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Coerciveness of functional-differential equations

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Abstract

We consider functional-differential equations with the Dirichlet conditions and with contraction and dilatation of the arguments. Necessary and sufficient conditions are obtained under which a Gårding type inequality holds. These results allow us to verify coerciveness by using a special “symbol” of the equation considered.

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Authors and Affiliations

  1. Moscow Aviation Institute, USSR

    L. E. Rossovskii

Authors
  1. L. E. Rossovskii
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Additional information

Translated fromMatematicheskie Zametki, Vol. 59, No. 1, pp. 103–113, January, 1996.

The author expresses his gratitude to A. L. Skubachevskii for his attention to this paper and for his valuable remarks.

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Rossovskii, L.E. Coerciveness of functional-differential equations. Math Notes 59, 75–82 (1996). https://doi.org/10.1007/BF02312468

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  • DOI: https://doi.org/10.1007/BF02312468

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