主题词：Spectral Theory in Mathematical Physics; Advanced Mathematical Modeling in Engineering; Quantum chaos and dynamical systems; advanced mathematical theories; Differential Equations and Boundary Problems; Differential Equations and Numerical Methods; Advanced Operator Algebra Research; Nonlinear Waves and Solitons; Numerical methods in inverse problems; Advanced Mathematical Physics Problems; Advanced Mathematical Identities; Advanced Topics in Algebra; Advanced Algebra and Geometry; Mathematical functions and polynomials; Holomorphic and Operator Theory; Algebraic and Geometric Analysis; Stability and Controllability of Differential Equations; Algebraic structures and combinatorial models; Homotopy and Cohomology in Algebraic Topology; Advanced Combinatorial Mathematics; Nonlinear Partial Differential Equations; Mathematical Analysis and Transform Methods; Quantum Mechanics and Applications; Advanced Banach Space Theory; Geometric Analysis and Curvature Flows