Multiple Symmetric Positive Solutions to Four-point Boundary-value Problems of Differential Systems with P-laplacian
نویسندگان
چکیده
In this article, we study the four-point boundary-value problem with the one-dimensional p-Laplacian (φpi (u ′ i)) ′ + qi(t)fi(t, u1, u2) = 0, t ∈ (0, 1), i = 1, 2; ui(0)− gi(ui(ξ)) = 0, ui(1) + gi(ui(η)) = 0, i = 1, 2. We obtain sufficient conditions such that by means of a fixed point theorem on a cone, there exist multiple symmetric positive solutions to the above boundary-value problem. As an application, we give an example that we illustrates our results.
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