Journal of Applied and Pure Mathematics

  • 제4권5_6호
  • /
  • Pages.233-247
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  • 2022
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  • 2671-4000(pISSN)
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  • 2636-1612(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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EXISTENCE AND UNIQUENESS RESULT FOR RANDOM IMPULSIVE STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS WITH FINITE DELAYS

  • DIMPLEKUMAR, CHALISHAJAR (Department of Applied Mathematics, Mallory Hall, Virginia Military Institute) ;
  • K., RAMKUMAR (Department of Mathematics with CA, PSG College of Arts and Science) ;
  • K., RAVIKUMAR (Department of Mathematics, PSG College of Arts and Science)
  • 투고 : 2021.04.30
  • 심사 : 2022.09.27
  • 발행 : 2022.11.30
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초록

This manuscript addressed, the existence and uniqueness result for random impulsive stochastic functional differential equations with finite time delays. The study of random impulsive stochastic system is a new area of research. We interpret the meaning of a stochastic derivative and how it differs from the classical derivative. We prove the existence and uniqueness of mild solutions to the equations by using the successive approximation method. We conclude the article with some interesting future extension. This work extends the work of [18, 12, 20]. Finally, an example is given to illustrate the theoretical result.

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과제정보

The authors would like to thank the referees and the editor for their careful comments and valuable suggestions to improve this manuscript.

참고문헌

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