Kriteria Osilasi dari Persamaan Diferensial Tundaan Orde Satu dengan Satu Argumen

Anita T. Kurniawati, Kriteria Osilasi dari Persamaan Diferensial Tundaan Orde Satu dengan Satu Argumen, Jurnal Matematika Murni dan Terapan EPSILON, vol. 1 no. 1, ISSN: 1978-4422.

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Abstract

In general, a system are modeling by differential equation. The realistic model is better if presented by delay differential equation (dde). It is difficult to obtain the analytical solution of dde, therefore, we study the solution behavior of this system. One of the behavior of differential equations is oscillation. In this paper we study the oscillation criteria of dde, there is

$$x'(t) + p(t) x (t – \tau) = 0$$

where $$p(t) > 0$$ is a continuous function and $$\tau$$ is a positive constant. We obtain the sufficient condition such that the oscillation occur in dde. Then we give example and its graphic with matlab.

Key words: delay differential equation (dde), oscillation, matlab.

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