Criteria for the regularity of continuous and locally integrable solutions of a class of linear functional equations
β Scribed by Halina Swiatak
- Publisher
- Springer
- Year
- 1970
- Tongue
- English
- Weight
- 83 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0001-9054
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π SIMILAR VOLUMES
A functional analysis method is used to prove the existence and the uniqueness of solutions of a class of linear and nonlinear functional equations in the Hilbert Ε½ . Ε½ . space H β¬ and the Banach space H β¬ . In the case of the nonlinear functional 2 1 equation, a bound of the solution is also given.
This paper is devoted to the study of properties of a class of solutions (u; u) β W 1;q 2;p ( ; ; ) Γ L q ( ) of functional-di erential system of fourth order. By using suitable test functions, it is possible to organize Moser's method to prove boundedness and H older continuity of solutions u(x) of