Abstract:
We study the existence of solutions for a periodic fourth order problem. We prove an associated uniform antimaximum principle and develop a method of upper and lower solutions in reversed order. Furthermore, by the quasilinearization method we construct an iterative sequence that converges quadratically to a solution.
Registro:
Documento: |
Artículo
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Título: | An application of the antimaximum principle for a fourth order periodic problem |
Autor: | Amster, P.; De Nápoli, P. |
Filiación: | Departamento de Matemática, FCEyN, Ciudad Universitaria, Pabellón I, (1428) Buenos Aires, Argentina
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Palabras clave: | Antimaximum principle; Fourth order periodic problems; Quasilinearization method; Upper and lower solutions |
Año: | 2006
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Página de inicio: | 1
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Página de fin: | 11
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Título revista: | Electronic Journal of Qualitative Theory of Differential Equations
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Título revista abreviado: | Electron. J. Qual. Theor. Differ. Equ.
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ISSN: | 14173875
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14173875_v_n_p1_Amster |
Referencias:
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- Cabada, A., Habets, P., Lois, S., Monotone method of the Neumann problem with lower and upper solutions in the reverse order (2001) Appl. Math. Comput., 117, pp. 1-14
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- Cabada, A., Nieto, J.J., Quasilinearization and rate of convergence for higher-order nonlinear periodic boundary-value problems (2001) J. Optim. Theory Appl., 108 (1), pp. 97-107
- Clément, Ph., Peletier, L.A., An anti maximum principle for second order elliptic, problems (1979) J. Diff. Equations, 34 (2), pp. 218-229
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- Lakshmikantham, V., Nieto, J.J., Generalized quasilinearization for nonlinear first order ordinary differential equations (1995) Nonlinear Times Digest, 2 (1), pp. 1-9
- Lakshmikantham, V., Shahzad, N., Nieto, J.J., Methods of generalized quasilinearization for periodic boundary value problems (1996) Nonlinear Anal., 27 (2), pp. 143-151
- Lakshmikantham, V., Vatsala, A.S., Generalized quasilinearization for nonlinear problems (1998) Mathematics and Its Applications, 440, , Kluwer Academic Publishers, Dordrecht
- Leuchtag, R., Family of differential equations arising from multi-ion electrodiffussion (1981) J. Math. Phys., 22 (6), pp. 1317-1320
- Nieto, J.J., Quadratic approximation of solutions for ordinary differential equations (1997) Bull. Austral. Math. Soc., 55 (1), pp. 161-168
- Lakshmikantham, V., An extension of the method of quasilinearization (1994) J. Optim. Theory Appl., 82, pp. 315-321
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Citas:
---------- APA ----------
Amster, P. & De Nápoli, P.
(2006)
. An application of the antimaximum principle for a fourth order periodic problem. Electronic Journal of Qualitative Theory of Differential Equations, 1-11.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14173875_v_n_p1_Amster [ ]
---------- CHICAGO ----------
Amster, P., De Nápoli, P.
"An application of the antimaximum principle for a fourth order periodic problem"
. Electronic Journal of Qualitative Theory of Differential Equations
(2006) : 1-11.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14173875_v_n_p1_Amster [ ]
---------- MLA ----------
Amster, P., De Nápoli, P.
"An application of the antimaximum principle for a fourth order periodic problem"
. Electronic Journal of Qualitative Theory of Differential Equations, 2006, pp. 1-11.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14173875_v_n_p1_Amster [ ]
---------- VANCOUVER ----------
Amster, P., De Nápoli, P. An application of the antimaximum principle for a fourth order periodic problem. Electron. J. Qual. Theor. Differ. Equ. 2006:1-11.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14173875_v_n_p1_Amster [ ]