Geodesic
Bounded and $L^2$-solutions of certain third order non-linear differential equation with a square integrable forcing term
Kragujevac Journal of Mathematics, Tome 29 (2006), p. 151 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

This paper is concerned with the existence of bounded and $L^2-$solutions to equations of the form $\stackrel{...}x+a(t)f(\dot{x})\ddot{x}+b(t)g(x)\dot{x}+c(t,x)= e(t),\leqno (*)$ where $e(t)$ is a continuous square integrable function. We obtain sufficient conditions which guarantee that all solutions of the equation $(*)$ are bounded are in $L^{2}[0,\infty)$.
Classification : 34C11
Keywords: non-linear differential equation 
@article{KJM_2006_29_a14,
     author = {Babatunde Sunday Ogundare and Joseph Ayanrionla Ayanjinmi and Olufemi Adeyinka Adesina},
     title = {Bounded and $L^2$-solutions of certain third order non-linear differential equation with a square integrable forcing term},
     journal = {Kragujevac Journal of Mathematics},
     pages = {151 },
     publisher = {mathdoc},
     volume = {29},
     year = {2006},
     zbl = {1143.34021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2006_29_a14/}
}
TY  - JOUR
AU  - Babatunde Sunday Ogundare
AU  - Joseph Ayanrionla Ayanjinmi
AU  - Olufemi Adeyinka Adesina
TI  - Bounded and $L^2$-solutions of certain third order non-linear differential equation with a square integrable forcing term
JO  - Kragujevac Journal of Mathematics
PY  - 2006
SP  - 151 
VL  - 29
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KJM_2006_29_a14/
LA  - en
ID  - KJM_2006_29_a14
ER  - 
%0 Journal Article
%A Babatunde Sunday Ogundare
%A Joseph Ayanrionla Ayanjinmi
%A Olufemi Adeyinka Adesina
%T Bounded and $L^2$-solutions of certain third order non-linear differential equation with a square integrable forcing term
%J Kragujevac Journal of Mathematics
%D 2006
%P 151 
%V 29
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KJM_2006_29_a14/
%G en
%F KJM_2006_29_a14
Babatunde Sunday Ogundare; Joseph Ayanrionla Ayanjinmi; Olufemi Adeyinka Adesina. Bounded and $L^2$-solutions of certain third order non-linear differential equation with a square integrable forcing term. Kragujevac Journal of Mathematics, Tome 29 (2006), p. 151 . http://geodesic.mathdoc.fr/item/KJM_2006_29_a14/