Asymptotic Behavior of Solutions of Neutral Differential Equations with Positive and Negative Coefficients
β Scribed by J.H. Shen; J.S. Yu
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 248 KB
- Volume
- 195
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
t ## Ε½ . , β¦ g R , G β¦ , are obtained where R t q H Q u du y 1 is allowed to x Ο± w Ε½ . Ε½ oscillate and the condition H s P s y Q s y q β¦ H P u y Q u y q t s 0 .x β¦ du ds s Ο± is not necessary. Some examples are given, which show that the results here are almost sharp.
## 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
are obtained by investigating respectively the asymptotic behavior of the nonoscillatory solutions and oscillatory solutions of the equation.
Suppose J=[:, ) for some : # R or J=R and let X be a Banach space. We study asymptotic behavior of solutions on J of neutral system of equations with values in X. This reduces to questions concerning the behavior of solutions of convolution equations (\*) H V 0=b, where H=(H j, k ) is an r\_r matri