Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 165, pp. 1-12.

Title: Continuability and boundedness of solutions to nonlinear
       second-order differential equations

Authors: Lianwen Wang (Univ. of Central Missouri, Warrensburg, MO, USA)
         Rhonda McKee (Univ. of Central Missouri, Warrensburg, MO, USA)
	 Larysa Usyk  (Univ. of Central Missouri, Warrensburg, MO, USA)

Abstract:
 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.

Submitted February 27, 2010. Published November 17, 2010.
Math Subject Classifications: 34C11, 34C12.
Key Words: Nonlinear differential equations; second order; boundedness; 
           monotonicity; continuability; asymptotic properties.