On nonlinear distributional and impulsive Cauchy problems

DOI10.1016/j.na.2011.09.018zbMath1238.34017OpenAlexW2077566670MaRDI QIDQ651154

Seppo Heikkilä

Publication date: 8 December 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.09.018

zbMATH Keywords

distributionfixed pointCauchy problemsolutionintegralminimaluniquecontinuousprimitivemaximalimpulsiveregulatedgreatestsmallest

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Applications of operator theory to differential and integral equations (47N20) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (5)

On the solvability of distributional and impulsive systems of Cauchy problems ⋮ Solving Poisson equation by distributional HK-integral: prospects and limitations ⋮ Extremal solutions of measure differential equations ⋮ On Summability, Multipliability, and Integrability ⋮ The continuous primitive integral in the plane

Uses Software

• Maple

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The regulated primitive integral
• Well-posedness results for differential and integral equations containing Henstock-Kurzweil integrable vector-valued functions
• The distributional Denjoy integral
• Uniqueness and existence results for implicit impulsive differential equations
• Well-posedness in the generalized sense of the fixed point problems for multivalued operators
• A note on well-posed null and fixed point problems
• Fixed Point Theory in Ordered Sets and Applications
• Volterra-Stieltjes integral equations with linear constraints and discontinuous solutions
• Linear distributional differential equations in the space of regulated functions

This page was built for publication: On nonlinear distributional and impulsive Cauchy problems