We introduce a new framework to deal with rough differential equations based on flows and their approximations. Our main result is to prove that measurable flows exist under weak conditions, even solutions to the corresponding rough differential equations are not unique. We show that under additional conditions of the approximation, there...
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May 2, 2019 (v1)Journal articleUploaded on: December 4, 2022
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2020 (v1)Journal article
Solutions of Rough Differential Equations (RDE) may be defined as paths whose increments are close to an approximation of the associated flow. They are constructed through a discrete scheme using a non-linear sewing lemma. In this article, we show that such solutions also solve a fixed point problem by exhibiting a suitable functional....
Uploaded on: December 4, 2022 -
January 2008 (v1)Journal article
Matrix metalloproteinases (MMPs) have been implicated in the hepatic injury induced after cold ischemia-warm reperfusion (CI-WR), by altering the extracellular matrix (ECM), but their precise role remains unknown. The hepatic MMP expression was evaluated after 2 conditions of CI (4 degrees C for 24 and 42 hours: viable and nonviable livers)...
Uploaded on: December 4, 2022