The Volterra delay integral equations have numerous applications in various branches of science, including biology, ecology, physics and modeling of engineering and natural sciences. In many cases, it is difficult to obtain analytical solutions of these equations. So, numerical methods as an efficient approximation method for solving Volterra delay integral equations are of interest to many res...

This is a theoretical study of the SIR model — popular mathematical propagation infectious diseases. We construct solution Cauchy problem for system two ordinary differential equations describing in integral form concentration dynamics infected and recovered individuals an immune population. A qualitative analysis carried out stationary states using Lyapunov function. An expression obtained coo...

Resistance spot welding (RSW) includes many variables that can influence the weld properties. The purpose of this study is to develop an analytical model for prediction of thermal history and weld microstructure in RSW and to find the most important process parameters that influence the weld microstructure. A one dimensional model is proposed for prediction about thermal history during cooling ...

Foreword High flows of water is a common problem in most rivers. Earlier generations were more aware of the risks to build close to the rivers and the highest water level was locally known. Nowadays, building permits are more and more frequent below that level. Furthermore, forestry methods with clear cuts and drainage of wetlands result in a more rapid effect of heavy rain fall on the water fl...