THIRD ORDER NON-CONVEX RANDOM DIFFERENTIAL INCLUSION

Main Article Content

Dilip Sambhajirao Palimkar
Rajkumar N. Ingle

Abstract

 We  prove the existence of random solution for the third order initial value problem of  non-convex random  differential  inclusion  through  random fixed  point theory. 

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How to Cite
Palimkar, D. S., & Ingle, R. N. (2014). THIRD ORDER NON-CONVEX RANDOM DIFFERENTIAL INCLUSION. Journal of Global Research in Mathematical Archives(JGRMA), 1(9), 15–22. Retrieved from https://jgrma.com/index.php/jgrma/article/view/52
Section
Research Paper
Author Biographies

Dilip Sambhajirao Palimkar, Vasantrao Naik College,Nanded.

Asso.Professor,

Department of Mathematics,

Vasantrao Naik College,Nanded[MS].

PIN-431603 INDIA

Rajkumar N. Ingle, B.S.College,Basmatnagar

Asso.Professor,

Department of Mathematics,

B.S.College,Basmatnagar,Dist.;-Hingoli[MS].

 INDIA

 

References

. Aubin J. and A. Cellina, Differential Inclusions, Springer-Verlag, 1984.

. B. C. Dhage, Monotone increasing multi-valued random operators and differential inclusions, Nonlinear Funct. Anal. and Appl. 12, 2007 .

. B. C. Dhage, S. K. Ntouyas, D. S. Palimkar, Monotone increasing multi-valued condensing random operators and random differential inclusions, Electronic Journal Qualitative Theory of Differential Equation, 2006, Vol. 15, 1-20.

. A. Granas and J. Dugundji, Fixed Point Theory, Springer-Verlag

. S. Hu and N. S. Papageorgiou, Hand Book of Multi-valued Analysis Vol.-I, Kluwer Academic Publisher, Dordrechet, Boston, London, 1997.

. K. Kuratowskii and C. Ryll-Nardzeuskii, A general theorem on selectors, Bull. Acad. Pol.Sci. Ser. Math. Sci. Astron. Phy. 13, 1965, 397-403.

. A Lasota and Z. Opial, An application of Kakutani-Ky Fan theorem in the theory of ordinary differential equations, Bull. Acad. Pol. Sci. Ser. Sci. Math. Astronom. Phy. 13, 1965, 781-786.

. A. Nowak, Applications of random fixed points theorem in the theory of generalized random differential equations, Bull. Polish. Acad. Sci. 34, 1986, 487-494.

. D.S. Palimkar, Existence Theory for Second Order Random Differential Inclusion, International Journal of Advances in Engineering, Science and Technology, Vol. 2, No. 3, 2012.

. D.S. Palimkar, Boundary Value Problem of Second Order Differential Inclusion , International Journal of Mathematics Research, Vol. 4, No. 5, 2012.

. D.S. Palimkar, Some Studies in Random Differential Inclusions, Lambert Publication ,Germany,2012.