Lianwen Wang, Rhonda McKee, Larysa Usyk
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.
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Lianwen Wang Department of Mathematics and Computer Science University of Central Missouri Warrensburg, MO 64093, USA email: lwang@ucmo.edu |
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Rhonda McKee Department of Mathematics and Computer Science University of Central Missouri Warrensburg, MO 64093, USA email: mckee@ucmo.edu |
| Larysa Usyk Department of Mathematics and Computer Science University of Central Missouri Warrensburg, MO 64093, USA email: lmu58230@ucmo.edu |
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