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Second order BVPs with state dependent impulses via lower and upper functions

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Rachůnková I., Tomeček J.

Open Mathematics

2014

tom 12

nr 1

128-140

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.

Ograniczanie wyników

1 Open Mathematics

1 Rachůnková I.

1 Tomeček J.

1 2014

Wyniki wyszukiwania

Second order BVPs with state dependent impulses via lower and upper functions