We study almost automorphic solutions of recurrence relations with values in a Banach space V for quasilinear almost automorphic difference systems. Its linear part is a constant bounded linear operator Λ defined on V satisfying an exponential dichotomy. We study the existence of almost automorphic solutions of the non-homogeneous linear difference equation and to quasilinear difference equatio...

This paper is devoted to apply the Lie methods a class of reaction diffusion advection systems two interacting species u and v with arbitrary constitutive functions f g. The term appearing in equation for logistic function Lotka-Volterra type. Once obtained algebra any form g classification carried out. Interesting reduced are derived admitting wide classes exact solutions.

In this paper, we study the following class of fractional Choquard-type equations $$\begin{aligned} (-\Delta )^{1/2}u + u=\Big ( I_\mu *F(u)\Big )f(u), \quad x\in \mathbb {R}, \end{aligned}$$ where $$(-\Delta )^{1/2}$$ denotes 1/2-Laplacian operator, $$I_{\mu }$$ is Riesz potential with $$0<\mu <1$$ , and F primitive function f. We use variational methods minimax estimates to existence solution...

Exact analytical solutions of the master equation are limited to special cases and exact numerical methods are inefficient. Even the generic one-dimensional, one-step master equation has evaded exact solution, aside from the steady-state case. This type of master equation describes the dynamics of a continuous-time Markov process whose range consists of positive integers and whose transitions a...

background and objectives: macrolide, lincosamide and streptogramin type b (mlsb) antibiotics are important in the treatment of staphylococcus aureus infections and existence of isolates with ability to resist against mlsb antibiotics is worrisome. materials and methods: in this cross sectional study, 101 s. aureus isolates were collected from patients of five selected hospitals in tehran over ...