Počet záznamů: 1
Extremal solutions to a system of n nonlinear differential equations and regularly varying functions
- 1.
SYSNO ASEP 0445822 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Extremal solutions to a system of n nonlinear differential equations and regularly varying functions Tvůrce(i) Matucci, S. (IT)
Řehák, Pavel (MU-W) RID, SAI, ORCIDZdroj.dok. Mathematische Nachrichten - ISSN 0025-584X
Roč. 288, 11-12 (2015), s. 1413-1430Poč.str. 18 s. Jazyk dok. eng - angličtina Země vyd. DE - Německo Klíč. slova positive extremal solutions ; asymptotic representation ; quasilinear systems Vědní obor RIV BA - Obecná matematika Institucionální podpora MU-W - RVO:67985840 UT WOS 000358957400015 EID SCOPUS 84938292765 DOI 10.1002/mana.201400252 Anotace The strongly increasing and strongly decreasing solutions to a system of n nonlinear first order equations are here studied, under the assumption that both the coefficients and the nonlinearities are regularly varying functions. We establish conditions under which such solutions exist and are (all) regularly varying functions, we derive their index of regular variation and establish asymptotic representations. Several applications of the main results are given, involving n-th order nonlinear differential equations, equations with a generalized Laplacian, and nonlinear partial differential systems. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2016
Počet záznamů: 1