This paper presents all types of catalysis, considers the main stages of conversion with a surface catalyst, presents such methods of catalyst synthesis as impregnation by moisture capacity, sol-gel method, hydrothermal synthesis of nanozeolites.

This paper presents an original approach to describing and predicting cyber-attacks using fuzzy sets and fuzzy differential equations (FDEs). It includes a historical overview of the method’s development, formulas, comments on the equations, numerical examples, graphical illustrations, and recommendations for optimizing protective measures.

The paper gives an application of generalized elliptic Jacobi functions snω(z), cnω(z), dnω(z) to finding solutions of one class of nonlinear elliptic systems of equations of the fourth order in the plane with constant deviations of arguments, with Cauchy-Riemann operators…

One of the main tasks in the theory of differential equations and systems is to obtain exact solutions, which lead to serious calculations. However, we do not always succeed in finding actual solutions. Our paper considers a system of nonlinear differential equations that describes electromagnetoelasticity problems for a segmentoelectric and ferromagnetic medium. Recently, different methods have been developed for solving nonlinear differential equations, one of which is the method of decomposition by elliptic Jacobi functions, which we used to obtain the solution in our paper.

This work discusses a system consisting of two differential equations: one is a linear hyperbolic equation of the second order with two internal singular lines, and the other is a first-order differential equation, also with two internal singular lines.