Sentence examples for be any oscillatory solution from inspiring English sources

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

Let (x t)) be an oscillatory solution of (1.1), and (d>0) be a constant.

For contradiction, let (x t)) be an oscillatory solution of (1.1).

Then is an oscillatory solution with decreasing amplitudes.

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

As a matter of fact, (x t)=sin t) is an oscillatory solution to (4.1).

Since is an oscillatory solution, there exist with such that and on.

For instance, (x t)=sin4t) is an oscillatory solution of this equation.

Hence, ((x(n),y(n))) is an oscillatory solution of system (5).

(4) (1) If is an oscillatory solution of (3.3), then it follows from the equality (3.5).

Let,,, and then by Theorem 2.1 every solution of (2.27) oscillates; for example, is an oscillatory solution of (2.27).