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On a coupled system of abstract differential equations similar to the thermoelasticity equations

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Abstract

The study of a model system of differential equations arising from the dynamical problems of thermo elasticity is continued. The case of shifts of the general type is investigated. We employ the “commutant method” based on the properties of the operator Δ (A,B)=AB-BA.

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References

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Additional information

Translated from Ukrainskii Matematicheskii Zhumal, Vol. 45, No. 8, pp. 1162–1165, August, 1993.

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Gershtein, L.M. On a coupled system of abstract differential equations similar to the thermoelasticity equations. Ukr Math J 45, 1297–1301 (1993). https://doi.org/10.1007/BF01070978

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Keywords

  • Differential Equation
  • General Type
  • Couple System
  • Dynamical Problem
  • Abstract Differential Equation