| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 840467 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 6 Pages |
Abstract
In this paper, the existence of solutions to the equation ẍ+2f(t)ẋ+β(t)x+g(t,x)=0, t≥0, is discussed. Our approach allows us achieve extension to the case of the whole real line, for which the existence of homoclinic solutions having zero limit at ±∞±∞ is deduced. The result is obtained through the method of the Lyapunov function and differential inequalities.
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Authors
Cristian Vladimirescu,