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.
Nonlinear boundary value problem for nonlinear second order differential equations with impulses.
Tomec̆ek, Jan (2005)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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On a class of second-order impulsive boundary value problem at resonance.
Cai, Guolan, Du, Zengji, Ge, Weigao (2006)
International Journal of Mathematics and Mathematical Sciences
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Solvability for second order nonlinear impulsive boundary value problems.
Yang, Dandan, Li, Gang (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Multiple positive solutions to multipoint one-dimensional -Laplacian boundary value problem with impulsive effects
Yuansheng Tian, Anping Chen, Weigao Ge (2011)
Czechoslovak Mathematical Journal
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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.
Impulsive periodic boundary value problems for dynamic equations on time scale.
Kaufmann, Eric R. (2009)
Advances in Difference Equations [electronic only]
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Second method of Lyapunov and existence of periodic solutions of linear impulsive differential-difference equations.
Bainov, D.D., Stamova, I.M. (1997)
Divulgaciones Matemáticas
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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.