Random differential inequalities and comparison principles for nonlinear hybrid random differential equations

نویسندگان

  • Bapurao C. Dhage Kasubai, Gurukul Colony, Ahmedpur-413 515, Dist: Latur, Maharashtra, India
  • Ram G. Metkar Kasubai, Gurukul Colony, Ahmedpur-413 515, Dist: Latur, Maharashtra, India
چکیده مقاله:

 In this paper, some basic results concerning strict, nonstrict inequalities, local existence theorem and differential inequalities  have been proved for an IVP of first order hybrid  random differential equations with the linear perturbation of second type. A comparison theorem is proved and  applied to prove the uniqueness of random solution for the considered perturbed random differential equation. Finally an existence of extremal random solution is obtained in  between the given upper and lower random solutions.

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random differential inequalities and comparison principles for nonlinear hybrid random differential equations

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عنوان ژورنال

دوره 6  شماره 2

صفحات  1- 19

تاریخ انتشار 2015-06-08

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