Existence and Iteration of Positive Solutions to Third Order Three-point Bvp with Increasing Homeomorphism and Positive Homomorphism
نویسنده
چکیده
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 example is given to show our results.
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