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ArticleOriginal scientific text

Title

Properties of some integrals related to partial differential equations of order higher than two

Authors 1

Affiliations

  1. Institute of Mathematics, Warsaw University, Białystok Branch, Akademicka 2 15-267 Białystok, Poland

Abstract

We construct fundamental solutions of some partial differential equations of order higher than two and examine properties of these solutions and of some related integrals. The results will be used in our next paper concerning boundary-value problems for these equations.

Keywords

ENG
partial differential equation, boundary-value problem, Volterra integral equation

Bibliography

  1. E. A. Baderko, On solvability of boundary-value problems for parabolic equations of higher order in domains with curvilinear boundaries, Differentsial'nye Uravneniya 12 (1976), 1782-1792 (in Russian).
  2. T. D. Dzhuraev, The boundary-value problems for equations of mixed and mixed-composite types, FAN, Tashkent, 1979 (in Russian).
  3. I. S. Gradshteĭn and E. M. Ryzhik, Tables of Integrals, Sums, Series and Products, Nauka, Moscow, 1962 (in Russian).
  4. W. Pogorzelski, Integral Equations and their Applications, Vol. 2, PWN, Warszawa, 1958 (in Polish).
Annales Polonici Mathematici
1996-1997/65/2
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Pages:
129-138
Main language of publication
English
Received
1995-01-06
Accepted
1996-06-15
Published
1997
Exact and natural sciences