Geodesic
Stability and boundedness of solutions to certain fourth-order differential equations
Electronic journal of differential equations, Tome 2006 (2006)
We give criteria for the asymptotic stability and boundedness of solutions to the nonlinear fourth-order ordinary differential equation

$ x^{(4)}+\varphi (\ddot{x})\dddot{x}+f(x,\dot{x}) \ddot{x}+g(\dot{x})+h(x)=p(t,x,\dot{x},\ddot{x},\dddot{x})\,, $

when $p\equiv 0$ and when $p\neq 0$. Our results include and improve some well-known results in the literature.
Classification : 34D20, 34D99
Keywords: fourth order differential equations, stability, boundedness 
@article{EJDE_2006__2006__a186,
     author = {Tunc,  Cemil},
     title = {Stability and boundedness of solutions to certain fourth-order differential equations},
     journal = {Electronic journal of differential equations},
     year = {2006},
     volume = {2006},
     zbl = {1096.34024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a186/}
}
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Tunc,  Cemil. Stability and boundedness of solutions to certain fourth-order differential equations. Electronic journal of differential equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a186/