“…In [5] Bereketoglu and Karakoc obtained su¢ cient conditions for the asymptotic constancy of the solutions of a system of nonhomogeneous linear impulsive pantograph equations. In [16], [7], [8] and [6] authors considered the asymptotic constancy of di¤erent types of impulsive di¤erential equations with piecewise constant arguments and formulated the limit value of the solutions in terms of the initial condition and the solution of the integral equation for each type of equations.…”
Abstract. We prove the existence and uniqueness of the solutions of an impulsive di¤erential system with a piecewise constant argument. Moreover, we obtain su¢ cient conditions for the convergence of these solutions and then prove that the limits of the solutions can be calculated by a formula.
“…In [5] Bereketoglu and Karakoc obtained su¢ cient conditions for the asymptotic constancy of the solutions of a system of nonhomogeneous linear impulsive pantograph equations. In [16], [7], [8] and [6] authors considered the asymptotic constancy of di¤erent types of impulsive di¤erential equations with piecewise constant arguments and formulated the limit value of the solutions in terms of the initial condition and the solution of the integral equation for each type of equations.…”
Abstract. We prove the existence and uniqueness of the solutions of an impulsive di¤erential system with a piecewise constant argument. Moreover, we obtain su¢ cient conditions for the convergence of these solutions and then prove that the limits of the solutions can be calculated by a formula.
Bu makaleye şu şekilde atıfta bulunabilirsiniz(To cite to this article): Çakan Ü., "Salgın hastalıkların yayılmasında yüksek riskli bireylerin dikkate alındığı bir matematiksel modelin analizi", Politeknik Dergisi, *(*): *, (*).
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