Heat Kernel Method for Quintic and Sextic Equations in Distributions and Hyperfunctions

• Mina Miahi ^[1] ; Farshid Mirzaee ^[1] ; Hamid Khodaei ^[1]
  1. [1] Malayer University

     Malayer University

     Irán

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 2, 2023
• Idioma: inglés
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• Resumen

  • In this paper, we reformulate the quintic and sextic equations in the spaces of generalized functions. Using the pullbacks and the heat kernels, we investigate the approximate quintic and sextic mappings in the spaces of Schwartz tempered distributions and Fourier hyperfunctions.