On Retention of Eventual Stability of Perturbed Impulsive Differential Systems
Journal Title: Journal of Mathematical and Fundamental Sciences - Year 2016, Vol 48, Issue 1
Abstract
In this paper, a system of non nonlinear differential equations with impulse effect at fixed time moments is considered and criteria for retention of uniform eventual stability of its perturbed impulsive differential systems under vanishing perturbations are established. Sufficient conditions are obtained by using piecewise continuous Lyapunov functions. An example is also worked out to illustrate the results.
Authors and Affiliations
Anju Sood, Sanjay Kumar Srivastava
Keywords
Related Articles
- EP ID EP203097
- DOI 10.5614/j.math.fund.sci.2016.48.1.1
- Views 141
- Downloads 0
Respective Influences of Indian Ocean Dipole and El Niño-Southern Oscillation on Indonesian Precipitation
The respective influences of the Indian Ocean Dipole (IOD) and El Niño-Southern Oscillation (ENSO) on Indonesian precipitation were evaluated using monthly precipitation data from the Global Precipitation Climatology Cen...
Robust Estimators for the Correlation Measure to Resist Outliers in Data
The objective of this research was to propose a composite correlation coefficient to estimate the rank correlation coefficient of two variables. A simulation study was conducted using 228 situations for a bivariate norma...
Development of a Low-Cost TiO2/CuO/Cu Solar Cell by using Combined Spraying and Electroplating Method
A simple method is proposed to develop a low-cost TiO2/CuO/Cu based solar cell. The cell is made by employing a lower grade (technical grade) of TiO2 as the active material. CuO powder is synthesized using a wet chemical...
The Study of Effect of Toxic Metal on Plant Growth Dynamics with Time Lag: A Two-Compartment Model
A two-compartment mathematical model is proposed for the study of individual plant growth dynamics with time lag due to the presence of toxic metals in the soil. It is assumed in the model that nutrient uptake by the roo...
Inhibition of Mammary Gland Cancer Development by Propolis and Mangostin in Female Mice Balb/C
The development of breast cancer involves many processes, including angiogenesis and metastasis. Some factors play a major role in angiogenesis, such as HIF-1α, and in metastasis, such as FAK and Wnt2. The aim of this st...