On discontinuous implicit and explicit abstract impulsive boundary value problems

DOI10.1016/S0362-546X(98)00305-8zbMath0985.34050OpenAlexW2075638552MaRDI QIDQ1582099

Siegfried Carl, Seppo Heikkilä

Publication date: 10 May 2002

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/s0362-546x(98)00305-8

zbMATH Keywords

impulsive differential equationsimplicit differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Ordinary differential equations with impulses (34A37) Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear differential equations in abstract spaces (34G20)

Related Items (6)

Perturbation technique for a class of nonlinear implicit semilinear impulsive integro-differential equations of mixed type with noncompactness measure ⋮ Equations containing locally Henstock-Kurzweil integrable functions. ⋮ Monotone method for a system of nonlinear mixed type implicit impulsive integro-differential equations in Banach spaces ⋮ On functional improper Volterra integral equations and impulsive differential equations in ordered Banach spaces ⋮ A method of L-quasi-upper and lower solutions for boundary value problems of impulsive differential equation in Banach spaces ⋮ On the existence of solutions for nonlinear first-order implicit impulsive integro-differential equations

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