Generalized Euler equations in quaternions
β Scribed by V. N. Koshlyakov
- Book ID
- 112474711
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 153 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0041-5995
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π SIMILAR VOLUMES
This paper introduces three new operators and presents some of their properties. It defines a new class of variational problems (called Generalized Variational Problems, or GVPs) in terms of these operators and derives Euler-Lagrange equations for this class of problems. It is demonstrated that the
## Abstract Nonlinear hyperbolic functional differential equations with initial boundary conditions are considered. Theorems on the convergence of difference schemes and error estimates of approximate solutions are presented. The proof of the stability of the difference functional problem is based
From both the classical and the quantum-mechanical point of view, the description of rotations in NMR is essential for explaining the response of spin systems to radio frequency pulses. Of the many methods used for this description, quaternionic formalisms offer unique advantages. Quaternions are de