[1] S. Busenberg and K. L. Cooke, “Models of Vertically Transmitted Diseases with Sequential-Continuous Dynamics, Nonlinear Phenomena in Mathematical Sciences ...

I just noticed that the textbook lacks an example relevant to this exercise group, which is a type of problem we frequently assess: Given a piecewise-defined function, we want to know if it is ...

This work develops the Milstein scheme for commutative stochastic differential equations with piecewise continuous arguments (SDEPCAs). As far as we know, although there have been several papers ...

Abstract: This paper is concerned with a class of generalized impulsive stochastic functional differential systems with delayed impulses. By employing piecewise continuous Lyapunov functions and the ...

Linear Periodic Differential Equations (PDDEs) have been of importance for studying problems of vibration, mechanics, astronomy, electric circuits, biology among others in [1] several examples of ...

This is the second post (here’s the first one) about an approach to introducing the derivative to calculus students that is counter to what I’ve seen in textbooks and other traditional treatments of ...

Continuous-depth neural networks, such as the Neural Ordinary Differential Equations (ODEs), have aroused a great deal of interest from the communities of machine learning and data science in recent ...

Abstract: In this paper, a highly efficient biologically inspired Lévy-flight firefly algorithm based optimally weighted piecewise-gamma-corrected Grumwald-Letnikov (GL) fractional differential (FD) ...

To improve the reliability and accuracy of dynamic machine in design process, high precision and efficiency of numerical computation is essential means to identify dynamic characteristics of ...