Geodesic
Stability and boundedness of solutions to certain fourth-order differential equations
Electronic Journal of Differential Equations, Tome 2006 (2006).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a86,
     author = {Tunc, Cemil},
     title = {Stability and boundedness of solutions to certain fourth-order differential equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2006},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a86/}
}
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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__a86/