The two-dimensional linear differential system x′=y, y′=-x-h(t)y is considered, where h∈ C1[ t0, ∞). This system is equivalent to the damped linear oscillator x″ + h(t)x′ + x=0. Necessary and sufficient conditions are established for the length of every nontrivial solution to be finite and infinity.
|Journal||Mediterranean Journal of Mathematics|
|Publication status||Published - 2017 Apr 1|
- Linear system
- zero solution
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