This book explores the crucial role of inverse problems across various fields of applied science and technology. By examining physical phenomena governed by mathematical physics, it addresses the challenge of determining unknown parameters and developing non-destructive methods for systems of solid and structural mechanics. It delves into the inherent mathematical complexities of inverse problems and presents innovative strategies for overcoming these issues. Aimed at doctoral students and researchers in civil and mechanical engineering, mathematical physics, and applied mathematics, the book provides a solid theoretical foundation and equips readers with the necessary mathematical and computational tools to tackle diverse inverse problems.

Eigenvalue Assignment by the Receptance Method: Structural Modification and Active Control.- Model Updating: Sensitivity Method and Bayesian Inference.- Diffusion Models in Mechanics.- Generalized Functions and Their Applications to Direct and Inverse Vibration Problems.- Inverse Problems in Imaging Using Resonant Contrast Agents.- Almost Periodic Distributions and the Spherical Mean Method to Solve Inverse Source Problems.- Inverse Problems for Nanostructures.