Existence of solutions for a multivalued boundary value problem with non-convex and unbounded right-hand side

doi:https://doi.org/10.4064/ap-71-3-253-271

Open AccessArticle10.4064/ap-71-3-253-271

Existence of solutions for a multivalued boundary value problem with non-convex and unbounded right-hand side

Diego Averna,Gabriele Bonanno-1999-01-01-Annales Polonici Mathematici

TL;DRAbstract

Let $F:[a,b] × ℝ^n × ℝ^n → 2^{ℝ^n}$ be a multifunction with possibly non-convex and unbounded values. The main result of this paper (Theorem 1) asserts that, given the multivalued boundary value problem ($P_F$) {u'' ∈ F(t,u,u'), u(a)

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Let $F:[a,b] × ℝ^n × ℝ^n → 2^{ℝ^n}$ be a multifunction with possibly non-convex and unbounded values. The main result of this paper (Theorem 1) asserts that, given the multivalued boundary value problem ($P_F$) {u'' ∈ F(t,u,u'), u(a)

Keywords

MathematicsRegular polygonBoundary (topology)Boundary valuesBoundary value problemPure mathematicsValue (mathematics)Mathematical analysis

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