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On the existence of nonoscillatory solutions of third-order nonlinear differential equations
Published/Copyright:
December 20, 2010
Abstract
The aim of this paper is to study the qualitative properties of solutions of nonlinear differential equations of the third-order with quasiderivatives. Nonoscillatory solutions of investigated equations are divided into several classes according to their asymptotic behavior as t tends to infinity. We present the necessary and sufficient conditions for the existence of solutions in these classes. Sufficient conditions are proved via a topological approach based on the Schauder fixed point theorem.
Keywords.: Third order nonlinear differential equation; nonoscillatory solution; asymptotic behavior; quasiderivatives
Received: 2009-02-26
Revised: 2010-11-07
Published Online: 2010-12-20
Published in Print: 2011-May
© de Gruyter 2011
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Keywords for this article
Third order nonlinear differential equation;
nonoscillatory solution;
asymptotic behavior;
quasiderivatives
Articles in the same Issue
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- Existence results for a mixed boundary value problem with Sturm–Liouville equation
- On solutions of a nonlinear wave equation derived from brain activity modeling
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