A uniqueness criterion for ordinary differential equations

DOI10.1016/j.jde.2022.09.035OpenAlexW4303415454MaRDI QIDQ2097014

Yanyan Li

Publication date: 11 November 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.09.035

zbMATH Keywords

uniquenessinitial value problem

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45)

Related Items

Sharp convex generalizations of stochastic Gronwall inequalities ⋮ Nagumo-type uniqueness and stability for nonlinear differential equations on semi-infinite intervals ⋮ On the pathwise uniqueness of solutions to stochastic differential equations

Cites Work

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• The trajectories of particles in Stokes waves
• Lipschitz spaces, smoothness of functions, and approximation theory
• The differential equation x=fox
• Log-Lipschitz regularity and uniqueness of the flow for a field in \((W_{\text{loc}}^{n/p+1,p}(\mathbb{R}^n))^n\)
• Sobolev estimates for solutions of the transport equation and ODE flows associated to non-Lipschitz drifts
• Smooth functions
• Some remarks on Nagumo’s theorem
• Fourier Analysis and Nonlinear Partial Differential Equations
• Particle trajectories in extreme Stokes waves
• A Generalization of the Nagumo Uniqueness Criterion
• A note on the uniqueness of solutions of ordinary differential equations
• Weierstrass functions in Zygmund’s class
• Differentiability of functions in the Zygmund class
• Particle trajectories in solitary water waves
• A uniqueness theorem for ordinary differential equations involving smooth functions
• On the Convergence of Successive Approximations
• Ordinary Differential Equations