Necessary and sufficient conditions for validity of the weak extremum principle for second-order elliptic systems
β Scribed by L. I. Kamynin; B. N. Khimchenko
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1996
- Tongue
- English
- Weight
- 1013 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0037-4466
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π SIMILAR VOLUMES
Consider the second order nonlinear neutral differential equation with delays: Ε½ . w . E d rdt y t y py t y q q t f y t y s 0, for t g 0, Ο± , where Ε½ . Ε½ . Ε½ . Ε½ . q t , f x are continuous functions, q t G 0, yf y ) 0 if y / 0, and 0p -1, Ε½ . ) 0, ) 0. When f y satisfies either the superlinear or
The HAHN-BANACH-theorem is known to have fundamental importance for several fields of mathematics. This theorem is not used concerning functionals, but operators which map into a real partially ordered vector space. In this paper is shown that the validity of this theorem is equivalent t o the vali