New Lipschitz–type conditions for uniqueness of solutions of ordinary differential equations

Cid Araújo, José ÁngelLópez Pouso, RodrigoRodríguez López, Jorge2022-11-092022-11-092022Journal of Mathematical Analysis and Applications 514 (2022) 126349http://hdl.handle.net/10347/29394We present some generalized Lipschitz conditions which imply uniqueness of solutions for scalar ODEs. We illustrate the applicability of our results with examples not covered by earlier Lipschitz–type uniqueness testseng© 2022 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/)Atribución 4.0 Internacionalhttp://creativecommons.org/licenses/by/4.0/UniquenessOrdinary differential equationLipschitz conditionOsgood conditionNew Lipschitz–type conditions for uniqueness of solutions of ordinary differential equationsjournal article10.1016/j.jmaa.2022.1263490022-247Xopen access