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The Hellmann–Feynman theorem, the comparison theorem, and the envelope theory [PDF]
The envelope theory is a convenient method to compute approximate solutions for bound state equations in quantum mechanics. It is shown that these approximate solutions obey a kind of Hellmann–Feynman theorem, and that the comparison theorem can be ...
Claude Semay
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Local estimates for functionals rotationally invariant with respect to the gradient [PDF]
This paper concerns minimization problems from Calculus of Variations rotationally invariant with respect to the gradient. Inspired by properties associated with results which are valid for elliptic partial differential equations, it presents some local ...
Telma João Santos
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Cohomological comparison theorem [PDF]
If $f$ is an idempotent in a ring $Λ$, then we find sufficient \linebreak conditions which imply that the cohomology rings $\oplus_{n\ge 0}Ext^n_Λ(Λ/{\br},Λ/{\br})$ and \linebreak $\oplus_{n\ge 0}Ext^n_{fΛf}(fΛf/f{\br} f,fΛf/f{\br} f)$ are eventually isomorphic. This result allows us to compare finite generation and GK dimension of the cohomology rings
Green, Edward L. +2 more
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The paper is devoted to a nonstationary initial–boundary value problem governing complex heat exchange in a convex semitransparent body containing several absolutely black inclusions.
Andrey Amosov
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The energy eigenvalues of the ground state helium atom and lowest two excited states corresponding to the configurations 1s2s embedded in the plasma environment using Hulthén, Debye–Hückel and exponential cosine screened Coulomb model potentials are ...
Salah B. Doma +2 more
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Anticipated BSDEs Driven by Fractional Brownian Motion with a Time-Delayed Generator
This article describes a new form of an anticipated backward stochastic differential equation (BSDE) with a time-delayed generator driven by fractional Brownian motion, further known as fractional BSDE, with a Hurst parameter H∈(1/2,1).
Pei Zhang +2 more
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In this paper the authors consider a pair of differential equations y 1
Leighton, Walter, Kian Ke, William Oo
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Comparison Theorems on Weighted Finsler Manifolds and Spacetimes with ϵ-Range
We establish the Bonnet–Myers theorem, Laplacian comparison theorem, and Bishop–Gromov volume comparison theorem for weighted Finsler manifolds as well as weighted Finsler spacetimes, of weighted Ricci curvature bounded below by using the weight function.
Lu Yufeng +2 more
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Mean-Field and Anticipated BSDEs with Time-Delayed Generator
In this paper, we discuss a new type of mean-field anticipated backward stochastic differential equation with a time-delayed generator (MF-DABSDEs) which extends the results of the anticipated backward stochastic differential equation to the case of mean-
Pei Zhang +2 more
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Nonlinear Differential Equations with Distributed Delay: Some New Oscillatory Solutions
The oscillation of a class of fourth-order nonlinear damped delay differential equations with distributed deviating arguments is the subject of this research.
Barakah Almarri +3 more
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