Practical stability and boundedness criteria of impulsive differential system with initial time difference

In this paper, an impulsive differential system is investigated for the first time for practical stability and boundedness criteria with respect to initial time difference. The investigations are carried out by perturbing Lyapunov functions and by using comparison results. A generalized Lyapunov function has been used for the investigation. The present results indicate that the stability criteria significantly depend on the moment of impulses.Publisher's Versio

COVID-19 Challenges to Teaching Global Mindset: A Developing Countries’ Perspective

COVID-19 pandemic has affected one and all in unison. Different sectors, including the educational sector, have been disproportionately affected in developing and the least developed nations. Against this backdrop, this paper, while considering the impact that the pandemic has had on the education sector in developing nations viz. – India, South Africa, and Bangladesh, aims to bring to light the importance of teaching global mindset as there are several unique implications, challenges and opportunities that lie ahead for these nations. Using qualitative methodology, this research adopts an exploratory approach to understand how, among other things, the education sector can catalyze the development and teaching of a global mindset in the selected three countries and can be responsive even beyond. Ten semi-structured interviews have been conducted with “institutional heads/directors” across higher educational institutions in the nations under study to answer the research question that brings out three themes: global and local problem solving, resources, and international experiential learning and exposure toward developing a global mindset. Finally, while corroborating the findings of the research, the article also proposes a new definition of a “global mindset”

Impact of initial time difference on stability criteria of impulsive differential equations

In this paper, an impulsive differential system is investigated for the first time for several stability criteria relative to initial time difference. The investigations are carried out by perturbing Lyapunov functions and by using comparison results. A generalized Lyapunov function has been used for the investigation.The results that are obtained to investigate the stability significantly depend on the moment of impulses. An example is given to illustrate the derived result.Publisher's Versio