publication . Article . Other literature type . 2010

Integral stability in terms of two measures for impulsive functional differential equations

S.G. Hristova;
Open Access
  • Published: 01 Jan 2010 Journal: Mathematical and Computer Modelling, volume 51, issue 1-2, pages 100-108 (issn: 0895-7177, Copyright policy)
  • Publisher: Elsevier BV
Abstract
This paper investigates integral stability in terms of two measures for non-linear impulsive functional differential equations. The definition of integral stability in terms of two measures is introduced. This definition depends significantly on the impulses. The Razumikhin method, piecewise continuous Lyapunov functions and comparison scalar impulsive ordinary differential equations have been employed.
Subjects
free text keywords: Modelling and Simulation, Computer Science Applications, Mathematics, Differential equation, Numerical stability, Numerical analysis, Functional equation, Functional integration, Ordinary differential equation, Mathematical analysis, Lyapunov function, symbols.namesake, symbols, Recurrence relation
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