Estimation of the smaller and larger of truncation parameters of two nonregular distributions

1997 ◽  
Vol 26 (10) ◽  
pp. 2439-2456 ◽  
Author(s):  
N.S. Kambo ◽  
B.R. Handa ◽  
V. Ravindranath
1999 ◽  
Vol 28 (9) ◽  
pp. 2037-2044
Author(s):  
Shaul K. Bar-Lev ◽  
Camil Fuchs

Mathematics ◽  
2020 ◽  
Vol 8 (12) ◽  
pp. 2117
Author(s):  
Tohru Morita ◽  
Ken-ichi Sato

For Euler’s differential equation of order n, a theorem is presented to give n solutions, by modifying a theorem given in a recent paper of the present authors in J. Adv. Math. Comput. Sci. 2018; 28(3): 1–15, and then the corresponding theorem in distribution theory is given. The latter theorem is compared with recent studies on Euler’s differential equation in distribution theory. A supplementary argument is provided on the solutions expressed by nonregular distributions, on the basis of nonstandard analysis and Laplace transform.


2015 ◽  
Vol 24 (1) ◽  
pp. 55-73 ◽  
Author(s):  
V. Vancak ◽  
Y. Goldberg ◽  
S. K. Bar-Lev ◽  
B. Boukai

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