In this paper, we study the existence of positive solutions of a singular three-point boundary value problem for the following second-order differential equation By constructing an available integral operator and combining fixed point index theory with properties of Green's function under some cond
Positive solutions for three-point boundary value problems for second-order impulsive differential equations on infinite intervals
โ Scribed by Jianli Li; Jianhua Shen
- Book ID
- 108076794
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 228 KB
- Volume
- 235
- Category
- Article
- ISSN
- 0377-0427
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๐ SIMILAR VOLUMES
We establish the existence of positive solutions for the three-point boundary value problem u" + a(t)f(u) = o, u(0) = 0, u(1) -au(~) = b, where b, c~ > 0, r/ E (0, 1), a~? < 1, are given. Under suitable conditions, we show that there exists a positive number b\* such that the problem has at least on
This paper is devoted to study the existence of multiple positive solutions for the second-order multi-point boundary value problem with impulse effects. The arguments are based upon fixed-point theorems in a cone. An example is worked out to demonstrate the main results.