J4 ›› 2014, Vol. 27 ›› Issue (2): 98-101.doi: 10.3976/j.issn.1002-4026.2014.02.018
• Article • Previous Articles Next Articles
WU Xiang-Yun
Received:
Online:
Published:
Abstract:
This paper addresses the existence of symmetric positive solutions for the boundary value problem of a kind of secondorder threepoint differential equation on a measure chain, xΔΔ(t)+f(t,x(t))=0,t∈(0,1)∩T,x(0)=x(1),xΔ(0)-xΔ(1)=ax(ξ),Where f:[0,1]×[0,∞)→[0,∞) is continuous and satisfies f(t,x)=f(1t,x),0,1,ξ∈T,0<ξ<1,α<1/(ξ-ξ2). Existence of three symmetric positive solutions is acquired with fixed point index property.
Key words: boundary value problem, symmetric solution, measure chains, fixed point index
CLC Number:
O175.08
WU Xiang-Yun. Existence of symmetric solutions for a kind of second-order threepoint boundary value problem on a measure chain[J].J4, 2014, 27(2): 98-101.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: https://www.sdkx.net/EN/10.3976/j.issn.1002-4026.2014.02.018
https://www.sdkx.net/EN/Y2014/V27/I2/98
Cited