REVIEW 1 cited by
Solvability and Optimal Controls of Impulsive Stochastic Evolution Equations in Hilbert Spaces
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
This paper investigates the solvability and optimal control of a class of impulsive stochastic differential equations (SDEs) within a Hilbert space setting. First, we establish the existence and uniqueness of mild solutions for the proposed impulsive stochastic system, leveraging fixed-point theorems and appropriate analytical techniques. Next, we identify and derive the necessary conditions for the existence of optimal control pairs, ensuring the feasibility and effectiveness of the control solutions. Finally, to validate and demonstrate the practical applicability of our theoretical findings, we provide a detailed example showcasing the utility of the results in real-world scenarios.
Forward citations
Cited by 1 Pith paper
-
The existence and controllability of nonautonomous system influenced by impulses on both state and control
A fixed point and adjoint resolvent argument is used to claim existence and approximate controllability for nonautonomous impulsive integro-differential systems, with an illustrative heat equation example.
Discussion (0). Continue with ORCID to comment.