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Dependence of Green’s function of an e-dichotomous differential equation with matrix projector in the space\(\mathfrak{M}\) on parameters

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Abstract

In the space\(\mathfrak{M}\) of bounded number sequences, we investigate an e-dichotomous differential equation with matrix projector. We prove that Green's function of this equation exists and present conditions under which it is continuous and differentiable as a function of the parameters appearing in the original equation.

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References

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Authors
  1. Yu. V. Teplinskii
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Additional information

Kamenets-Podol'skii Pedagogical Institute, Kamenets-Podol'skii. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 6, pp. 748–753, June, 1994.

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Teplinskii, Y.V. Dependence of Green’s function of an e-dichotomous differential equation with matrix projector in the space\(\mathfrak{M}\) on parameters. Ukr Math J 46, 812–819 (1994). https://doi.org/10.1007/BF02658182

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  • DOI: https://doi.org/10.1007/BF02658182

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