Existence and iterative solutions of a new kind of Sturm-Liouville-type boundary value problem with one-dimensional p-Laplacian
نویسندگان
چکیده
Boundary value problems (BVPs) have been studied for a long period. At the beginning, most researchers focused on two-point BVPs with four classical boundary conditions (BCs) of Dirichlet type u() = u() = , Neumann type u′() = u′() = , Robin type u() = u′() = or u′() = u() = , and Sturm-Liouville type αu() – βu′() = , γu() + δu′() = . Later, in order to meet the requirements of various applications, some researchers began to pay their attentions on multipoint BVPs, such as three-point BC u() = αu(η), u() = or u′() = , u() = αu(η), and so on. Although the points involved are larger than that involved in two-point BC, the difficulties remain similar. However, when we study this kind of four-point BVPs, difficulties have a qualitative leap.
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