Positive solutions of some three point boundary value problems via fixed point index theory
β Scribed by J.R.L. Webb
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 413 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
theorem of generalized cone expansion and compression a b s t r a c t Using a fixed point theorem of generalized cone expansion and compression we present in this paper criteria which guarantee the existence of at least two positive solutions for semi-positone three-point boundary value problems wit
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 investigates the following singular systems of nonlinear second-order three-point boundary value problems where Ξ· β (0, 1), 0 < Ξ±Ξ· < 1, f and g may be singular at t = 0 and/or t = 1. Under some weaker conditions the existence of positive solutions is obtained by applying the fixed point