Results 11 to 20 of about 1,754,523 (282)
An equivalent condition to the Jensen inequality for the generalized Sugeno integral. [PDF]
For the classical Jensen inequality of convex functions, i.e., [Formula: see text] an equivalent condition is proved in the framework of the generalized Sugeno integral.
Abbaszadeh, Sadegh +3 more
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Due to their importance and numerous applications, evolution mixed problems with non local constraints in the boundary conditions have been extensively studied during the two last decades.
Said Mesloub
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Boosting the Maxwell double layer potential using a right spin factor [PDF]
We construct new spin singular integral equations for solving scattering problems for Maxwell's equations, both against perfect conductors and in media with piecewise constant permittivity, permeability and conductivity, improving and extending earlier ...
Rosén, Andreas
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Generalized Feynman integrals via conditional Feynman integrals.
The paper is a continuing exercise by the authors to arrive at the most generalized version of Feynman integrals studied by Cameron and his collaborators. The starting point is the Wiener integral \(\int_{C_ 0[0,T)} F(\lambda^{-1/2} Z(x,.)+\xi) (\lambda^{-1/2} Z(x,T)+\xi)m(dx)\) where \(Z\) is the Gaussian process \(Z(x,t)=\int^ t_ 0 h(s)dx(s)\) with \(
Chung, Dong Myung +2 more
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Operator-valued Feynman integrals via conditional Feynman integrals [PDF]
The authors define a ``conditional integral of Feynman'' which plays the same role as the conditional expectation with regard to the Wiener integral. Then they use a conditional integral to calculate the Feynman integrals (kind of operational integral of Feynman) of different functions. The proofs are carefully developed.
Chung, Dong Myung +2 more
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Mixed problem with integral condition for the hyperbolic equation
In this paper we consider a nonlocal problem with integral condition of the first kind. Existence and uniqueness of a solution of this problem are proved. The proof is based on a priori estimates and auxiliary problem method.
Natali D Golubeva
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Quantum integrability of certain boundary conditions [PDF]
11 pages, Latex file, minor changes, one reference ...
Moriconi, M., De Martino, A.
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Annihilation poles of a Smirnov-type integral formula for solutions to quantum Knizhnik--Zamolodchikov equation [PDF]
We consider the recently obtained integral representation of quantum Knizhnik-Zamolodchikov equation of level 0. We obtain the condition for the integral kernel such that these solutions satisfy three axioms for form factor \'{a} la Smirnov.
Davies B +13 more
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Minimal Conditions for Implications of Gronwall-Bellman Type [PDF]
Gronwall-Bellman type inequalities entail the following implication: if a sufficiently integrable function satisfies a certain homogeneous linear integral inequality, then it is nonpositive.
Herdegen, Martin, Herrmann, Sebastian
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The Fucík spectrum for nonlocal BVP with Sturm–Liouville boundary condition
Boundary value problem of the form x''=-μx++λx-, αx(0)+(1-α)x'(0)=0, ∫01 x(s)ds=0 is considered, where μ,λ∈ R and α∈ [0,1]. The explicit formulas for the spectrum of this problem are given and the spectra for some α values are constructed.
Natalija Sergejeva
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