Employing the fixed point method and differential inequality techniques, easily verifiable delay-independent criteria are established to ensure the existence and global exponential stability of pseudo-almost periodic solutions for the addressed equations.
To reduce computational cost, a modified additive operator splitting (AOS) algorithm is developed to address diffusion equations defined on irregular domains and multi-initial scheme is used to speed up the convergence rate.
As in every functional study dedicated to BMI influences, result expression is a critical issue to address, as equations are including the BMI.
The goal of the present paper is to address the Taylor equation from a probabilistic framework; future work will explore the calculation of the free path length.
Since we address fractional diffusion equations, we restrict ourselves to the two cases (0<alpha<1) and (1<alpha<2).
There are significant theoretical researches on delay differential equation addressing many aspects of the dynamics, for example, stability of equilibria, existence of periodic solutions, complicated behavior, and chaos.
These equations address the main failure mechanisms that can be typically experienced by the structure due to axial compressive loads, namely, the global buckling of the shell, the local buckling of helical ribs, and the material failure of helical ribs.
On the other hand, the second part of the equation addresses the scenario where the duration of a user's stay in the Wi-Fi area is larger than the application deadline time.
A time-dependent sequence of r-refinement adaptive grids obtained from solving a single Monge Ampère (MA) equation addresses the high-resolution requirements near the x-point for numerical simulation of the magnetic reconnection problem.
A quasi-stationary state for wave-particle interactions is obtained in the quasi-linear theory by using the so-called plateau equation, addressing that the particle velocity distribution function exhibits pitch-angle plateau formation such that the energy is no longer transferred between electromagnetic fields and particles (e.g., ref. Marsch and Bourouaine (2011)).
