scholarly journals ON THE DISCRETENESS OF THE SPECTRUM OF INTEGRODIFFERENTIAL OPERATOR-FUNCTIONS IN THE PROBLEM OF OSCILLATIONS IN OPEN VOLUME RESONATORS

2020 ◽  
Author(s):  
M. A. Moskaleva ◽  
◽  
Yu. G. Smirnov ◽  
Keyword(s):  
Integrodifferential Operator ◽  
Open Volume ◽  
Operator Functions

scholarly journals Existence of a Unique Solution to a Fractional Partial Differential Equation and Its Continuous Dependence on Parameters

Entropy ◽  
2021 ◽  
Vol 23 (7) ◽  
pp. 851
Author(s):  
Robert Stegliński
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Weak Solution ◽  
Variational Methods ◽  
Unique Solution ◽  
Continuous Dependence ◽  
Fractional Laplacian ◽  
Unique Weak Solution ◽  
Fractional Partial Differential Equation ◽  
Integrodifferential Operator

In the present paper we give conditions under which there exists a unique weak solution for a nonlocal equation driven by the integrodifferential operator of fractional Laplacian type. We argue for the optimality of some assumptions. Some Lyapunov-type inequalities are given. We also study the continuous dependence of the solution on parameters. In proofs we use monotonicity and variational methods.

Positron Annihilation Techniques as Nondestructive Tool for Probing Nanosized Open-Volume Defects in Materials (abstract)

2009 ◽  
Author(s):  
Mona Mohsen ◽  
Beverly Karplus Hartline ◽  
Renee K. Horton ◽  
Catherine M. Kaicher
Keyword(s):  
Positron Annihilation ◽  
Open Volume

On the trace of certain rational operator functions

1992 ◽  
Vol 15 (1) ◽  
pp. 30-42 ◽  
Author(s):  
Hansj�rg Linden ◽  
Josef Menzel
Keyword(s):  
Operator Functions

Differentiation of Operator Functions and Perturbation Bounds

1998 ◽  
Vol 191 (3) ◽  
pp. 603-611 ◽  
Author(s):  
Rajendra Bhatia ◽  
Dinesh Singh ◽  
Kalyan B. Sinha
Keyword(s):  
Perturbation Bounds ◽  
Operator Functions
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