The construction of characteristic series of multiparameter continuous systems
Abstract
The paper proposes a method for constructing a fundamental system of solutions of an ordinary differential equation as a parameter series. The method allows the use of characteristic series for examining nonlinear (in terms of spectral parameter) and multiparameter eigenvalue problems related to the dynamics of continuous mechanical systems under load.
- Publication:
-
Akademiia Nauk Ukrains koi RSR Dopovidi Seriia Fiziko Matematichni ta Tekhnichni Nauki
- Pub Date:
- September 1976
- Bibcode:
- 1976DoUkr......819T
- Keywords:
-
- Cauchy Problem;
- Continuum Mechanics;
- Dynamic Loads;
- Eigenvalues;
- Approximation;
- Differential Equations;
- Functional Analysis;
- Induction (Mathematics);
- Integral Equations;
- Series Expansion;
- Physics (General)