๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Existence of solutions for higher order multi-point boundary value problem at resonance

โœ Scribed by Xiao-jie Lin; Zeng-ji Du; Wei-gao Ge

Publisher
Springer
Year
2006
Tongue
English
Weight
139 KB
Volume
27
Category
Article
ISSN
0253-4827

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Nontrivial solutions for higher order mu
Nontrivial solutions for higher order multi-point boundary value problems
โœ Xinguang Zhang; Lishan Liu ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 276 KB

In the case where a nonlinearity may change sign and contains higher derivatives, we consider the existence of nontrivial solutions for a class of higher order multi-point boundary value problems. Some sufficient conditions for the existence of nontrivial solutions are established under certain suit

Higher order multi-point boundary value
Higher order multi-point boundary value problems
โœ John R. Graef; Lingju Kong; Qingkai Kong ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 154 KB

Solutions, boundary value problems, lower and upper solutions, Nagumo condition, fixed point theorem MSC (2010) 34B15, 34B18 We consider the boundary value problem u, u , . . . , u (n -1) = 0, t โˆˆ (0, 1), where n โ‰ฅ 2 and m โ‰ฅ 1 are integers, tj โˆˆ [0, 1] for j = 1, . . . , m, and f and gi , i = 0, .

On the existence of m-point boundary val
On the existence of m-point boundary value problem at resonance for higher order differential equation
โœ Shiping Lu; Weigao Ge ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 225 KB

By means of Mawhin's continuation theorem, we study m-point boundary value problem at resonance in the following form: x (k) (t) = f (t, x(t), x (t), . . . , x (k-1) (t)) + e(t), t โˆˆ (0, 1), A new result on the existence of solutions is obtained. The interesting is that we do not need all the a i