主题词：Mathematical Analysis and Transform Methods; Advanced Mathematical Modeling in Engineering; Differential Equations and Boundary Problems; Algebraic and Geometric Analysis; Advanced Topics in Algebra; Spectral Theory in Mathematical Physics; Holomorphic and Operator Theory; advanced mathematical theories; Nonlinear Partial Differential Equations; Advanced Algebra and Geometry; Advanced Harmonic Analysis Research; Nonlinear Differential Equations Analysis; Geometric Analysis and Curvature Flows; Numerical methods in inverse problems; Advanced Mathematical Physics Problems; Advanced Differential Geometry Research; Mathematical functions and polynomials; Stability and Controllability of Differential Equations; Differential Equations and Numerical Methods; Rings, Modules, and Algebras; Functional Equations Stability Results; Nonlinear Waves and Solitons; Approximation Theory and Sequence Spaces; Mathematical Dynamics and Fractals; Advanced Operator Algebra Research