The Monotone Iterative Technique for Three-Point Second-Order Integrodifferential Boundary Value Problems with p-Laplacian
نویسندگان
چکیده
Investigation of positive solutions of multipoint second-order ordinary boundary value problems, initiated by Il’in and Moiseev [1, 2], has been extensively addressed by many authors, for instance, see [3–6]. Multipoint problems refer to a different family of boundary conditions in the study of disconjugacy theory [7]. Recently, Eloe and Ahmad [8] addressed a nonlinear nth-order BVP with nonlocal conditions. Also, there has been a considerable attention on p-Laplacian BVPs [9–18] as p-Laplacian appears in the study of flow through porous media (p = 3/2), nonlinear elasticity (p ≥ 2), glaciology (1≤ p ≤ 4/3), and so forth. In this paper, we develop a monotone iterative technique to prove the existence of extremal positive pseudosymmetric solutions for the following three-point second-order p-Laplacian integrodifferential boundary value problem (BVP):
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