First-order nonlinear differential equations with state-dependent impulses

DOI10.1186/1687-2770-2013-195zbMath1297.34037OpenAlexW2113071512WikidataQ59299211 ScholiaQ59299211MaRDI QIDQ2251608

Lukáš Rachůnek, Irena Rachůnková

Publication date: 14 July 2014

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-195

zbMATH Keywords

existencetransversality conditionsKurzweil-Stieltjes integralstate-dependent impulsesgeneral linear boundary conditionsfirst-order ODE

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (4)

Unnamed Item ⋮ Existence principle for higher-order nonlinear differential equations with state-dependent impulses via fixed point theorem ⋮ Fixed point problem associated with state-dependent impulsive boundary value problems ⋮ Distributional van der Pol equation with state-dependent impulses

Cites Work

• First order impulsive initial and periodic problems with variable moments
• Periodic boundary value problem for first order differential equations with impulses at variable times
• Impulsive BVPs with nonlinear boundary conditions for the second order differential equations without growth restrictions
• Periodic Duffing delay equations with state dependent impulses
• Periodic Liénard-type delay equations with state-dependent impulses
• Singular Dirichlet problem for ordinary differential equation with impulses

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