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An asymptotic formula for decreasing solutions to coupled nonlinear differential systems

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ŘEHÁK Pavel MATUCCI Serena

Druh Článek v odborném periodiku
Časopis / Zdroj Panamerican Mathematical Journal
Fakulta / Pracoviště MU

Pedagogická fakulta

Citace
Obor Obecná matematika
Klíčová slova system of quasilinear equations; strongly decreasing solutions; asymptotic equivalence; asymptotic form
Popis 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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