On a class of differential equations of parabolic type with impulsive action

DOI10.1134/S0012266108020110zbMath1193.34122OpenAlexW2038860263MaRDI QIDQ843668

A. D. Myshkis, Larisa Vlasenko, Anatoliy Rutkas

Publication date: 15 January 2010

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266108020110

zbMATH Keywords

existenceuniquenessimplicit equationsImpulsive partial differential equations

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear differential equations in abstract spaces (34G20) Impulsive partial differential equations (35R12)

Related Items (9)

On a differential game in an abstract parabolic system ⋮ On a Differential Game in a System Described by a Functional Differential Equation ⋮ Stochastic optimal control of a descriptor system ⋮ Decomposition of descriptor control systems ⋮ Stochastic impulse control of parabolic systems of Sobolev type ⋮ On the stability of solutions of evolutionary equations with nonfixed times of pulse actions ⋮ Singular differential equations and \(g\)-Drazin invertible operators ⋮ Global boundedness and stability of solutions of nonautonomous degenerate differential equations ⋮ On a class of impulsive functional-differential equations with nonatomic difference operator

Cites Work

• Geometric theory of semilinear parabolic equations
• Degenerate non-stationary differential equations with delay in Banach spaces.

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