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2 Fasciculi Mathematici

2 Pachpatte B. G.

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On higher order Volterra-Fredholm integrodifferential equation

100%

Pachpatte B. G.

tom Nr 37

35-48

In the present paper we study the existence, uniqueness and other properties of soltions of a certain higher order Volterra-Fredholm integrodifferential equation. The well known Banach fixed point theorem coupled with Bilecki type norm and the new integral inequality with explicit estimate are used to establish the results.

Integral equation arising in the theory of partial differential equations

58%

Pachpatte B. G.

2010

tom Nr 43

115-126

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.