On singular nonlinear distributional and impulsive initial and boundary value problems

DOI10.1186/1687-2770-2011-24zbMath1276.34007OpenAlexW2148686172WikidataQ59268595 ScholiaQ59268595MaRDI QIDQ359535

Seppo Heikkilä

Publication date: 12 August 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2011-24

zbMATH Keywords

distributionaldistributioninitial value problemsingularboundary value problemintegralcontinuousprimitiveregulated

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Ordinary differential equations with impulses (34A37) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Applications of operator theory to differential and integral equations (47N20) Discontinuous ordinary differential equations (34A36)

Related Items (2)

On the solvability of distributional and impulsive systems of Cauchy problems ⋮ The continuous primitive integral in the plane

Uses Software

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Cites Work

• Differential equations with non-absolutely integrable functions in ordered Banach spaces
• Uniqueness and existence results for implicit impulsive differential equations
• Impulsive retarded differential equations in Banach spaces via Bochner-Lebesgue and Henstock integrals
• On singular, functional, nonsmooth and implicit phi-Laplacian initial and boundary value problems
• On improper integrals and differential equations in ordered Banach spaces

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