Existence and Iteration of Monotone Positive Solution of BVP for an Elastic Beam Equation
نویسندگان
چکیده
This paper is concerned with the existence of monotone positive solution of boundary value problem for an elastic beam equation. By applying iterative techniques, we not only obtain the existence of monotone positive solution but also establish iterative scheme for approximating the solution. It is worth mentioning that the iterative scheme starts off with zero function, which is very useful and feasible for computational purpose. An example is also included to illustrate the main results.
منابع مشابه
Existence and uniqueness of monotone positive solutions for an elastic beam equation with nonlinear boundary conditions
This paper is concerned with the existence of monotone positive solutions for an elastic beam equation with nonlinear boundary conditions. By applying monotone iteration method, we not only obtain the existence of monotone positive solutions but also establish iterative schemes for approximating the solutions. It is worth mentioning that these iterative schemes start offwith zero function or qu...
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