Lipschitzian solutions of the implicit Cauchy problem \(g(x')=f(t,x)\), \(x(0)=0\), with \(f\) discontinuous in \(x\).

DOI10.1007/BF02844891zbMath0578.34002OpenAlexW2052597193MaRDI QIDQ1066332

Biagio Ricceri

Publication date: 1985

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02844891

zbMATH Keywords

Lipschitzian solutionsimplicit Cauchy problem

Mathematics Subject Classification ID

General theory for ordinary differential equations (34A99)

Related Items (10)

Some qualitative properties of solutions of higher-order lower semicontinus differential inclusions ⋮ On the Cauchy problem for the differential equation f(t, x, x′, …, x^(k)) = 0 ⋮ On the Cauchy problem for a class of differential inclusions with applications ⋮ First order discontinuous implicit differential equations with discontinuous boundary conditions ⋮ Elliptic equations and differential inclusions ⋮ Peano's theorem for implicit differential equations ⋮ Implicit elliptic boundary-value problems with discontinuous nonlinearities ⋮ Unnamed Item ⋮ Existence of periodic solutions for fully nonlinear first-order differential equations ⋮ Implicit fractional differential equations via the Liouville-Caputo derivative

Cites Work

• The differential equation x=fox
• On Lusin's condition for the inverse function
• Differential equations with discontinuous right-hand side
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