On a boundary property of analytic functions [PDF]
Journal of Inequalities and Applications, 2017 Let f be an analytic function in the unit disc | z | < 1 $|z|
Mamoru Nunokawa, Janusz Sokół
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Stress analysis of thin and thick plates on elastic foundations using boundary and finite element methods [PDF]
, 1991 In this work an attempt has been made to derive a full finite element and boundary element theory for the analysis of thin and thick plates on elastic foundations. A new high order shear finite element capable of the analysis of thin thick plates has
Al-Hosani, Khaleel Ibrahim Abdulla
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Wigner functions with boundaries [PDF]
Journal of Mathematical Physics, 2002 We consider the general Wigner function for a particle confined to a finite interval and subject to Dirichlet boundary conditions. We derive the boundary corrections to the “stargenvalue” equation and to the time evolution equation. These corrections can be cast in the form of a boundary potential contributing to the total Hamiltonian which together ...
Dias, Nuno Costa, Prata, João Nuno
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Numerical solution of two dimensional harmonic boundary problems containing singularities by conformal transformation methods [PDF]
, 1971 Numerical solutions to a class of two dimensional harmonic mixed boundary value problems defined on rectangular domains and containing singularities are obtained using conformal transformation methods.
Whiteman, J R, Papamichael, N
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Boundary functions for bounded harmonic functions [PDF]
Transactions of the American Mathematical Society, 1969 Let D be the open unit disk in the complex plane and let C be its boundary, the unit circle. If 4 E C, then by an arc at t we mean a simple arc y with one endpoint at 4 such that y { } ( D. In this paper we use the term boundazy function in the following sense.
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Modified Green's Functions for Shallow Water Acoustic Wave Propagation [PDF]
, 2004 This article presents an assessment of alternative forms of the Green’s function for boundary element simulations of acoustic wave propagation in shallow water. It is assumed that the problem is two-dimensional, the source of acoustic disturbance is time-
Santiago, J A F S, Wrobel, L C
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Representation of Green’s functions of the wave equation on a segment in finite terms [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2022 Solutions of initial-boundary value problems on the excitation of oscillations of a finite segment by an instantaneous point sourse are investigated. Solutions to these problems, called Green's functions of the equation of oscillations on a segment ...
Malyshev, Ksaverii Yurievich
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Localized direct boundary–domain integro–differential formulations for scalar nonlinear boundary-value problems with variable coefficients [PDF]
, 2005 Mixed boundary-value Problems (BVPs) for a second-order quasi-linear elliptic partial differential equation with variable coefficients dependent on the unknown solution and its gradient are considered.
Mikhailov, SE
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Green functions for stationary problems with nonlocal boundary conditions
Lietuvos Matematikos Rinkinys, 2008 In this paper the Green functions for various stationary problems with nonlocal boundary conditions are investigated.We compare Green functions properties for classical boundary conditions with properties of Green functions for problems with nonlocal ...
Svetlana Roman, Artūras Štikonas
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One boundary value problem including a spectral parameter in all boundary conditions [PDF]
Opuscula Mathematica, 2023 In this paper, asymptotic formulae for solutions and Green's function of a boundary value problem are investigated when the equation and the boundary conditions contain a spectral parameter.
Ayşe Kabataş
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