Results 31 to 40 of about 406,386 (293)
Energy propagation in dissipative systems Part II: Centrovelocity for nonlinear wave equations [PDF]
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
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]
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]
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
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]
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]
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
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]
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]
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

