ON STABILITY OF QUANTUM STOCHASTIC DIFFERENTIAL EQUATION

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IAEME Publication

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The long run behaviour of solutions of Lipschitzian quantum stochastic differential equation (QSDE) with non-instantaneous impulse is studied. This is achieved by imposing some conditions on the coefficients associated with the map P. Using the fixed point approach, we show that a solution exists under the given conditions and subsequently establish Ulam's type stability. We present some examples to further justify its application.

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Q Science (General), QA Mathematics

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