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A study of factors influencing the solution of singular integral equations

✍ Scribed by George Tsamasphyros


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
851 KB
Volume
24
Category
Article
ISSN
0013-7944

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✦ Synopsis


The behavior of the solution of a singular integral equation in terms of the particular behavior of its regular kernel and the right hand side function was studied. Some new results and other well-known ones have been used to clarify the intluence of these factors on the solution of the equation. As a consequence of the above results a particular form of the unknown function was established.


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On the approximate solution of some two-
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## Abstract An approximation method for a wide class of two‐dimensional integral equations is proposed. The method is based on using a special function system. Orthonormality and good interaction with fundamental integral operators arising in partial differential equations are remarkable properties