Makasu, Cloud2023-02-092023-02-092015Makasu, C. (2015). On maximal inequalities via comparison principle. Journal of Inequalities and Applications, 348. 10.1186/s13660-015-0873-31029-242Xhttps://doi.org/10.1186/s13660-015-0873-3http://hdl.handle.net/10566/8396Under certain conditions, we prove a new class of one-sided, weighted, maximal inequalities for a standard Brownian motion. Our method of proof is mainly based on a comparison principle for solutions of a system of nonlinear first-order differential equations.enBrownian motionNonlinear equationsMathematicsApplied MathematicsArticle