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Article Contents

# Lyapunov-Razumikhin method for differential equations with piecewise constant argument

• At the first time, Razumikhin technique is applied for differential equations with piecewise constant argument of generalized type [1, 2]. Sufficient conditions are established for stability, uniform stability and uniform asymptotic stability of the trivial solution of such equations. We also provide appropriate examples to illustrate our results.
Mathematics Subject Classification: 34A36, 34D20, 34K20, 34K60, 92D25.

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