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An asymptotic formula for decreasing solutions to coupled nonlinear differential systems

Basic information
Original title:An asymptotic formula for decreasing solutions to coupled nonlinear differential systems
Authors:Pavel Řehák, Serena Matucci
Further information
Citation: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.Export BibTeX
@article{975049,
author = {Řehák, Pavel and Matucci, Serena},
article_location = {USA},
article_number = {2},
keywords = {system of quasilinear equations; strongly decreasing solutions; asymptotic equivalence; asymptotic form},
language = {eng},
issn = {1064-9735},
journal = {Panamerican Mathematical Journal},
title = {An asymptotic formula for decreasing solutions to coupled nonlinear differential systems},
volume = {22},
year = {2012}
}
Original language:English
Field:General mathematics
Type:Article in Periodical
Keywords: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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