Huseyin Bereketoglu and Gizem S. Oztepe: Asymptotic constancy for impulsive differential equations with piecewise constant argument, p.181-192

Abstract:

After studying the existence of the unique solution $x\left( t\right)$ of initial value problem (1.1)-(1.3), we prove that the limit of $x\left( {\small t}\right)$ is a real constant as $t\rightarrow \infty$. Also, we formulate this limit value in terms of the initial condition (1.3) and the solution of the integral equation (2.3).

Key Words: Asymptotic constancy, Impulsive differential equation, Differential equation with piecewise constant arguments.

2000 Mathematics Subject Classification: Primary: 34K06;
Secondary: 34K45.

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