Results 11 to 20 of about 3,790 (213)
Nonlinear Volterra Integrodifferential Equations from above on Unbounded Time Scales
The paper is devoted to studying the existence, uniqueness and certain growth rates of solutions with certain implicit Volterra-type integrodifferential equations on unbounded from above time scales.
Andrejs Reinfelds, Shraddha Christian
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Isoperimetric and Functional Inequalities
We establish lower estimates for an integral functional$$\int\limits_\Omega f(u(x), \nabla u(x)) \, dx ,$$where \(\Omega\) -- a bounded domain in \(\mathbb{R}^n \; (n \geqslant 2)\), an integrand \(f(t,p) \, (t \in [0, \infty),\; p \in \mathbb{R}^n)\) --
Vladimir S. Klimov
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Nonstandard optimal control problem: case study in an economical application of royalty problem
This paper's focal point is on the nonstandard Optimal Control (OC) problem. In this matter, the value of the final state variable, y(T) is said to be unknown.
Wan Noor Afifah Wan Ahmad +6 more
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Numerical integration is a basic step in the implementation of more complex numerical algorithms suitable, for example, to solve ordinary and partial differential equations.
Boian Alexandrov +4 more
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An analysis of the integrand occurring in correlation energy functionals [PDF]
AbstractAn analysis of the integrand occurring in current density functional calculations is presented, concentrating attention on correlation energy functionals and the atomic regions, i.e., the regions of space surrounding atomic centers. The analysis follows the structure of a previously proposed numerical integration scheme for three‐dimensional ...
FORTUNELLI A, SALVETTI O
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On duality of color and kinematics in (A)dS momentum space
We explore color-kinematic duality for tree-level AdS/CFT correlators in momentum space. We start by studying the bi-adjoint scalar in AdS at tree-level as an illustrative example.
Soner Albayrak +2 more
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Properties of Laplace-Stieltjes-type integrals
The properties of Laplace-Stieltjes-type integrals $I(r)=\int_{0}^{\infty}a(x)f(xr)dF(x)$ are studied, where $F$ is a non-negative non-decreasing unbounded continuous on the right function on $[0,\,+\infty)$, $f(z)=\sum_{k=0}^{\infty}f_kz^k$ is an entire
M. M. Sheremeta
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Using Neural Networks for Fast Numerical Integration and Optimization
We present a novel numerical integration technique, Neural Network Integration, or NNI, where shallow neural network design is used to approximate an integrand function within a bounded set. This function approximation is such that a closed-form solution
Steffan Lloyd +2 more
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Rearrangement inequalities for functionals with monotone integrands
20 pages.
Burchard, Almut, Hajaiej, Hichem
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Epi-Convergence of Expectation Functions under Varying Measures and Integrands
For expectation functions on metric spaces, we provide sufficient conditions for epi-convergence under varying probability measures and integrands, and examine applications in the area of sieve estimators, mollifier smoothing, PDE-constrained optimization, and stochastic optimization with expectation constraints.
Feinberg, Eugene A. +2 more
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