A functional-differential equation in a class of analytic functions and its application

• Autores: Piotr Drygas
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 73, Nº. 3, 2007, págs. 222-232
• Idioma: inglés
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• Resumen

  • The thermal resistance problem for a medium with two circular inclusions is reduced to a system of functional-differential equations in a class of analytic functions. It is proved that the operator corresponding to the functional-differential equations is compact in the Hardy space. Moreover, these equations can be solved by the method of successive approximation under some natural conditions.