Global stability of the positive equilibrium for a non-cooperative model of nuclear reactors
In this paper, we investigate the non-cooperative reaction-diffusion model of nuclear reactors subject to the homogeneous Neumann boundary condition. By establishing appropriate Lyapunov functions, we prove the global stability of the unique positive constant equilibrium solution.
Autor*in: |
Qunyi Bie [verfasserIn] |
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E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2012 |
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Übergeordnetes Werk: |
In: Electronic Journal of Qualitative Theory of Differential Equations - University of Szeged, 2003, (2012), 16, Seite 10 |
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Übergeordnetes Werk: |
year:2012 ; number:16 ; pages:10 |
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DOI / URN: |
10.14232/ejqtde.2012.1.16 |
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Katalog-ID: |
DOAJ015009645 |
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10.14232/ejqtde.2012.1.16 doi (DE-627)DOAJ015009645 (DE-599)DOAJ3703acca980e4e5a8c139d758d7825b7 DE-627 ger DE-627 rakwb eng QA1-939 Qunyi Bie verfasserin aut Global stability of the positive equilibrium for a non-cooperative model of nuclear reactors 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we investigate the non-cooperative reaction-diffusion model of nuclear reactors subject to the homogeneous Neumann boundary condition. By establishing appropriate Lyapunov functions, we prove the global stability of the unique positive constant equilibrium solution. non-cooperative model diffusion nuclear reactors global stability Mathematics In Electronic Journal of Qualitative Theory of Differential Equations University of Szeged, 2003 (2012), 16, Seite 10 (DE-627)320518264 (DE-600)2014234-1 14173875 nnns year:2012 number:16 pages:10 https://doi.org/10.14232/ejqtde.2012.1.16 kostenfrei https://doaj.org/article/3703acca980e4e5a8c139d758d7825b7 kostenfrei http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=795 kostenfrei https://doaj.org/toc/1417-3875 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2031 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2012 16 10 |
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10.14232/ejqtde.2012.1.16 doi (DE-627)DOAJ015009645 (DE-599)DOAJ3703acca980e4e5a8c139d758d7825b7 DE-627 ger DE-627 rakwb eng QA1-939 Qunyi Bie verfasserin aut Global stability of the positive equilibrium for a non-cooperative model of nuclear reactors 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we investigate the non-cooperative reaction-diffusion model of nuclear reactors subject to the homogeneous Neumann boundary condition. By establishing appropriate Lyapunov functions, we prove the global stability of the unique positive constant equilibrium solution. non-cooperative model diffusion nuclear reactors global stability Mathematics In Electronic Journal of Qualitative Theory of Differential Equations University of Szeged, 2003 (2012), 16, Seite 10 (DE-627)320518264 (DE-600)2014234-1 14173875 nnns year:2012 number:16 pages:10 https://doi.org/10.14232/ejqtde.2012.1.16 kostenfrei https://doaj.org/article/3703acca980e4e5a8c139d758d7825b7 kostenfrei http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=795 kostenfrei https://doaj.org/toc/1417-3875 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2031 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2012 16 10 |
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10.14232/ejqtde.2012.1.16 doi (DE-627)DOAJ015009645 (DE-599)DOAJ3703acca980e4e5a8c139d758d7825b7 DE-627 ger DE-627 rakwb eng QA1-939 Qunyi Bie verfasserin aut Global stability of the positive equilibrium for a non-cooperative model of nuclear reactors 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we investigate the non-cooperative reaction-diffusion model of nuclear reactors subject to the homogeneous Neumann boundary condition. By establishing appropriate Lyapunov functions, we prove the global stability of the unique positive constant equilibrium solution. non-cooperative model diffusion nuclear reactors global stability Mathematics In Electronic Journal of Qualitative Theory of Differential Equations University of Szeged, 2003 (2012), 16, Seite 10 (DE-627)320518264 (DE-600)2014234-1 14173875 nnns year:2012 number:16 pages:10 https://doi.org/10.14232/ejqtde.2012.1.16 kostenfrei https://doaj.org/article/3703acca980e4e5a8c139d758d7825b7 kostenfrei http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=795 kostenfrei https://doaj.org/toc/1417-3875 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2031 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2012 16 10 |
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global stability of the positive equilibrium for a non-cooperative model of nuclear reactors |
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Global stability of the positive equilibrium for a non-cooperative model of nuclear reactors |
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In this paper, we investigate the non-cooperative reaction-diffusion model of nuclear reactors subject to the homogeneous Neumann boundary condition. By establishing appropriate Lyapunov functions, we prove the global stability of the unique positive constant equilibrium solution. |
abstractGer |
In this paper, we investigate the non-cooperative reaction-diffusion model of nuclear reactors subject to the homogeneous Neumann boundary condition. By establishing appropriate Lyapunov functions, we prove the global stability of the unique positive constant equilibrium solution. |
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In this paper, we investigate the non-cooperative reaction-diffusion model of nuclear reactors subject to the homogeneous Neumann boundary condition. By establishing appropriate Lyapunov functions, we prove the global stability of the unique positive constant equilibrium solution. |
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7.39892 |