Nonmonotone impulse effects in second-order periodic boundary value problems.
Rachůnková, Irena, Tvrdý, Milan (2004)
Abstract and Applied Analysis
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Displaying similar documents to “Construction of non-constant lower and upper functions for impulsive periodic problems.”
Nonmonotone impulse effects in second-order periodic boundary value problems.
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Yuansheng Tian, Anping Chen, Weigao Ge (2011)
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In this paper, using a fixed point theorem on a convex cone, we consider the existence of positive solutions to the multipoint one-dimensional -Laplacian boundary value problem with impulsive effects, and obtain multiplicity results for positive solutions.
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Kaufmann, Eric R. (2009)
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Bainov, D.D., Stamova, I.M. (1997)
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Second order BVPs with state dependent impulses via lower and upper functions
Irena Rachůnková, Jan Tomeček (2014)
Open Mathematics
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The paper deals with the following second order Dirichlet boundary value problem with p ∈ ℕ state-dependent impulses: z″(t) = f (t,z(t)) for a.e. t ∈ [0, T], z(0) = z(T) = 0, z′(τ i+) − z′(τ i−) = I i(τ i, z(τ i)), τ i = γ i(z(τ i)), i = 1,..., p. Solvability of this problem is proved under the assumption that there exists a well-ordered couple of lower and upper functions to the corresponding Dirichlet problem without impulses.