Asymptotic behavior of solutions of quasilinear differential-algebraic equations
This paper is concerned with the asymptotic behavior of solutions of linear differential-algebraic equations (DAEs) under small nonlinear perturbations. Some results on the asymptotic behavior of solutions which are well known for ordinary differential equations are extended to DAEs. The main tools...
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2022
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet - kvázilineáris |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2022.1.43 |
| Online Access: | http://acta.bibl.u-szeged.hu/78328 |
| LEADER | 01479nas a2200241 i 4500 | ||
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| 001 | acta78328 | ||
| 005 | 20230313093944.0 | ||
| 008 | 230313s2022 hu o 0|| eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2022.1.43 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Linh Vu Hoang | |
| 245 | 1 | 0 | |a Asymptotic behavior of solutions of quasilinear differential-algebraic equations |h [elektronikus dokumentum] / |c Linh Vu Hoang |
| 260 | |c 2022 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a This paper is concerned with the asymptotic behavior of solutions of linear differential-algebraic equations (DAEs) under small nonlinear perturbations. Some results on the asymptotic behavior of solutions which are well known for ordinary differential equations are extended to DAEs. The main tools are the projector-based decoupling and the contractive mapping principle. Under certain assumptions on the linear part and the nonlinear term, asymptotic behavior of solutions are characterized. As the main result, a Perron type theorem that establishes the exponential growth rate of solutions is formulated. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Differenciálegyenlet - kvázilineáris | ||
| 700 | 0 | 1 | |a Nga Ngo Thi Thanh |e aut |
| 700 | 0 | 1 | |a Tuan Nguyen Ngoc |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/78328/1/ejqtde_2022_043.pdf |z Dokumentum-elérés |