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Boundary value problem for a mixed type equation with an advanced-retarded argument

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Abstract

We consider the Tricomi problem for the Lavrent’ev-Bitsadze equation with a mixed deviation of the argument. The uniqueness theorem for the problem is proved under constraints on the deviation of the argument. The existence of a solution is related to the solvability of a difference equation. We obtain integral representations of solutions in closed form.

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References

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Original Russian Text © A.N. Zarubin, 2012, published in Differentsial’nye Uravneniya, 2012, Vol. 48, No. 10, pp. 1404–1411.

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Zarubin, A.N. Boundary value problem for a mixed type equation with an advanced-retarded argument. Diff Equat 48, 1384–1391 (2012). https://doi.org/10.1134/S0012266112100084

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  • DOI: https://doi.org/10.1134/S0012266112100084

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