Asymptotics of a fundamental solution system for a quasidifferential equation with measures on the semi-axis

Author(s):  
A. Mahney
2014 ◽  
Vol 6 (1) ◽  
pp. 113-122
Author(s):  
O.V. Makhnei

With the help of a conception of quasiderivatives asymptotic formulas for a fundamental solution system of a quasidifferential equation with measures on the semiaxis $[0,\infty)$ are constructed. The obtained asymptotic formulas allow to investigate asymptotics of eigenvalues and eigenfunctions of the corresponding boundary value problem.


2003 ◽  
Vol 8 (1) ◽  
pp. 61-75
Author(s):  
V. Litovchenko

The well-posedness of the Cauchy problem, mentioned in title, is studied. The main result means that the solution of this problem is usual C∞ - function on the space argument, if the initial function is a real functional on the conjugate space to the space, containing the fundamental solution of the corresponding problem. The basic tool for the proof is the functional analysis technique.


1982 ◽  
Vol 17 (10) ◽  
pp. 1233-1239 ◽  
Author(s):  
H. Berger ◽  
B. Christ ◽  
J. Troschke

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