Existence of Single and Multiple Solutions for First Order Periodic Boundary Value Problems
โ Scribed by Xiao-ning Lin; Hong Wang; Da-qing Jiang
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2007
- Tongue
- English
- Weight
- 168 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0168-9673
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
By applying the well known Leggett-Williams multiple fixed point theorem and fixed point theorem of cone expansion and compression, this paper investigates the existence of multiple positive solutions of periodic boundary value problems for first order differential equations. Meanwhile, two examples
we give conditions on f involving pairs of discrete lower and discrete upper solutions which lead to the existence of at least three solutions of the discrete two-point boundary value problem y/k+l -2yk + y/k-l + f(k, yk,uk) = 0, for k = 1,. ,n -I, yo = 0 = y,, where f is continuous and 01, = gk -yk