Triple positive solutions to third order three-point BVP with increasing homeomorphism and positive homomorphism
نویسندگان
چکیده
منابع مشابه
Existence and Iteration of Positive Solutions to Third Order Three-point Bvp with Increasing Homeomorphism and Positive Homomorphism
In this paper, we obtain the existence of positive solutions and establish two corresponding iterative schemes for the following third order three-point boundary value problem { (φ(u′′))′(t) + q(t)f(u(t)) = 0, 0 ≤ t ≤ 1, u(0) = βu(ξ), u′(1) = 0, φ(u′′(0)) = δφ(u′′(ξ)), where φ : R → R is an increasing homeomorphism and positive homomorphism. The main tool is the monotone iterative technique. An...
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i=1 aiφ(u′′(ξi)), u(0) = 0, u(1) = m−2 ∑ i=1 biu(ξi), where φ : R −→ R is an increasing homeomorphism and homomorphism and φ(0) = 0. The nonlinear term f may change sign. As an application, an example to demonstrate our results is given. © 2008 Elsevier B.V. All rights reserved.
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2009
ISSN: 0377-0427
DOI: 10.1016/j.cam.2009.02.001