On the existence and uniqueness of a positive solution to a boundary value problem for one nonlinear functional-differential equation of the third order with an integral boundary condition
Abstract:
For a nonlinear third-order functional differential equation, we consider a boundary value problem with an integral boundary condition at one of the ends of the segment under study. Using special topological tools, we establish sufficient conditions for the existence and uniqueness of a positive solution to the problem under consideration and construct a corresponding example.
Keywords:positive solution, boundary value problem, cone
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