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Random differential inequalities and comparison principles for nonlinear hybrid random differential equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 1، دوره 6، شماره 2، بهمن 2015، صفحه 1-19 اصل مقاله (413.73 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2015.228 | ||
| نویسندگان | ||
| Bapurao C. Dhage* ؛ Ram G. Metkar | ||
| Kasubai, Gurukul Colony, Ahmedpur-413 515, Dist: Latur, Maharashtra, India | ||
| تاریخ دریافت: 20 مرداد 1392، تاریخ بازنگری: 18 مرداد 1393، تاریخ پذیرش: 21 دی 1393 | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Random differential inequalities؛ existence theorem؛ comparison principle؛ extremal solutions | ||
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