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Extremal solutions to a system of n nonlinear differential equations and regularly varying functions
- 1.0445822 - MÚ 2016 RIV DE eng J - Journal Article
Matucci, S. - Řehák, Pavel
Extremal solutions to a system of n nonlinear differential equations and regularly varying functions.
Mathematische Nachrichten. Roč. 288, 11-12 (2015), s. 1413-1430. ISSN 0025-584X. E-ISSN 1522-2616
Grant - others:GA ČR(CZ) GAP201/10/1032
Program: GA
Institutional support: RVO:67985840
Keywords : positive extremal solutions * asymptotic representation * quasilinear systems
Subject RIV: BA - General Mathematics
Impact factor: 0.688, year: 2015
http://onlinelibrary.wiley.com/doi/10.1002/mana.201400252/abstract
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.
Permanent Link: http://hdl.handle.net/11104/0247888
Number of the records: 1