In the fields of physics, mathematics, and engineering, partial differential equations (PDEs) are essential for modeling various phenomena, from heat diffusion to particle motion and wave propagation.

Abstract This paper is concerned with the nonlinear stability of traveling waves of a delayed monostable epidemic model with quasi-monotone condition. We prove that the traveling wave front is ...

This is a preview. Log in through your library . Abstract We demonstrate the existence of periodic traveling wave train and traveling front solutions for a diffusive predator-prey system. The analysis ...

De Broglie waves, the Schroedinger equation, wave functions, wave packets, Heisenberguncertainty principle, expectation values, particle in a box, the simple harmonic oscillator, free particles, step ...

Delay-differential equations involve shifts and derivatives with respect to the same variable. Some nonlinear equations in this class admit families of elliptic function solutions. I will give some ...

This course is available on the BSc in Business Mathematics and Statistics, BSc in Mathematics and Economics, BSc in Mathematics with Economics and BSc in Mathematics, Statistics and Business. This ...