Integral equation arising in the theory of partial differential equations

• Autorzy: Pachpatte B. G.
• Języki publikacji: EN

Abstrakty

EN

The aim of the present paper is to study some basic qualitative properties of solutions of a certain integral equation arising in the theory of partial differential equations. The well known Banach fixed point theorem and the new integral inequality with explicit estimate obtained in the present paper are used to establish the results.

Słowa kluczowe

EN

integral equation; partial differential equations; Banach fixed point theorem; integral inequality; explicit estimate; existence and uniqueness; Bielecki type norm; discrete analogues

PL

równanie całkowe; równania różniczkowe cząstkowe; twierdzenie Banacha o punkcie stałym

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2010
• Tom: Nr 43
• Strony: 115--126
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Pachpatte B. G.

• 57 Shri Niketan Colony, Near Abhinay Talkies Aurangabad 431 001 (Maharashtra), India,

Bibliografia

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• [11] Pachpatte B.G., Integral and Finite Difference Inequalities and Applications, North-Holland Nathematics Studies, Vol. 205, Elsevier Science B.V., Amsterdam, 2006.
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