English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

For $\alpha\in (0,1)$, we consider stochastic differential equations drivenby one-sided stable processes of order $\alpha$: \[dX_t= \phi(X_{t-})\ dZ_t.\]We prove that pathwise uniqueness holds for this equation under the assumptionsthat $\phi$ is continuous, non-decreasing and positive on $\R$. Acounterexample is given to show that the positivity of $\phi$ is crucial forpathwise uniqueness to hold.

Pathwise uniqueness of one-dimensional SDEs driven by one-sided stable processes