Invariance theorems for a class of nonlinear systems of equations over an arbitrary finite field
β Scribed by A. A. Levitskaya
- Publisher
- Springer US
- Year
- 1996
- Tongue
- English
- Weight
- 347 KB
- Volume
- 32
- Category
- Article
- ISSN
- 1573-8337
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π SIMILAR VOLUMES
## An existence theorem for a class of infinite systems of integral equations is proved with the help of the Schauder Axed-point theorem. The obtained result is applied in order to show the solvability of a semilinear upper diagonal infinite system of integral equations.
In this paper, the author presents a new method for iteratively finding a real solution of an arbitrary system of nonlinear algebraic equations, where the system can be overdetermined or underdetermined and its Jacobian matrix can be of any (positive) rank. When the number of equations is equal to t