Hyperbolic harmonic functions and the associated integral equations
2015 ◽
Vol 53
(1)
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pp. 37-56
Keyword(s):
Abstract In this paper we consider a class of integral equations associated with the invariant mean value property of hyperbolic harmonic functions. We have shown that nonconstant solutions of these integral equations are functions of unbounded variations and do not attain their supremum or infimum on [0; 1): We present an algorithm to obtain numerical solutions of these integral equations. We also consider the equivalent ordinary differential equations and used MATLAB to obtain numerical solutions of these differential equations.
2005 ◽
Vol 50
(14)
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pp. 1049-1059
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2003 ◽
Vol 18
(3)
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pp. 481-484
1998 ◽
Vol 42
(3)
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pp. 406-419
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1992 ◽
Vol 24
(6)
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pp. 559-564
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2021 ◽
Vol 87
(1)
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pp. 30-40
2009 ◽
pp. 171-176