Oscillation of nonlinear impulsive differential equations with piecewise constant arguments
نویسندگان
چکیده
denotes the greatest integer function, and x−1, x0 are given real numbers. Since 1980’s differential equations with piecewise constant arguments have attracted great deal of attention of researchers in mathematical and some of the others fields in science. Piecewise constant systems exist in a widely expanded areas such as biomedicine, chemistry, mechanical engineering, physics, etc. These kind of equations such as Eq.(1) are similar in structure to those found in certain sequential-continuous models of disease dynamics [1]. In 1994, Dai and Sing [2] studied the oscillatory motion of spring-mass systems with subject to piecewise constant forces of the form f(x[t]) or f([t]). Later, they improved an analytical and numerical method for solving linear and nonlinear vibration problems and they showed that a function f([N(t)]/N) is a good approximation to the given continuous function f(t) if N is sufficiently large [3].
منابع مشابه
Oscillation of a Class of Impulsive Differential Equations with Continuous and Piecewise Constant Arguments
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