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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todo:paper_10726691_v2012_n_p_Amster2023-10-03T16:02:49Z Range of semilinear operators for systems at resonance 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. JOUR 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) |
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 |
JOUR |
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 |
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_ |
1782029850440105984 |