Solutions of linear systems of moment differential equations via generalized matrix exponentials
A generalized exponential matrix based on the construction of kernel operators for generalized summability is defined and analyzing its main properties, generalizing the classical exponential matrix and fractional exponential matrix. This object serves as a practical tool to express the solutions of...
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| Veröffentlicht in: | Journal of Differential Equations Jg. 372; S. 591 - 611 |
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| Hauptverfasser: | , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Elsevier Inc
05.11.2023
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| ISSN: | 0022-0396, 1090-2732 |
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| Abstract | A generalized exponential matrix based on the construction of kernel operators for generalized summability is defined and analyzing its main properties, generalizing the classical exponential matrix and fractional exponential matrix.
This object serves as a practical tool to express the solutions of linear systems of moment differential equations in a compact manner, in the spirit of the classical exponential matrix. |
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| AbstractList | A generalized exponential matrix based on the construction of kernel operators for generalized summability is defined and analyzing its main properties, generalizing the classical exponential matrix and fractional exponential matrix.
This object serves as a practical tool to express the solutions of linear systems of moment differential equations in a compact manner, in the spirit of the classical exponential matrix. |
| Author | Lastra, Alberto Prisuelos-Arribas, Cruz |
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| Keywords | Kernels for summability System moment differential equations Strongly regular sequence 34M03 15A16 Generalized matrix exponential 30D15 34A08 |
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| References | Balser (br0010) 2000 Ramis, Zhang (br0190) 2002; 335 Sanz (br0220) 2017 Lastra, Malek (br0100) 2015; 2015 Dreyfus, Lastra, Malek (br0060) 2019; 2019 Michalik (br0150) 2012; 18 Rodrigo (br0200) 2016; 261 Zhang (br0250) 2008; 339 Lastra, Michalik, Suwińska (br0140) 2023; 78 Suwińska (br0230) 2021; 27 Carleman (br0040) 1926 Lastra (br0090) 2022 Michalik (br0160) 2013; 56 Michalik, Tkacz (br0170) 2019; 25 Bonilla, Rivero, Trujillo (br0030) 2007; 187 Jiménez-Garrido, Sanz, Schindl (br0080) 2019; 113 Lastra, Michalik, Suwińska (br0130) 2021; 76 Jiménez-Garrido, Sanz, Schindl (br0070) 2017; 448 Ramis (br0180) 1992; 1 Cartan, Mandelbrojt (br0050) 1940; 72 Lastra, Michalik, Suwińska (br0120) 2021; 500 Sanz (br0210) 2014; 415 Thilliez (br0240) 2003; 44 Balser, Yoshino (br0020) 2010; 53 Lastra, Malek, Sanz (br0110) 2015; 430 Rodrigo (10.1016/j.jde.2023.07.012_br0200) 2016; 261 Bonilla (10.1016/j.jde.2023.07.012_br0030) 2007; 187 Zhang (10.1016/j.jde.2023.07.012_br0250) 2008; 339 Carleman (10.1016/j.jde.2023.07.012_br0040) 1926 Balser (10.1016/j.jde.2023.07.012_br0020) 2010; 53 Jiménez-Garrido (10.1016/j.jde.2023.07.012_br0070) 2017; 448 Lastra (10.1016/j.jde.2023.07.012_br0120) 2021; 500 Ramis (10.1016/j.jde.2023.07.012_br0180) 1992; 1 Dreyfus (10.1016/j.jde.2023.07.012_br0060) 2019; 2019 Jiménez-Garrido (10.1016/j.jde.2023.07.012_br0080) 2019; 113 Lastra (10.1016/j.jde.2023.07.012_br0090) 2022 Lastra (10.1016/j.jde.2023.07.012_br0100) 2015; 2015 Sanz (10.1016/j.jde.2023.07.012_br0220) 2017 Lastra (10.1016/j.jde.2023.07.012_br0130) 2021; 76 Balser (10.1016/j.jde.2023.07.012_br0010) 2000 Michalik (10.1016/j.jde.2023.07.012_br0160) 2013; 56 Sanz (10.1016/j.jde.2023.07.012_br0210) 2014; 415 Thilliez (10.1016/j.jde.2023.07.012_br0240) 2003; 44 Suwińska (10.1016/j.jde.2023.07.012_br0230) 2021; 27 Cartan (10.1016/j.jde.2023.07.012_br0050) 1940; 72 Lastra (10.1016/j.jde.2023.07.012_br0110) 2015; 430 Lastra (10.1016/j.jde.2023.07.012_br0140) 2023; 78 Michalik (10.1016/j.jde.2023.07.012_br0170) 2019; 25 Michalik (10.1016/j.jde.2023.07.012_br0150) 2012; 18 Ramis (10.1016/j.jde.2023.07.012_br0190) 2002; 335 |
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