An asymptotic formula for decreasing solutions to coupled nonlinear differential systems

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Authors

ŘEHÁK Pavel MATUCCI Serena

Year of publication 2012
Type Article in Periodical
Magazine / Source Panamerican Mathematical Journal
MU Faculty or unit

Faculty of Education

Citation
Field General mathematics
Keywords system of quasilinear equations; strongly decreasing solutions; asymptotic equivalence; asymptotic form
Description 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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