On integral equation in space-time

• Autorzy: Hącia L.
• Języki publikacji: EN

Abstrakty

EN

Integral equations in space-time play very important role in wave and heat conduction theory. Particular cases of these equations of so-called mixed integral equations or Volterra-Fredholm integral equations arise in the mathematical modelling of the spatio-temporal development of an epidemic. Some initial-boundary problems for a number of differential partial equations in physics, mechanics and technology are reducible to the considered integral equations. In this paper some methods for solving these linear integral equations are presented in weighted spaces. It is shown that better results can be obtained in weighted spaces.

Słowa kluczowe

EN

Volterra-Fredholm integral equations; weighted spaces; compact manifold; integral equations in space-time

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 1999
• Tom: Vol. 32, nr 4
• Strony: 795--805
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Hącia L.

• Institute of Mathematics Poznań University of Technology Piotrowo 3A 60-965 Poznań, Poland,