Estimates for the Cauchy function of linear singular differential equations and some applications

DOI10.1134/S0012266110010052zbMath1245.34010MaRDI QIDQ981736

Tariel I. Kiguradze

Publication date: 2 July 2010

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

zbMATH Keywords

Cauchy problemlocally integrable functionsingular nonhomogeneous linear ODE

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear ordinary differential equations and systems (34A30)

Related Items (5)

Weighted Cauchy problem for differential equations with deviating arguments ⋮ Weighted Cauchy problem for nonlinear singular differential equations with deviating arguments ⋮ On linear ODEs with a time singularity of the first kind and unsmooth inhomogeneity ⋮ On singular BVPs with nonsmooth data: analysis of the linear case with variable coefficient matrix ⋮ The focal boundary value problem for strongly singular higher-order nonlinear functional-differential equations

Cites Work

• Singular boundary-value problems for ordinary second-order differential equations
• On a singular multi-point boundary value problem
• Ordinary Differential Equations
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