STABILITY REGIONS FOR LINEAR EQUATIONS WITH PIECEWISE CONTINUOUS DELAY

Suzinei Aparecida Siqueira MARCONATO[1]

§    ABSTRACT: In this article, stability results are obtained of equations of the form x’(t) = ax(t) + bx([t-r]), where a and b are real constants 0 £ r £ 1, and [t] denotes the greatest integer function. The regions of stability for 0 £ r £ 1 and r = 0 are found and compared.

§    KEYWORDS: Stability; differential equations; delay.

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[1] Departamento de Matemática –Instituto de Geociências e Ciências Exatas - UNESP – 13500-900 – Rio Claro – SP.