Stability of a singularly perturbed problem (Q444014)

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scientific article; zbMATH DE number 6065282
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Stability of a singularly perturbed problem
scientific article; zbMATH DE number 6065282

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    Stability of a singularly perturbed problem (English)
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    13 August 2012
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    In this paper the author studies stability of the system of telegraph equations under perturbation of one boundary condition and in the presence of small regular perturbations. The investigation employs some ideas of A. N. Tikhonov which he introduced in the analysis of singularly perturbed systems. Also, conditions are established for convergence of solutions of the system under consideration to solutions of nominal system without perturbation.
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    system of telegraph equations
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    bifurcations of solutions
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