Results 31 to 40 of about 406,386 (293)

Energy propagation in dissipative systems Part II: Centrovelocity for nonlinear wave equations [PDF]

open access: yes, 1991
We consider nonlinear wave equations, first order in time, of a specific form. In the absence of dissipation, these equations are given by a Poisson system, with a Hamiltonian that is the integral of some density.
Derks, G.L.A.   +2 more
core   +10 more sources

On Solvability Conditions for the Cauchy Problem for Non-Volterra Functional Differential Equations with Pointwise and Integral Restrictions on Functional Operators

open access: yesMathematics, 2023
Cauchy problems are considered for families of, generally speaking, non-Volterra functional differential equations of the second order. For each family considered, in terms of the parameters of this family, necessary and sufficient conditions for the ...
Eugene Bravyi
doaj   +1 more source

Quasiclassical Equations of Motion for Nonlinear Brownian Systems [PDF]

open access: yes, 1993
Following the formalism of Gell-Mann and Hartle, phenomenological equations of motion are derived from the decoherence functional formalism of quantum mechanics, using a path-integral description.
A. O. Caldeira   +10 more
core   +3 more sources

On the Volterra property of a boundary problem with integral gluing condition for mixed parabolic-hyperbolic equation [PDF]

open access: yes, 2013
In the present work we consider a boundary value problem with gluing conditions of integral form for parabolic-hyperbolic type equation. We prove that the considered problem has the Volterra property.
Akhtaeva, N. S.   +3 more
core   +3 more sources

Functional equations for one-loop master integrals for heavy-quark production and Bhabha scattering

open access: yes, 2009
The method for obtaining functional equations, recently proposed by one of the authors, is applied to one-loop box integrals needed in calculations of radiative corrections to heavy-quark production and Bhabha scattering. We present relationships between
Appell   +37 more
core   +1 more source

Affine Volterra processes [PDF]

open access: yes, 2019
We introduce affine Volterra processes, defined as solutions of certain stochastic convolution equations with affine coefficients. Classical affine diffusions constitute a special case, but affine Volterra processes are neither semimartingales, nor ...
Jaber, Eduardo Abi   +2 more
core   +3 more sources

Discrete integrable equations and special functions [PDF]

open access: yesUfimskii Matematicheskii Zhurnal, 2017
Summary: A generic scheme based on the matrix Riemann-Hilbert problem theory is proposed for constructing classical special functions satisfying difference equations. These functions comprise gamma- and zeta functions, as well as orthogonal polynomials with corresponding recurrence relations.
openaire   +1 more source

On global attractivity of solutions of a functional-integral equation

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2007
We prove an existence theorem for a quadratic functional-integral equation of mixed type. The functional-integral equation studied below contains as special cases numerous integral equations encountered in nonlinear analysis.
Mohamed Darwish
doaj   +1 more source

Families of particles with different masses in PT-symmetric quantum field theory [PDF]

open access: yes, 2010
An elementary field-theoretic mechanism is proposed that allows one Lagrangian to describe a family of particles having different masses but otherwise similar physical properties. The mechanism relies on the observation that the Dyson-Schwinger equations
Bender, C. M., Klevansky, S. P.
core   +2 more sources

An Integral Equation Involving Legendre Functions [PDF]

open access: yesJournal of the Society for Industrial and Applied Mathematics, 1964
Rodrigues’s formula can be applied also to (1.1) and (1.3) but here the situation is slightly more involved in that the integrals with respect to σ^2 are of fractional order and their inversion requires the knowledge of differentiation and integration of fractional order.
openaire   +2 more sources

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