1.overview
2.Oscillatory matrices and kernels as well as properties of eigenpairs
3.Qualitative properties of vibration and static deformation associated with discrete systems of strings and bars
4. Qualitative properties of vibration and static deformation associated with discrete systems of beams
5. Qualitative properties of vibration and static deformation of the sturm-Liouville system
6. Qualitative properties of vibration and static deformation associated with continuous systems of beams
7. Qualitative properties of vibration and static deformation of repetitive structures
8.Theory on the existence of solutions in structural mechanics