Artículo
Amster, P.; Kuna, M.P. "Range of semilinear operators for systems at resonance" (2012) Electronic Journal of Differential Equations. 2012
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Abstract:
For a vector function u: ℝ→ ℝ N we consider the system, where G: ℝ N → ℝ is a C 1 function. We are interested in finding all possible T-periodic forcing terms p(t) for which there is at least one solution. In other words, we examine the range of the semilinear operator S: H 2 per → L 2([0, T],ℝ N) given by, where. Writing p(t) = p̄ + p̄(t), where, we present several resultsconcerning the topological structure of the set. © 2012 Texas State University-San Marcos.
Registro:
| Documento: | Artículo |
| Título: | Range of semilinear operators for systems at resonance |
| Autor: | Amster, P.; Kuna, M.P. |
| Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, (1428) Buenos Aires, Argentina |
| Palabras clave: | Critical point theory; Resonant systems; Semilinear operators |
| Año: | 2012 |
| Volumen: | 2012 |
| Título revista: | Electronic Journal of Differential Equations |
| Título revista abreviado: | Electron. J. Differ. Equ. |
| ISSN: | 10726691 |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_10726691_v2012_n_p_Amster.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2012_n_p_Amster |
Referencias:
- Ahmad, S., Lazer, A.C., Paul, J.L., Elementary critical point theory and perturbation of elliptic boundary value problems at resonance (1976) Indiana Univ Math. J, 25, pp. 933-944
- Castro, A., Periodic solutions of the forced pendulum equation (1980) Diff. Equations, pp. 60-149
- Conway, J., (1990) A Course in Functional Analysis, , 2nd edition, Springer-Verlag, New York
- de Coster, C., Habets, P., Upper and Lower Solutions in the Theory of ODE Boundary Value Problems: Classical and Recent Results (1996) CISM Courses and Lectures, p. 371. , Nonlinear Analysis and Boundary Value Problems for Ordinary Differential Equations, F. Zanolin ed., Springer
- Habets, P., Torres, P.J., Some multiplicity results for periodic solutions of a Rayleigh differential equation (2001) Dynamics of Continuous, Discrete and Impulsive Systems Serie A: Mathematical Analysis, 8 (3), pp. 335-347
- Kuna, M.P., Estudio de existencia de soluciones para ecuaciones tipo Rayleigh (2011) MsC Thesis, , http://cms.dm.uba.ar/academico/carreras/licen-ciatura/tesis/2011, Universidad de Buenos Aires
- Lazer, A.C., Application of a lemma on bilinear forms to a problem in nonlinear oscillation (1972) Amer. Math. Soc, 33, pp. 89-94
- Mawhin, J., Willem, M., (1989) Critical Point Theory and Hamiltonian Systems, , New York: Springer-Verlag, MR 90e58016
- Nirenberg, L., (1971) Generalized Degree and Nonlinear Problems, Contributions to Nonlinear Functional Analysis, pp. 1-9. , Ed. E. H. Zarantonello, Academic Press New York
- Teschl, G., (2001) Nonlinear Functional Analysis. Lecture Notes in Math, , Vienna Univ., Austria
Citas:
---------- APA ----------
Amster, P. & Kuna, M.P. (2012) . Range of semilinear operators for systems at resonance. Electronic Journal of Differential Equations, 2012.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2012_n_p_Amster [ ]
---------- CHICAGO ----------
Amster, P., Kuna, M.P. "Range of semilinear operators for systems at resonance" . Electronic Journal of Differential Equations 2012 (2012).Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2012_n_p_Amster [ ]
---------- MLA ----------
Amster, P., Kuna, M.P. "Range of semilinear operators for systems at resonance" . Electronic Journal of Differential Equations, vol. 2012, 2012.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2012_n_p_Amster [ ]
---------- VANCOUVER ----------
Amster, P., Kuna, M.P. Range of semilinear operators for systems at resonance. Electron. J. Differ. Equ. 2012;2012.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2012_n_p_Amster [ ]
