Existence and uniqueness of solutions to singular ODE's

DOI10.1007/S00013-009-0093-5zbMath1193.34010OpenAlexW2022327867MaRDI QIDQ2380756

Przemysław Górka, Piotr Rybka

Publication date: 12 April 2010

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/141648

zbMATH Keywords

existenceuniquenessordinary differential equationweighted spaces

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Discontinuous ordinary differential equations (34A36)

Related Items (4)

On fractional Langevin equation involving two fractional orders ⋮ On fractional Langevin equation involving two fractional orders in different intervals ⋮ Existence of solutions of BVPs for fractional Langevin equations involving Caputo fractional derivatives ⋮ An analytical improvement of a study of nonlinear Langevin equation involving two fractional orders in different intervals

Cites Work

• Unnamed Item
• Unnamed Item
• On non-constant Lipschitz factors in the uniqueness problem of ordinary differential equations
• Uniqueness and existence results for ordinary differential equations
• A remark on uniqueness for some ODE
• A uniqueness theorem and a counterexample for ordinary differential equations
• Weakly Lipschitzian mappings and restricted uniqueness of solutions of ordinary differential equations
• Kamke's Uniqueness Theorem

This page was built for publication: Existence and uniqueness of solutions to singular ODE's