Geodesic
Boundedness of solutions to fourth-order differential equations with oscillatory restoring and forcing terms
Electronic journal of differential equations, Tome 2006 (2006)
This article concerns the fourth order differential equation

$ x^{(iv)}+ax'''+bx''+g(x')+h(x)=p(t). $

Using the Cauchy formula for the particular solution of non-homogeneous linear differential equations with constant coefficients, we prove that the solution and its derivatives up to order three are bounded.
Classification : 34C10, 34C11
Keywords: fourth order differential equation, bounded solution, oscillatory solution, restoring and forcing terms 
@article{EJDE_2006__2006__a83,
     author = {Ogundare,  Babatunde S.},
     title = {Boundedness of solutions to fourth-order differential equations with oscillatory restoring and forcing terms},
     journal = {Electronic journal of differential equations},
     year = {2006},
     volume = {2006},
     zbl = {1093.34526},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a83/}
}
TY  - JOUR
AU  - Ogundare,  Babatunde S.
TI  - Boundedness of solutions to fourth-order differential equations with oscillatory restoring and forcing terms
JO  - Electronic journal of differential equations
PY  - 2006
VL  - 2006
UR  - http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a83/
LA  - en
ID  - EJDE_2006__2006__a83
ER  - 
%0 Journal Article
%A Ogundare,  Babatunde S.
%T Boundedness of solutions to fourth-order differential equations with oscillatory restoring and forcing terms
%J Electronic journal of differential equations
%D 2006
%V 2006
%U http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a83/
%G en
%F EJDE_2006__2006__a83
Ogundare,  Babatunde S. Boundedness of solutions to fourth-order differential equations with oscillatory restoring and forcing terms. Electronic journal of differential equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a83/