Sentence examples for bounded oscillatory solution of from inspiring English sources

In fact, (x t)=(1+(1/t))sin t) is a bounded oscillatory solution of (2.4).

We study the existence of bounded oscillatory solutions for a higher order differential equation, considered as a perturbation of an associated linear equation.

The existence of solutions vanishing at infinity, and the closely related problem on existence of bounded oscillatory solutions, has attracted the attention in many papers, see, e.g. the monograph [2] and references therein.

Then every oscillatory solution of (1.1) is bounded.

If (3.1) holds, then every oscillatory solution of (1.1) is bounded and converges to zero as (trightarrowinfty).

end{aligned} So we can conclude that every oscillatory solution of (1.1) is bounded, and by Theorem 3.1 (x t)) converges to zero as (trightarrowinfty).

For example, is an oscillatory solution of (2.27).

Let (x t)) be any oscillatory solution of (2.1).

Let be any strictly oscillatory solution of (1.1).

The authors have investigated the oscillatory solution of Eq. (1.1).

Then (2.1) is bounded oscillatory.