Necessary conditions of optimality for a class of stochastic differential equations on UMD Banach spaces

Abstract

In this paper we consider stochastic evolution equations on UMD-Banach spaces. In a recent paper we proved existence of optimal controls. Here in this paper we develop necessary conditions of optimality whereby one can construct the optimal controls. For illustration we use these results to treat the LQR problem in sufficient details under two sets of alternative and distinct assumptions.

Authors and Affiliations

NasirUddin Ahmed

Keywords

Related Articles

Existence and uniqueness of solutions for a fractional p-Laplacian problem in RN

In this article, we use the Browder-Minty theorem to establish the existence and uniqueness of a weak solution for a fractional p-Laplace equation in RN.

Pointwise strong approximation of almost periodic functions

We consider the class GM(2β) in pointwise estimate of the deviations in strong mean of almost periodic functions from matrix means of partial sums of their Fourier series.

Necessary conditions of optimality for a class of stochastic differential equations on UMD Banach spaces

In this paper we consider stochastic evolution equations on UMD-Banach spaces. In a recent paper we proved existence of optimal controls. Here in this paper we develop necessary conditions of optimality whereby one can...

A new existence results for fractional integro-differential equations of order αϵ(1,2] with nonlocal conditions in Banach spaces

In this manuscript, we examine for a class of fractional integro-differential equations (abbreviated by, FIDEs) of order αϵ(1,2] with nonlocal conditions (abbreviated by, NLCs) in Banach spaces. In the beginning, a more...

Lefschetz fixed point theory for admissible maps on Hausdorff topological spaces

A variety of deterministic and random Lefschetz fixed point theorems for compact admissible maps on Hausdorff topological spaces are presented in this paper.

Download PDF file
  • EP ID EP482072
  • DOI 10.7151/dmdico.1200
  • Views 37
  • Downloads 0

How To Cite

NasirUddin Ahmed (2018). Necessary conditions of optimality for a class of stochastic differential equations on UMD Banach spaces. Discussiones Mathematicae Differential Inclusions Control and Optimization, 38(1), 15-38. https://europub.co.uk/articles/-A-482072