Positive solutions and nonlinear eigenvalue problems for functional differential equations
β Scribed by J. Henderson; W. Yin
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 284 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
β¦ Synopsis
Values of A are determined for which there exist positive solutions of the nth-order functional differential equation, (-1)n-ku(n)(t) = Aa(t)f(ut), 0 < t < 1, satisfying the initial condition, u(s) = Β’(s), -r < s < 0, and satisfying the boundary conditions, u(1)(0) = 0, 0 < i < k -1, and uU)(1) = 0, 0 < j < n -k -1, where a and f are nonnegative valued. (~) 1998 Elsevier Science Ltd. All rights reserved.
π SIMILAR VOLUMES
## Communicated by R. Palais Abstract--Classification schemes for positive solutions of a class of higher-order nonlinear functional differential equations are given in terms of their asymptotic behavior, and necessary as well as sufficient conditions for the existence of these solutions are also
Under suitable conditions on f(t, yt (0)), the boundary value problem of second-order functional differential equation (FDE) with the form: ( ~y(t) + 5y'(t) = ~(t), for t E [1, 1 + a], (BVP) has at least one positive solution. Moreover, we also apply this main result to establish several existence
We prove the existence of positive solutions to the scalar equation y (x) + F (x, y, y ) = 0. Applications to semilinear elliptic equations in exterior domains are considered.
In this paper, the existence of at least three positive solutions for the boundary value problem (BVP) of second-order functional differential equation with the form Y"(t) + f (6 Yt