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
Necessary and sufficient conditions for first and second order active-r filters
β Scribed by Eduard Schwartz
- Publisher
- John Wiley and Sons
- Year
- 1983
- Tongue
- English
- Weight
- 448 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0098-9886
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π SIMILAR VOLUMES
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
For a special class of the external force g t and nonnegative potential a t , we give necessary and sufficient conditions for the oscillation of all solutions of a nonlinear second order forced differential equation with delayed argument of Ε½ .
## Abstract Necessary and sufficient conditions for a fourth order functional differential equation of the form (1) [r(t)yβ³(t)]β³+f(t,y(h~1~(t)), y(h~2~(t)), β¦, y(h~n~(t)))=0 to be oscillatory are given when f is strongly superlinear or strongly sublinear.