The fourth-order quasilinear di erential equation is considered under the assumptions that ΒΏ 0, ΓΏ ΒΏ 0 and q(t) is a positive continuous function on an interval [a; β), a ΒΏ 0, and the necessary and su cient integral conditions for the existence of eventually positive solutions of (1.1) are establish
Existence of eventually positive solutions of fourth order quasilinear differential equations
β Scribed by Fentao Wu
- Book ID
- 113721756
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 199 KB
- Volume
- 389
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
## A new necessary and sufficient condition for the existence of eventually positive solutions is obtained for a class of odd-order neutral differential equations.
The odd order neutral differential equations are considered. New necessary and sufficient conditions, and comparison theorems of existence of eventually positive solutions are obtained. Nonexistence criteria of eventually positive solutions are also established. (~) 2000 Elsevier Science Ltd. All ri
## Abstract The existence of nonβextreme positive solutions of __n__ thβorder quasilinear ordinary differential equations is discussed. In particular, necessary and sufficient integral conditions for the existence of nonβextreme positive solutions are established for a certain class of equations. B