Integral equation arising in the theory of partial differential equations
2010
artykuł naukowy
angielski
- integral equation
- partial differential equations
- Banach fixed point theorem
- integral inequality
- explicit estimate
- existence and uniqueness
- Bielecki type norm
- discrete analogues
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.
115 - 126
CC BY-NC-ND (uznanie autorstwa - użycie niekomercyjne - bez utworów zależnych)
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