Systems of singular differential equations with pulse action

DOI10.1186/1687-1847-2013-186zbMath1390.34040OpenAlexW2160595273WikidataQ59299817 ScholiaQ59299817MaRDI QIDQ1648737

Martina Langerová, Miroslava Růžičová, Evgenij Voitushenko, Alexander A. Boichuk

Publication date: 27 June 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-186

zbMATH Keywords

existence of solutionssingular systemsimpulsive actioncentral canonical formMoore-Penrose pseudoinverse matrix

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Bifurcation theory for ordinary differential equations (34C23)

Related Items (3)

Existence of an invariant torus for a degenerate linear extension of dynamical systems ⋮ A Noetherian impulsive control problem ⋮ Weakly nonlinear impulsive problems for degenerate differential systems

Cites Work

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• Existence conditions for bounded solutions of weakly perturbed linear impulsive systems
• Bifurcation of solutions of singular Fredholm boundary value problems
• Fredholm's boundary-value problems for differential systems with a single delay
• Solutions of linear impulsive differential systems bounded on the entire real axis
• Canonical Forms and Solvable Singular Systems of Differential Equations
• Differential-Algebraic Systems as Differential Equations on Manifolds
• Adjoint and Self-Adjoint Boundary Value Problems with Interface Conditions

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