Peano's theorem for implicit differential equations

DOI10.1006/jmaa.2000.7395zbMath0982.34003OpenAlexW1991628791MaRDI QIDQ5940335

De-Sheng Li

Publication date: 22 March 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7395

zbMATH Keywords

lower and upper solutionsimplicit differential equationsPeano's theorem

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

Related Items (8)

Perturbation technique for a class of nonlinear implicit semilinear impulsive integro-differential equations of mixed type with noncompactness measure ⋮ Implicit Fractional Differential Equations in Banach Spaces via Picard and Weakly Picard Operator Theory ⋮ Melnikov theory for nonlinear implicit ODEs ⋮ Melnikov theory for weakly coupled nonlinear RLC circuits ⋮ On the existence of solutions connecting singularities in nonlinear RLC circuits ⋮ A Survey on the Melnikov Theory for Implicit Ordinary Differential Equations with Applications to RLC Circuits ⋮ Existence of periodic solutions for fully nonlinear first-order differential equations ⋮ Implicit fractional differential equations via the Liouville-Caputo derivative

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