IEEE

When is star formation episodic? A delay differential equation ‘negative feedback’ model

Abstract: We introduce a differential equation for star formation in galaxies that incorporates negative feedback with a delay. When the feedback is instantaneous, solutions approach a self-limiting ...
Scientific Research Publishing

The Riccati Equation, Differential Transform, Rational Solutions and Applications ()

Department of Mathematics and Computer Sciences, Marist College, Poughkeepsie, NY, USA. This equation arises in many fields of mathematics and physics. It has applications in random processes, optimal ...
IEEE

Formation Control of Multiagent System Based on Higher Order Partial Differential Equations

Abstract: We propose a method of controlling the formation in a multiagent system using partial differential equations (PDEs). In this method, the behavior of the entire multiagent system is modeled ...
Scientific Research Publishing

Gel’fand, I.M. and Lidskii, V.B. (1955) On the Structure of the Regions of Stability of Linear Canonical Systems of Differential Equations with Periodic Coefficients. English ...

ABSTRACT: In this work we study two types of Discrete Hill’s equation. The first comes from the discretization process of a Continuous-time Hill’s equation, we called Discretized Hill’s equation. The ...
Europe PMC

Formation and modulation of multi-pulse femtosecond laser-induced periodic surface structures by electromagnetic and partial differential equation simulations.

In order to demonstrate the formation of laser-induced periodic surface structures (LIPSS), simulations were performed to investigate the effect of multiple femtosecond laser pulses with different ...