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Вестник КазНУ. Серия математика, механика, информатика, 2021 Regarding the importance of teaching linear differential equations, it should be noted that every physical and technical phenomenon, when expressed in mathematical sciences, is a differential equation.
Ghulam Hazrat Aimal Rasa, G. Auzerkhan
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Phonon Green's function. [PDF]
Proceedings of the National Academy of Sciences, 1991 The concepts of source and quantum action principle are used to produce the phonon Green's function appropriate for an initial phonon vacuum state. An application to the Mossbauer effect is presented.
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Journal of Combinatorial Theory, Series A, 2000 The authors study discrete Green's functions and their relationship with discrete Laplace equations. They give different ways to construct such functions: Eigenfunctions or Cartesian product of graphs, among others.
Chung, Fan, Yau, S.-T.
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Semiclassical Green Function in Mixed Spaces [PDF]
, 1997 A explicit formula on semiclassical Green functions in mixed position and momentum spaces is given, which is based on Maslov's multi-dimensional semiclassical theory.
Guangcan Yang +10 more
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The best constant of Sobolev inequality corresponding to anti-periodic boundary value problem
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper we establish the best constant of $\mathcal{L}^{p}$ Sobolev inequality for a function with anti-periodic boundary conditions. The best constant is expressed by $\mathcal{L}^q$ norm of $(M-1)$-th order Euler polynomial.
Jozef Kiseľák
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Nuclear Shadowing in DIS: Numerical Solution of the Evolution Equation for the Green Function [PDF]
, 2003 Within a light-cone QCD formalism based on the Green function technique incorporating color transparency and coherence length effects we study nuclear shadowing in deep-inelastic scattering at moderately small Bjorken x_{Bj}.
A. Goldberg +38 more
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Responses of unicellular predators to cope with the phototoxicity of photosynthetic prey
Nature Communications, 2019 Photosynthesis generates reactive oxygen species that can damage cells. Here, the authors show that unicellular predators of photosynthetic prey have shared responses to photosynthetic oxidative stress and these may also have been important for the ...
Akihiro Uzuka +7 more
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Multipole matrix elements of Green function of Laplace equation [PDF]
, 2015 Multipole matrix elements of Green function of Laplace equation are calculated. The multipole matrix elements of Green function in electrostatics describe potential on a sphere which is produced by a charge distributed on the surface of a different ...
Górka, Przemysław, Makuch, Karol
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Advanced Industrial and Engineering Polymer Research, 2020 The melt drawability including melt strength (MS) and stretching ratio (V) of the neat low-density polyethylene (LDPE) and the LDPE composites loaded with a nanometer zinc oxide (nano-ZnO) were measured using a melt spinning method in capillary extruding
Ji-Zhao Liang
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BOUNDARY VALUE PROBLEM WITH SHIFT FOR A FRACTIONAL ORDER DELAY DIFFERENTIAL EQUATION [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019 In this paper we prove existence and uniqueness theorem to a boundary value problem with shift for a fractional order ordinary delay differential equation. The solution of the problem is written out in terms of the Green function.
M. G. Mazhgikhova
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