Pregled bibliografske jedinice broj: 945418
Rectifiable and nonrectifiable solution curves of half-linear differential systems
Rectifiable and nonrectifiable solution curves of half-linear differential systems // Mathematica slovaca, 68 (2018), 3; 575-590 doi:10.1515/ms-2017-0126 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 945418 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Rectifiable and nonrectifiable solution curves of half-linear differential systems
Autori
Naito, Yuki ; Pašić, Mervan ; Tanaka, Satoshi
Izvornik
Mathematica slovaca (0139-9918) 68
(2018), 3;
575-590
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
half-linear system ; asymptotic behaviour ; attractive zero solution ; rectifiable curve ; nonrectifiable curve
Sažetak
We study a geometric kind of asymptotic behaviour of every C^1 solution of a class of nonautonomous systems of half-linear differential equations with continuous coefficients. We give necessary and sufficient conditions such that the image of every solution (solution curve) has finite length (rectifiable curve) and infinite length (nonrectifiable, possible fractal curve). A particular attention is paid to systems having attractive zero solution. The main results are proved by using a new result for the nonrectifiable plane curves.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Mervan Pašić
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
