Traditionally the Euler method is used for solving systems of linear differential equations. The method is based on the use of eigenvalues of a system's coefficients matrix. Another method to solve those systems is the D'Alembert integrable combination method. In this paper, we present a new method for solving systems of linear differential and difference equations. The main idea of the method is using the coefficients matrix eigenvalues to find integrable combinations of system variables. This method is particularly advantageous when nonhomogeneous systems are considered.
Yayın Adı (dc.title) | Direct Integration of Systems of Linear Differential and Difference Equations |
Yazar/lar (dc.contributor.yazarlar) | Syrgak Kydyraliev, Anarkul Urdaletova |
Yayın Türü (dc.type) | Konferans Bildirisi |
Dil (dc.language) | İngilizce |
Yayımlanma Yılı (dc.date.issued) | 2019 |
Ulusal/Uluslararası (dc.identifier.ulusaluluslararasi) | Uluslararası |
Kaynak (dc.relation.journal) | Filomat |
Kaynak Adı Ek Bilgi / Konferans Bilgisi (dc.identifier.kaynakadiekbilgi) | 8th International Conference on Mathematical Analysis, Differential Equation and Applications (MADEA).- Cholpon Ata, KYRGYZSTAN.- JUN 17-23, 2018 |
Süreli Sayı (dc.identifier.issue) | 5 |
Cilt/Sayı (dc.identifier.volume) | 33 |
Sayfa (dc.identifier.startpage) | 1453-1461 |
ISSN/ISBN (dc.identifier.issn) | ISSN: 0354-5180; Online ISSN: 2406-0933 |
Yayıncı (dc.publisher) | Prirodno-matematički fakultet, University of Niš, Serbia |
Veri Tabanları (dc.contributor.veritaban) | Web of Science Core Collection |
Veri Tabanları (dc.contributor.veritaban) | Kaynak web sitesi |
Veri Tabanları (dc.contributor.veritaban) | Scopus |
İndex Türü (dc.identifier.index) | CPCI-S |
İndex Türü (dc.identifier.index) | Scopus |
Etki Faktörü (dc.identifier.etkifaktoru) | 0,789 / 2018-WOS / 5 Year: 0,852 |
Özet (dc.description.abstract) | Traditionally the Euler method is used for solving systems of linear differential equations. The method is based on the use of eigenvalues of a system's coefficients matrix. Another method to solve those systems is the D'Alembert integrable combination method. In this paper, we present a new method for solving systems of linear differential and difference equations. The main idea of the method is using the coefficients matrix eigenvalues to find integrable combinations of system variables. This method is particularly advantageous when nonhomogeneous systems are considered. |
URL (dc.rights) | http://www.pmf.ni.ac.rs/filomat-content/2019/33-5/33-5-18-9333.pdf |
DOI (dc.identifier.doi) | 10.2298/FIL1905453K |
Fakültesi / Enstitütü (dc.identifier.fakulte) | Fen Fakültesi |
Bölümü (dc.identifier.bolum) | Matematik Bölümü |
Kurumdaki Yazar/lar (dc.contributor.author) | Anarkül URDALETOVA |
Kayıt No (dc.identifier.kayitno) | BL065FE6A5 |
Kayıt Giriş Tarihi (dc.date.available) | 2019-11-29 |
Not (Yayımlanma Yılı) (dc.identifier.notyayinyili) | 2019 |
Wos No (dc.identifier.wos) | WOS:000496192400019 |
Konu Başlıkları (dc.subject) | systems of linear differential equations |
Konu Başlıkları (dc.subject) | difference equations |