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EXPONENTIAL STABILITY FOR DIFFERENCE EQUATIONS WITH MAXIMUM: THEORETICAL STUDY AND COMPUTER SIMULATIONS

Snezhana Hristova, Kremena Stefanova, Angel Golev

Abstract


Difference equations with a special type of delay is studied. Thistype of delay is characterized by the maximum value of the unknown function onthe past time interval with a constant length. It is studied the exponential stability.Some sufficient conditions are theoretically proved and computer simulated on severalexamples. The influence of the type of the coefficients is illustrated.

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