An asymptotic formula for decreasing solutions to coupled nonlinear differential systems

0375191 - MÚ 2013 RIV US eng J - Journal Article
Matucci, S. - Řehák, Pavel
An asymptotic formula for decreasing solutions to coupled nonlinear differential systems.
Panamerican Mathematical Journal. Roč. 22, č. 2 (2012), s. 67-75. ISSN 1064-9735
Institutional research plan: CEZ:AV0Z10190503
Keywords : system of quasilinear equations * strongly decreasing solutions * asymptotic equivalence
Subject RIV: BA - General Mathematics

An asymptotic formula is given for positive strongly decreasing solutions of a sub-homogeneous system of two second order quasilinear ordinary differential equations. This result is obtained as an application of an asymptotic equivalence theorem for positive solutions, which is proved in this paper as well. Examples of application to a fourth order nonlinear differential equation and to a nonlinear partial differential system are presented.
Permanent Link: http://hdl.handle.net/11104/0207921