Appendix G: Operator Formulation

2015 ◽  
pp. 591-592
Keyword(s):  
Operator Formulation

scholarly journals Modeling of the Eigenfield of a Prestressed Hyperelastic Membrane Encapsulating a Liquid

2006 ◽  
Vol 6 (4) ◽  
pp. 367-385 ◽  
Author(s):  
Ivan. P. Gavrilyuk ◽  
M. Hermann ◽  
A. Timokha ◽  
V. Trotsenko
Keyword(s):  
Boundary Problem ◽  
Approximate Method ◽  
Cylindrical Cavity ◽  
Circular Membrane ◽  
Singular Behavior ◽  
Operator Formulation ◽  
Circular Cylindrical Cavity

AbstractA spectral boundary problem on the eigenfield of an inflated/deflated stretched circular membrane, which is clamped to a circular cylindrical cavity filled with a liquid, is examined. The paper presents an operator formulation of the problem and proposes a new semi-analytical approximate method. The method captures singular behavior of the solution in the pole and at the fastening contour of the membrane.

Operator formulation of interacting string field theory (I)

1987 ◽  
Vol 283 ◽  
pp. 1-49 ◽  
Author(s):  
David J. Gross ◽  
Antal Jevicki
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Operator Formulation

scholarly journals A Singular Sturm-Liouville Problem with Limit Circle Endpoints and Eigenparameter Dependent Boundary Conditions

2017 ◽  
Vol 2017 ◽  
pp. 1-12 ◽  
Author(s):  
Jinming Cai ◽  
Zhaowen Zheng
Keyword(s):  
Boundary Conditions ◽  
Liouville Problem ◽  
Fundamental Solutions ◽  
Asymptotic Formulas ◽  
Limit Circle ◽  
Operator Formulation ◽  
Sturm Liouville ◽  
Completeness Of Eigenfunctions

In this paper, we investigate a class of discontinuous singular Sturm-Liouville problems with limit circle endpoints and eigenparameter dependent boundary conditions. Operator formulation is constructed and asymptotic formulas for eigenvalues and fundamental solutions are given. Moreover, the completeness of eigenfunctions is discussed.

Sign in / Sign up

Export Citation Format

Share Document