Range of semilinear operators for systems at resonance
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) g...
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| Formato: | Artículo publishedVersion |
| Lenguaje: | Inglés |
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2012
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10726691_v2012_n_p_Amster |
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paperaa:paper_10726691_v2012_n_p_Amster2023-06-12T16:49:30Z Range of semilinear operators for systems at resonance Electron. J. Differ. Equ. 2012;2012 Amster, P. Kuna, M.P. Critical point theory Resonant systems Semilinear operators 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. Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2012 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10726691_v2012_n_p_Amster |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| language |
Inglés |
| orig_language_str_mv |
eng |
| topic |
Critical point theory Resonant systems Semilinear operators |
| spellingShingle |
Critical point theory Resonant systems Semilinear operators Amster, P. Kuna, M.P. Range of semilinear operators for systems at resonance |
| topic_facet |
Critical point theory Resonant systems Semilinear operators |
| description |
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. |
| format |
Artículo Artículo publishedVersion |
| author |
Amster, P. Kuna, M.P. |
| author_facet |
Amster, P. Kuna, M.P. |
| author_sort |
Amster, P. |
| title |
Range of semilinear operators for systems at resonance |
| title_short |
Range of semilinear operators for systems at resonance |
| title_full |
Range of semilinear operators for systems at resonance |
| title_fullStr |
Range of semilinear operators for systems at resonance |
| title_full_unstemmed |
Range of semilinear operators for systems at resonance |
| title_sort |
range of semilinear operators for systems at resonance |
| publishDate |
2012 |
| url |
http://hdl.handle.net/20.500.12110/paper_10726691_v2012_n_p_Amster |
| work_keys_str_mv |
AT amsterp rangeofsemilinearoperatorsforsystemsatresonance AT kunamp rangeofsemilinearoperatorsforsystemsatresonance |
| _version_ |
1769810344933326848 |