Stability in terms of two measures for a class of semilinear impulsive parabolic equations

DOI10.1070/SM2013V204N04ABEH004309zbMath1273.35042OpenAlexW2087874838MaRDI QIDQ2841125

Aleksandr I. Dvirny, Vitalii I. Slyn'ko

Publication date: 24 July 2013

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2013v204n04abeh004309

zbMATH Keywords

impulsive effectODE-PDE systemstability in a conesemiordering

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Stability in context of PDEs (35B35) Semilinear parabolic equations (35K58) Comparison principles in context of PDEs (35B51) Impulsive partial differential equations (35R12)

Related Items (3)

Stability of Abstract Interconnected Systems with a Possibly Unstable Component ⋮ Almost periodic solutions of Lotka-Volterra systems with diffusion and pulsed action ⋮ Almost periodic solutions of the Lotka-Volterra systems with diffusion and nonfixed times of pulsed action

Cites Work

• Stability of solutions to impulsive differential equations in critical cases
• Approximation of solutions to impulsive functional differential equations
• Asymptotic stability and instability of the solutions of systems with impulse action
• Geometric theory of semilinear parabolic equations
• Boundedness for impulsive delay differential equations and applications to population growth models.
• Generalized variation of parameters and stability of impulsive systems
• The global stability conditions for solutions of nonstationary differential equations with instant impulsive effects in pseudolinear form
• Differential equations with impulse effects. Multivalued right-hand sides with discontinuities
• Osillation criteria for impulsive parobolic systems^*
• The direct method of Liapunov in stability problems of elastic systems
• Some modern aspects of the theory of impulsive differential equations
• Comparison principles for impulsive parabolic equations with applications to models of single species growth
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