Results 201 to 210 of about 41,011 (239)

Addition theorems for $${\mathcal {C}}^k$$ real functions and applications in ordinary differential equations

Aequationes mathematicae, 2021
We say that a given function \(\varphi\) has an \textit{addition theorem} if the value of \(\varphi(x+y)\) can be expressed as a function of \(\varphi(x)\) and \(\varphi(y)\). In other words, for some \(G\) the formula \(G(\varphi(x),\varphi(y),\varphi(x+y))=0\) holds for all \(x,y\) from a given domain.
Francisco Crespo, Salomón Rebollo-Perdomo, Jorge L. Zapata   +2 more
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Real-space Green’s function calculation for the solution of the diffusion equation in stratified turbid media

Journal of the Optical Society of America A, 2000
We have derived the space-time Green's function for the diffusion equation in layered turbid media, starting from the case of a planar interface between two random scattering media. This new approach for working directly in real space permits highly efficient numerical processing, which is a decisive criterion for the feasibility of the inverse problem
J M, Tualle, J, Prat, E, Tinet, S, Avrillier   +3 more
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Functional equations for the functions of real variables

Moscow University Computational Mathematics and Cybernetics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Elliptic partial differential equationsfor real analytic functions

Mathematische Zeitschrift, 2000
The problem of existence of a continuous linear right inverse operator for a given partial differential operators is studied. Suppose \(K\subset\mathbb{R}^N\) is a compact convex set with nonempty interior, \(\partial K\) is the boundary of \(K,\) \(A(K)\) is the space of all real analytic functions on \(K\) and the partial differential operator \(P(D):
openaire   +1 more source

Real wave equations for positive-frequency electromagnetic fields and their Green’s function solutions

Journal of Mathematical Physics, 1992
A method is provided whereby solutions of the inhomogeneous wave equations that describe the propagation of positive-frequency photons in the forward tube of complex Minkowski space may be formally expressed in terms of integrals involving the tensor product of appropriate Green’s functions.
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Solvability Conditions for the Nonlocal Boundary-Value Problem for a Differential-Operator Equation with Weak Nonlinearity in the Refined Sobolev Scale of Spaces of Functions of Many Real Variables

Ukrainian Mathematical Journal, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Il'kiv, V. S., Strap, N. I., Volyanska, I. I.   +2 more
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Equilibrium Limit of Diffusion Equation for Interacting Particles:  Are Bifurcations and Multiplicity of Correlation Functions an Artifact or Real?

The Journal of Physical Chemistry B, 2007
The structure of a fluid is analyzed by taking the equilibrium limit of a diffusion equation including the Giacomin-Lebowitz term for intermolecular interactions. This equation represents the differential mass balance in fluids with the Metropolis algorithm for fluxes; it allows a new qualitative yet analytical approximation for the direct correlation ...
G L, Aranovich, M D, Donohue
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Quadratic forms as Liapunov functions for linear differential equations with real constant coefficients

Mathematical Proceedings of the Cambridge Philosophical Society, 1965
AbstractThis paper deals with the existence of a quadratic form as a Liapunov function for a linear homogeneous vector differential equation with constant coefficient matrix such that the total derivative of the Liapunov function is strictly negative semi-definite and not identically equal to 0 for every non-trivial solution of the given equation.
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