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Solutions of two-point BVPs at resonance for higher order impulsive differential equations

✍ Scribed by Yuji Liu; Pinghua Yang; Weigao Ge

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
334 KB
Volume
60
Category
Article
ISSN
0362-546X

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✦ Synopsis

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 (i) (1), i = 0, . . . , n -1

πŸ“œ SIMILAR VOLUMES

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✍ Shiping Lu; Weigao Ge πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 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 ∈ (0, 1), A new result on the existence of solutions is obtained. The interesting is that we do not need all the a i

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This paper is devoted to the study of multiple and single positive solutions of two-point boundary value problems for nonlinear second-order singular and impulsive differential systems. By constructing a cone K 1 Γ— K 2 , which is the Cartesian product of two cones in the space C[0, 1], and computing