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

10.12737/4713 ◽  
2014 ◽  
Vol 2 (4) ◽  
pp. 103-105
Author(s):  
A. Mahney
Keyword(s):  
Fundamental Solution ◽  
Solution System ◽  
Quasidifferential Equation

scholarly journals Asymptotics of a fundamental solution system for a quasidifferential equation with measures on the semiaxis

2014 ◽  
Vol 6 (1) ◽  
pp. 113-122
Author(s):  
O.V. Makhnei
Keyword(s):  
Fundamental Solution ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Asymptotic Formulas ◽  
Solution System ◽  
Asymptotics Of Eigenvalues ◽  
Eigenvalues And Eigenfunctions ◽  
Quasidifferential Equation

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.

Cauchy Problem for Equations with Fractional Differentiation Bessel Operator in the Space of Temperate Distributions

2003 ◽  
Vol 8 (1) ◽  
pp. 61-75
Author(s):  
V. Litovchenko
Keyword(s):  
Functional Analysis ◽  
Cauchy Problem ◽  
Fundamental Solution ◽  
Initial Function ◽  
Well Posedness ◽  
Fractional Differentiation ◽  
Basic Tool ◽  
Conjugate Space ◽  
Analysis Technique ◽  
The Cauchy Problem

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.

Lattice Parameter Study in the Bi1–xSbx Solid-solution System

1982 ◽  
Vol 17 (10) ◽  
pp. 1233-1239 ◽  
Author(s):  
H. Berger ◽  
B. Christ ◽  
J. Troschke
Keyword(s):  
Solid Solution ◽  
Lattice Parameter ◽  
Parameter Study ◽  
Solution System ◽  
Solid Solution System
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