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

• Autorzy: Jan Popiołek
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

partial differential equation; boundary-value problem; Volterra integral equation

Kategorie tematyczne

• 35G15: Boundary value problems for linear higher-order equations
• 45D05: Volterra integral equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1996-1997
• Tom: 65
• Numer: 2
• Strony: 129-138

Daty

wydano

1997

otrzymano

1995-01-06

poprawiono

1996-06-15

Twórcy

autor

Jan Popiołek

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

Bibliografia

• [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).