Geodesic
Continuability and boundedness of solutions to nonlinear second-order differential equations
Electronic journal of differential equations, Tome 2010 (2010)
Continuability, boundedness, and monotonicity of solutions for a class of second-order nonlinear differential equations are discussed. It is proved that all solutions are eventually monotonic and can be extended to infinity under some natural assumptions. Moreover, necessary and sufficient conditions for boundedness of all solutions are established. The results obtained have extended and improved some analogous existing ones.
Classification : 34C11, 34C12
Keywords: nonlinear differential equations, second order, boundedness, monotonicity, continuability, asymptotic properties 
@article{EJDE_2010__2010__a183,
     author = {Wang,  Lianwen and Mckee,  Rhonda and Usyk,  Larysa},
     title = {Continuability and boundedness of solutions to nonlinear second-order differential equations},
     journal = {Electronic journal of differential equations},
     year = {2010},
     volume = {2010},
     zbl = {1217.34057},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a183/}
}
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Wang,  Lianwen; Mckee,  Rhonda; Usyk,  Larysa. Continuability and boundedness of solutions to nonlinear second-order differential equations. Electronic journal of differential equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a183/