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Functional Equations in Asymptotical Problems of Queueing Theory

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Abstract

The investigation of communication systems with a large number of devices sometimes leads to initial-boundary problems for functional equations. In this work we consider several classes of such problems for differential-difference and integral-differential equations and for partial differential equations. We are interested in the global existence of solutions in the quarter-plane x > 0, t > 0; in the existence of stationary solutions, in their stability, and in their behavior as x → ∞.

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Authors
  1. N. D. Vvedenskaya
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  2. Yu. M. Suhov
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Vvedenskaya, N.D., Suhov, Y.M. Functional Equations in Asymptotical Problems of Queueing Theory. Journal of Mathematical Sciences 120, 1255–1276 (2004). https://doi.org/10.1023/B:JOTH.0000016048.57654.a3

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  • DOI: https://doi.org/10.1023/B:JOTH.0000016048.57654.a3

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