article Open Access
On stability of first order linear impulsive differential equations
International Journal of Statistics and Applied Mathematics · 2018 · Vol. 3(3) · pp. 231–236
Abstract
In this paper, we focus on the stability problems of first order linear impulsive differential equations. We construct an ordinary differential equation representation of the impulsive system such that it is suitable for the qualitative analysis of the later. This process is achieved by a transformation that bijectively maps the solutions of the initial value problems for impulsive differential equations to the solutions of the initial value problems for ordinary differential equations. A relationship between stability properties of impulsive differential equations and the corresponding ordinary differential equations was established.
Nonlinear Differential Equations AnalysisNumerical methods for differential equationsStability and Controllability of Differential EquationsMathematicsOrdinary differential equationDifferential equationLinear differential equationMathematical analysisIntegrating factorDifferential algebraic equationExponential integratorStability (learning theory)Initial value problem
Citations
2
FWCI
0.70
field-weighted impact
References
0
Percentile
70%
vs. same field & year
Citations per year
Citation Network
How this paper connects to the literature. Drag to explore, click any node to open that paper.