OSCILLATION AND NONOSCILLATION CRITERIA FOR IMPULSIVE DELAY DIFFERENTIAL EQUATIONS WITH PERRON INTEGRABLE COEFFICIENTS
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2022-01-01
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We present new criteria for the existence of oscillatory and nonoscillatory solutions of measure delay differential equations with impulses. We deal with the integral forms of the differential equations using the Perron and the Perron-Stieltjes integrals. Thus the functions involved can have many discontinuities and be of unbounded variation and yet we obtain good results which encompass those in the literature. Examples are given to illustrate the main results.
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delay differential equations, impulses, measure differential equations, nonoscillation, oscillation, Perron integral, Perron-Stieltjes integral
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Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, v. 29, n. 2, p. 125-137, 2022.