We consider a nonlocal boundary value problem for non-stationary composite type equation of the third order. The values of function and its derivatives up to the second order on the boundary are given as a linear combination.
Abdukomil Risbekovich Khashimov
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Potential-Based Large-Signal Stability Analysis in DC Power Grids With Multiple Constant Power Loads
The increasing adoption of power electronic devices may lead to large disturbance in DC power grids. Traditionally, the Brayton-Moser mixed potential theory is utilized to address large-signal stability (LSS) analysis.
Fangyuan Chang +3 more
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Eigenvalue asymptotics for potential type operators on Lipschitz surfaces of codimension greater than 1 [PDF]
For potential type integral operators on a Lipschitz submanifold the asymptotic formula for eigenvalues is proved. The reasoning is based upon the study of the rate of operator convergence as smooth surfaces approximate the Lipschitz one.
Grigori Rozenblum, Grigory Tashchiyan
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Application of low-order potential solutions to higher-order vertical traction boundary problems in an elastic half-space [PDF]
New solutions of potential functions for the bilinear vertical traction boundary condition are derived and presented. The discretization and interpolation of higher-order tractions and the superposition of the bilinear solutions provide a method of ...
Adam G. Taylor, Jae H. Chung
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Analysis of tangential contact boundary value problems using potential functions [PDF]
This paper presents an analysis technique of high-order contact potential problems and its application to an elastic settlement analysis of a shallow foundation system subjected to a combined traction boundary condition.
Adam G. Taylor, Jae H. Chung
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Elastic Stress Field beneath a Sticking Circular Contact under Tangential Load
Based on a potential theoretical approach, the subsurface stress field is calculated for an elastic half-space which is subject to normal and uniaxial tangential surface tractions that—in the case of elastic decoupling—correspond to rigid normal and ...
Emanuel Willert
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Monogenic Functions in a Finite-Dimensional Semi-Simple Commutative Algebra
We obtain a constructive description of monogenic functions taking values in a finite-dimensional semi-simple commutative algebra by means of holomorphic functions of the complex variable.
Plaksa S. A., Pukhtaievych R. P.
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Integral theorems for the quaternionic G-monogenic mappings
In the paper [1] considered a new class of quaternionic mappings, so- called G-monogenic mappings. In this paper we prove analogues of classical integral theorems of the holomorphic function theory: the Cauchy integral theorems for surface and ...
Shpakivskyi V. S., Kuzmenko T. S.
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Potential NRQCD: an effective theory for heavy quarkonium [PDF]
Within an effective field theory framework we study heavy-quark--antiquark systems with a typical distance between the heavy quark and the antiquark smaller than $1/\Lambda_{\rm QCD}$. A suitable definition of the potential is given within this framework,
Aglietti +67 more
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Problem on extremal decomposition of the complex plane
In geometric function theory of a complex variable problems on extremal decomposition with free poles on the unit circle are well known.
Denega Iryna, Zabolotnii Yaroslav
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