An asymptotic formula for decreasing solutions to coupled nonlinear differential systems

Autoři ŘEHÁK Pavel — MATUCCI Serena
Druh Článek v odborném periodiku
Citace ŘEHÁK, Pavel a Serena MATUCCI. An asymptotic formula for decreasing solutions to coupled nonlinear differential systems. Panamerican Mathematical Journal, USA: University of Central Florida, 2012, roč. 22, č. 2, s. 67-75. ISSN 1064-9735.
Originální jazyk angličtina
Obor Obecná matematika
Klíčová slova system of quasilinear equations; strongly decreasing solutions; asymptotic equivalence; asymptotic form

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.

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