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Existence and stability solutions of nonlinear stochastic functional partial integrodifferential equations with infinite delay

Author

Listed:
  • Chinnasamy Parthasarathy
  • M. Mallika Arjunan
  • A. Vinodkumar

Abstract

In this paper, we are focused upon the results on existence, uniqueness and stability of mild solution for stochastic functional integrodifferential equations with non-Lipschitz condition. The theory of resolvent operator is utilised to exhibit the existence of these mild solutions. The results are obtained by using the method of successive approximation and Bihari's inequality. Finally, an example is provided for demonstration.

Suggested Citation

  • Chinnasamy Parthasarathy & M. Mallika Arjunan & A. Vinodkumar, 2016. "Existence and stability solutions of nonlinear stochastic functional partial integrodifferential equations with infinite delay," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 9(1), pages 65-78.
    • Handle: RePEc:ids:ijmore:v:9:y:2016:i:1:p:65-78
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