On the two-point boundary value problems for linear impulsive systems with singularities (Q2882535)

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scientific article; zbMATH DE number 6031052
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On the two-point boundary value problems for linear impulsive systems with singularities
scientific article; zbMATH DE number 6031052

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    On the two-point boundary value problems for linear impulsive systems with singularities (English)
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    7 May 2012
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    linear impulsive systems
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    singularities
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    systems with small parameters
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    two-point boundary value problems
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    Fredholm property
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    unique solvability
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    The author deals with a class of two-point boundary value problems for linear impulsive systems with singularities. The singularity is understood in the sense that the matrix-and vector-functions of a continuous (as well as of a discrete) argument which correspond to this system may be nonsummable. The author obtains tests for the unique solvability of the impulsive problems. Also analogous problems for similar impulsive systems with small parameters are considered.
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