• EXPONENTIAL STABILITY OF SECOND ORDER NEUTRAL STOCHASTIC EVOLUTION EQUATIONS WITH INFINITE DELAYS

R. Maheswari*, S. Karunanithi

Abstract


This paper is concerned with the exponential stability of second order neutral stochastic evolution equation with infinite delays.  By applying fixed point principle authors present sufficient conditions to ensure that, the mild solutions are exponentially stable in p-th moment. An example is provided to illustrate the effectiveness of the proposed result.


Keywords


Exponential stability, Infinite delay, Cosine family, Fixed point theorem.

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