主题词：Advanced Mathematical Modeling in Engineering; Stability and Controllability of Differential Equations; Numerical methods in inverse problems; Nonlinear Partial Differential Equations; Nonlinear Differential Equations Analysis; Advanced Mathematical Physics Problems; Differential Equations and Numerical Methods; Differential Equations and Boundary Problems; Navier-Stokes equation solutions; Advanced Numerical Methods in Computational Mathematics; Nonlinear Waves and Solitons; Mathematical and Theoretical Epidemiology and Ecology Models; Fractional Differential Equations Solutions; Spectral Theory in Mathematical Physics; Optimization and Variational Analysis; Numerical methods in engineering; Contact Mechanics and Variational Inequalities; Numerical methods for differential equations; Mathematical Analysis and Transform Methods; Composite Material Mechanics; Diverse Scientific and Economic Studies; Human auditory perception and evaluation; Educational Robotics and Engineering; Nonlinear Photonic Systems; Advanced Differential Equations and Dynamical Systems