TIME-DEPENDENT NEUTRAL STOCHASTIC DELAY PARTIAL DIFFERENTIAL EQUATIONS DRIVEN BY ROSENBLATT PROCESS IN HILBERT SPACE

Öz

In this paper, we investigate a class of time-dependent neutral stochastic functional dierential equations with nite delay driven by Rosenblatt process in a real separable Hilbert space. We prove the existence of unique mild solution by the well-known Banach xed point principle. At the end we provide a practical example in order to illustrate the viability of our result.

Anahtar Kelimeler

• Neutral stochastic evolution equations,Evolution operator,Rosenblatt process,Wiener integral,Banach fixed point theorem

Kaynakça

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