenas Alzate, P.P. A shooting method for a nonlinear beam equation. Nonlinear Anal Theory Methods Appl. 2008;68(7):2072-2078.
http://dx.doi.org/10.1016/j.na.2007.01.032