In this paper, the resonance two-point boundary value problems for impulsive 2n-order differential equation with following two-point boundary value conditions 2i+1) (1) = 0, i = 0, . . . , n -1, and for n-order differential equation with following periodic boundary value conditions x (i) (0) = x
Solutions of Lidstone BVPs for higher-order impulsive differential equations
β Scribed by Yuji Liu; Weigao Ge
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 224 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We shall provide conditions on non-positive function f(t, uj .... ,u,-1) so that the boundary value problem (BVP) for t E (0, 1) and n ~>2, ## ~u~-2~(0) -flu~"-~(O) = O, ?u("-2)(1) + 6u ~n l)(1) = 0, has at least one positive solution. Then, we shall apply this result to establish several existe
In this paper, we prove existence results for periodic solutions concerning the higher-order delay differential equations. Our method is based upon the coincidence degree theory of Mawhin. The results obtained are new. Examples are given to illustrate the main results.