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Dhage, B. C.; Ntouyas, S. K.; Patil, V. S.

Some PPF dependent random fixed point theorems and periodic boundary value problems of random differential equation. (English) Zbl 1253.47040

Afr. Diaspora J. Math. 12, No. 2, 26-42 (2011).
In this paper, the authors prove some random fixed point theorems with PPF (past, present and future) dependence for random operators in separable Banach spaces satisfying certain contraction and compactness type conditions and then apply those to the class of periodic boundary value problems of first order functional random differential equations which, in general, may depend upon the past, present and future.
Reviewer: Ruhollah Jahanipur (Kashan)

MSC:

47H40 Random nonlinear operators
47N20 Applications of operator theory to differential and integral equations
34K10 Boundary value problems for functional-differential equations

Keywords:

separable Banach space; random fixed point theorem; functional differential equation; random solution; PPF dependence
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\textit{B. C. Dhage} et al., Afr. Diaspora J. Math. 12, No. 2, 26--42 (2011; Zbl 1253.47040)
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References:

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