Artículo
Amster, P.; Mariani, M.C. "Oscillating solutions of a nonlinear fourth order ordinary differential equation" (2007) Journal of Mathematical Analysis and Applications. 325(2):1133-1141
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Abstract:
We study the existence of periodic solutions for a nonlinear fourth order ordinary differential equation. Under suitable conditions we prove the existence of at least one solution of the problem applying coincidence degree theory and the method of upper and lower solutions. © 2006 Elsevier Inc. All rights reserved.
Registro:
| Documento: | Artículo |
| Título: | Oscillating solutions of a nonlinear fourth order ordinary differential equation |
| Autor: | Amster, P.; Mariani, M.C. |
| Filiación: | FCEyN, Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, Pabellon I, 1428 Buenos Aires, Argentina Conicet, Argentina Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM 88003-8001, United States |
| Palabras clave: | Multi-ion electrodiffusion theory; Nonlinear ordinary differential equation; Semiconductors modelling |
| Año: | 2007 |
| Volumen: | 325 |
| Número: | 2 |
| Página de inicio: | 1133 |
| Página de fin: | 1141 |
| DOI: | http://dx.doi.org/10.1016/j.jmaa.2006.02.032 |
| Título revista: | Journal of Mathematical Analysis and Applications |
| Título revista abreviado: | J. Math. Anal. Appl. |
| ISSN: | 0022247X |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_0022247X_v325_n2_p1133_Amster.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v325_n2_p1133_Amster |
Referencias:
- Amster, P., De Nápoli, P., Mariani, M.C., Periodic solutions of a resonant third-order equation (2005) Nonlinear Anal., 60 (3), pp. 399-410
- van den Berg, G.B.J., The phase plane picture for a class of fourth order differential equations (2000) J. Differential Equations, 161, pp. 110-153
- van den Berg, G.B.J., Peletier, L., Troy, W., Global branches of multi-bump periodic solutions of the Swift-Hohenberg equation (2001) Arch. Ration. Mech. Anal., 158, pp. 91-153
- Buffoni, B., Champneys, A., Toland, J., Bifurcation and coalescence of a plethora of homoclinic orbits for autonomous Hamiltonian systems (1996) J. Dynam. Differential Equations, 8, pp. 221-279
- Collet, P., Eckmann, J.P., (1990) Instabilities and Fronts in Extended Systems, , Princeton Univ. Press, Princeton, NJ
- Grossinho, M., Ma, T.F., Symmetric equilibria for a beam with a nonlinear elastic foundation (1994) Portugal. Math., 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 Anal., 41, pp. 417-431
- Jüngel, A., (2001) Quasi-hydrodynamic Semiconductor Equations, , Birkhäuser
- Leuchtag, R., Family of differential equations arising from multi-ion electrodiffusion (1981) J. Math. Phys., 22 (6), pp. 1317-1320
- Mawhin, J., Topological Degree Methods in Nonlinear Boundary Value Problems (1979) NSF-CBMS Reg. Conf. Math., 40. , Amer. Math. Soc., Providence, RI
- Mawhin, J., Landesman-Lazer conditions for boundary value problems: A nonlinear version of resonance (2000) Bol. Soc. Española Mat. Apl., 16, pp. 45-65
- Peletier, L., Troy, W., (2001) Spatial Patterns: Higher Order Models in Physics and Mechanics, , Birkhäuser, Boston
- Swift, J., Hohenberg, P., Hydrodynamic fluctuations at the convective instability (1977) Phys. Rev. A, 15 (1), pp. 319-328
Citas:
---------- APA ----------
Amster, P. & Mariani, M.C. (2007) . Oscillating solutions of a nonlinear fourth order ordinary differential equation. Journal of Mathematical Analysis and Applications, 325(2), 1133-1141.http://dx.doi.org/10.1016/j.jmaa.2006.02.032
---------- CHICAGO ----------
Amster, P., Mariani, M.C. "Oscillating solutions of a nonlinear fourth order ordinary differential equation" . Journal of Mathematical Analysis and Applications 325, no. 2 (2007) : 1133-1141.http://dx.doi.org/10.1016/j.jmaa.2006.02.032
---------- MLA ----------
Amster, P., Mariani, M.C. "Oscillating solutions of a nonlinear fourth order ordinary differential equation" . Journal of Mathematical Analysis and Applications, vol. 325, no. 2, 2007, pp. 1133-1141.http://dx.doi.org/10.1016/j.jmaa.2006.02.032
---------- VANCOUVER ----------
Amster, P., Mariani, M.C. Oscillating solutions of a nonlinear fourth order ordinary differential equation. J. Math. Anal. Appl. 2007;325(2):1133-1141.http://dx.doi.org/10.1016/j.jmaa.2006.02.032
