Geodesic
Positive solutions of third order damped nonlinear differential equations
Mathematica Bohemica, Tome 136 (2011) no. 2, pp. 205-213.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We study solutions tending to nonzero constants for the third order differential equation with the damping term \[ (a_{1}(t)(a_{2}(t)x'(t))')'+q(t)x'(t)+r(t)f(x(\varphi (t)))=0 \] in the case when the corresponding second order differential equation is oscillatory.
DOI : 10.21136/MB.2011.141583
Classification : 34C10, 34D05, 34K11, 34K25
Keywords: third order differential equation; damping term; second order oscillatory equation; positive solution; asymptotic properties 
@article{10_21136_MB_2011_141583,
     author = {Bartu\v{s}ek, Miroslav and Cecchi, Mariella and Do\v{s}l\'a, Zuzana and Marini, Mauro},
     title = {Positive solutions of third order damped nonlinear differential equations},
     journal = {Mathematica Bohemica},
     pages = {205--213},
     publisher = {mathdoc},
     volume = {136},
     number = {2},
     year = {2011},
     doi = {10.21136/MB.2011.141583},
     mrnumber = {2856137},
     zbl = {1224.34152},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2011.141583/}
}
TY  - JOUR
AU  - Bartušek, Miroslav
AU  - Cecchi, Mariella
AU  - Došlá, Zuzana
AU  - Marini, Mauro
TI  - Positive solutions of third order damped nonlinear differential equations
JO  - Mathematica Bohemica
PY  - 2011
SP  - 205
EP  - 213
VL  - 136
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2011.141583/
DO  - 10.21136/MB.2011.141583
LA  - en
ID  - 10_21136_MB_2011_141583
ER  - 
%0 Journal Article
%A Bartušek, Miroslav
%A Cecchi, Mariella
%A Došlá, Zuzana
%A Marini, Mauro
%T Positive solutions of third order damped nonlinear differential equations
%J Mathematica Bohemica
%D 2011
%P 205-213
%V 136
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2011.141583/
%R 10.21136/MB.2011.141583
%G en
%F 10_21136_MB_2011_141583
Bartušek, Miroslav; Cecchi, Mariella; Došlá, Zuzana; Marini, Mauro. Positive solutions of third order damped nonlinear differential equations. Mathematica Bohemica, Tome 136 (2011) no. 2, pp. 205-213. doi : 10.21136/MB.2011.141583. http://geodesic.mathdoc.fr/articles/10.21136/MB.2011.141583/

Cité par Sources :