Eintrag weiter verarbeiten
REPRESENTATION OF SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS WITH MULTIPLE DELAYS AND NONPERMUTABLE VARIABLE COEFFICIENTS
Gespeichert in:
| Zeitschriftentitel: | Mathematical Modelling and Analysis |
|---|---|
| Personen und Körperschaften: | |
| In: | Mathematical Modelling and Analysis, 25, 2020, 2, S. 303-322 |
| Format: | E-Article |
| Sprache: | Unbestimmt |
| veröffentlicht: |
Vilnius Gediminas Technical University
|
| Schlagwörter: |
| author_facet |
Pospíšil, Michal Pospíšil, Michal |
|---|---|
| author |
Pospíšil, Michal |
| spellingShingle |
Pospíšil, Michal Mathematical Modelling and Analysis REPRESENTATION OF SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS WITH MULTIPLE DELAYS AND NONPERMUTABLE VARIABLE COEFFICIENTS Modeling and Simulation Analysis |
| author_sort |
pospíšil, michal |
| spelling |
Pospíšil, Michal 1392-6292 1648-3510 Vilnius Gediminas Technical University Modeling and Simulation Analysis http://dx.doi.org/10.3846/mma.2020.11194 <jats:p>Solutions of nonhomogeneous systems of linear differential equations with multiple constant delays are explicitly stated without a commutativity assumption on the matrix coefficients. In comparison to recent results, the new formulas are not inductively built, but depend on a sum of noncommutative products in the case of constant coefficients, or on a sum of iterated integrals in the case of time-dependent coefficients. This approach shall be more suitable for applications.Representation of a solution of a Cauchy problem for a system of higher order delay differential equations is also given.</jats:p> REPRESENTATION OF SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS WITH MULTIPLE DELAYS AND NONPERMUTABLE VARIABLE COEFFICIENTS Mathematical Modelling and Analysis |
| doi_str_mv |
10.3846/mma.2020.11194 |
| facet_avail |
Online Free |
| finc_class_facet |
Mathematik |
| format |
ElectronicArticle |
| fullrecord |
blob:ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMzg0Ni9tbWEuMjAyMC4xMTE5NA |
| id |
ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMzg0Ni9tbWEuMjAyMC4xMTE5NA |
| institution |
DE-D275 DE-Bn3 DE-Brt1 DE-Zwi2 DE-D161 DE-Gla1 DE-Zi4 DE-15 DE-Rs1 DE-Pl11 DE-105 DE-14 DE-Ch1 DE-L229 |
| imprint |
Vilnius Gediminas Technical University, 2020 |
| imprint_str_mv |
Vilnius Gediminas Technical University, 2020 |
| issn |
1392-6292 1648-3510 |
| issn_str_mv |
1392-6292 1648-3510 |
| language |
Undetermined |
| mega_collection |
Vilnius Gediminas Technical University (CrossRef) |
| match_str |
pospisil2020representationofsolutionsofsystemsoflineardifferentialequationswithmultipledelaysandnonpermutablevariablecoefficients |
| publishDateSort |
2020 |
| publisher |
Vilnius Gediminas Technical University |
| recordtype |
ai |
| record_format |
ai |
| series |
Mathematical Modelling and Analysis |
| source_id |
49 |
| title |
REPRESENTATION OF SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS WITH MULTIPLE DELAYS AND NONPERMUTABLE VARIABLE COEFFICIENTS |
| title_unstemmed |
REPRESENTATION OF SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS WITH MULTIPLE DELAYS AND NONPERMUTABLE VARIABLE COEFFICIENTS |
| title_full |
REPRESENTATION OF SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS WITH MULTIPLE DELAYS AND NONPERMUTABLE VARIABLE COEFFICIENTS |
| title_fullStr |
REPRESENTATION OF SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS WITH MULTIPLE DELAYS AND NONPERMUTABLE VARIABLE COEFFICIENTS |
| title_full_unstemmed |
REPRESENTATION OF SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS WITH MULTIPLE DELAYS AND NONPERMUTABLE VARIABLE COEFFICIENTS |
| title_short |
REPRESENTATION OF SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS WITH MULTIPLE DELAYS AND NONPERMUTABLE VARIABLE COEFFICIENTS |
| title_sort |
representation of solutions of systems of linear differential equations with multiple delays and nonpermutable variable coefficients |
| topic |
Modeling and Simulation Analysis |
| url |
http://dx.doi.org/10.3846/mma.2020.11194 |
| publishDate |
2020 |
| physical |
303-322 |
| description |
<jats:p>Solutions of nonhomogeneous systems of linear differential equations with multiple constant delays are explicitly stated without a commutativity assumption on the matrix coefficients. In comparison to recent results, the new formulas are not inductively built, but depend on a sum of noncommutative products in the case of constant coefficients, or on a sum of iterated integrals in the case of time-dependent coefficients. This approach shall be more suitable for applications.Representation of a solution of a Cauchy problem for a system of higher order delay differential equations is also given.</jats:p> |
| container_issue |
2 |
| container_start_page |
303 |
| container_title |
Mathematical Modelling and Analysis |
| container_volume |
25 |
| format_de105 |
Article, E-Article |
| format_de14 |
Article, E-Article |
| format_de15 |
Article, E-Article |
| format_de520 |
Article, E-Article |
| format_de540 |
Article, E-Article |
| format_dech1 |
Article, E-Article |
| format_ded117 |
Article, E-Article |
| format_degla1 |
E-Article |
| format_del152 |
Buch |
| format_del189 |
Article, E-Article |
| format_dezi4 |
Article |
| format_dezwi2 |
Article, E-Article |
| format_finc |
Article, E-Article |
| format_nrw |
Article, E-Article |
| _version_ |
1792333623493394437 |
| geogr_code |
not assigned |
| last_indexed |
2024-03-01T14:15:42.853Z |
| geogr_code_person |
not assigned |
| openURL |
url_ver=Z39.88-2004&ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fvufind.svn.sourceforge.net%3Agenerator&rft.title=REPRESENTATION+OF+SOLUTIONS+OF+SYSTEMS+OF+LINEAR+DIFFERENTIAL+EQUATIONS+WITH+MULTIPLE+DELAYS+AND+NONPERMUTABLE+VARIABLE+COEFFICIENTS&rft.date=2020-03-18&genre=article&issn=1648-3510&volume=25&issue=2&spage=303&epage=322&pages=303-322&jtitle=Mathematical+Modelling+and+Analysis&atitle=REPRESENTATION+OF+SOLUTIONS+OF+SYSTEMS+OF+LINEAR+DIFFERENTIAL+EQUATIONS+WITH+MULTIPLE+DELAYS+AND+NONPERMUTABLE+VARIABLE+COEFFICIENTS&aulast=Posp%C3%AD%C5%A1il&aufirst=Michal&rft_id=info%3Adoi%2F10.3846%2Fmma.2020.11194&rft.language%5B0%5D=und |
| SOLR | |
| _version_ | 1792333623493394437 |
| author | Pospíšil, Michal |
| author_facet | Pospíšil, Michal, Pospíšil, Michal |
| author_sort | pospíšil, michal |
| container_issue | 2 |
| container_start_page | 303 |
| container_title | Mathematical Modelling and Analysis |
| container_volume | 25 |
| description | <jats:p>Solutions of nonhomogeneous systems of linear differential equations with multiple constant delays are explicitly stated without a commutativity assumption on the matrix coefficients. In comparison to recent results, the new formulas are not inductively built, but depend on a sum of noncommutative products in the case of constant coefficients, or on a sum of iterated integrals in the case of time-dependent coefficients. This approach shall be more suitable for applications.Representation of a solution of a Cauchy problem for a system of higher order delay differential equations is also given.</jats:p> |
| doi_str_mv | 10.3846/mma.2020.11194 |
| facet_avail | Online, Free |
| finc_class_facet | Mathematik |
| format | ElectronicArticle |
| format_de105 | Article, E-Article |
| format_de14 | Article, E-Article |
| format_de15 | Article, E-Article |
| format_de520 | Article, E-Article |
| format_de540 | Article, E-Article |
| format_dech1 | Article, E-Article |
| format_ded117 | Article, E-Article |
| format_degla1 | E-Article |
| format_del152 | Buch |
| format_del189 | Article, E-Article |
| format_dezi4 | Article |
| format_dezwi2 | Article, E-Article |
| format_finc | Article, E-Article |
| format_nrw | Article, E-Article |
| geogr_code | not assigned |
| geogr_code_person | not assigned |
| id | ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMzg0Ni9tbWEuMjAyMC4xMTE5NA |
| imprint | Vilnius Gediminas Technical University, 2020 |
| imprint_str_mv | Vilnius Gediminas Technical University, 2020 |
| institution | DE-D275, DE-Bn3, DE-Brt1, DE-Zwi2, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Rs1, DE-Pl11, DE-105, DE-14, DE-Ch1, DE-L229 |
| issn | 1392-6292, 1648-3510 |
| issn_str_mv | 1392-6292, 1648-3510 |
| language | Undetermined |
| last_indexed | 2024-03-01T14:15:42.853Z |
| match_str | pospisil2020representationofsolutionsofsystemsoflineardifferentialequationswithmultipledelaysandnonpermutablevariablecoefficients |
| mega_collection | Vilnius Gediminas Technical University (CrossRef) |
| physical | 303-322 |
| publishDate | 2020 |
| publishDateSort | 2020 |
| publisher | Vilnius Gediminas Technical University |
| record_format | ai |
| recordtype | ai |
| series | Mathematical Modelling and Analysis |
| source_id | 49 |
| spelling | Pospíšil, Michal 1392-6292 1648-3510 Vilnius Gediminas Technical University Modeling and Simulation Analysis http://dx.doi.org/10.3846/mma.2020.11194 <jats:p>Solutions of nonhomogeneous systems of linear differential equations with multiple constant delays are explicitly stated without a commutativity assumption on the matrix coefficients. In comparison to recent results, the new formulas are not inductively built, but depend on a sum of noncommutative products in the case of constant coefficients, or on a sum of iterated integrals in the case of time-dependent coefficients. This approach shall be more suitable for applications.Representation of a solution of a Cauchy problem for a system of higher order delay differential equations is also given.</jats:p> REPRESENTATION OF SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS WITH MULTIPLE DELAYS AND NONPERMUTABLE VARIABLE COEFFICIENTS Mathematical Modelling and Analysis |
| spellingShingle | Pospíšil, Michal, Mathematical Modelling and Analysis, REPRESENTATION OF SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS WITH MULTIPLE DELAYS AND NONPERMUTABLE VARIABLE COEFFICIENTS, Modeling and Simulation, Analysis |
| title | REPRESENTATION OF SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS WITH MULTIPLE DELAYS AND NONPERMUTABLE VARIABLE COEFFICIENTS |
| title_full | REPRESENTATION OF SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS WITH MULTIPLE DELAYS AND NONPERMUTABLE VARIABLE COEFFICIENTS |
| title_fullStr | REPRESENTATION OF SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS WITH MULTIPLE DELAYS AND NONPERMUTABLE VARIABLE COEFFICIENTS |
| title_full_unstemmed | REPRESENTATION OF SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS WITH MULTIPLE DELAYS AND NONPERMUTABLE VARIABLE COEFFICIENTS |
| title_short | REPRESENTATION OF SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS WITH MULTIPLE DELAYS AND NONPERMUTABLE VARIABLE COEFFICIENTS |
| title_sort | representation of solutions of systems of linear differential equations with multiple delays and nonpermutable variable coefficients |
| title_unstemmed | REPRESENTATION OF SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS WITH MULTIPLE DELAYS AND NONPERMUTABLE VARIABLE COEFFICIENTS |
| topic | Modeling and Simulation, Analysis |
| url | http://dx.doi.org/10.3846/mma.2020.11194 |