Results 11 to 20 of about 4,846 (246)
An integral that counts the zeros of a function
Open Mathematics, 2018 Given a real function f on an interval [a, b] satisfying mild regularity conditions, we determine the number of zeros of f by evaluating a certain integral. The integrand depends on f, f′ and f″.
Hungerbühler Norbert, Wasem Micha
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Deterministic homogenization of integral functionals with convex integrands [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2010 The authors develop a framework adapted to the homogenization of problems involving integral functionals and based on the concept of \(H\)-algebra. The generic problem is written as \(\min \{F_\varepsilon(v):v\in W_0^{1,p}(\Omega ;\mathbb R^n)\}\) where the functional \(F_\varepsilon\) is defined on \(W_{0}^{1,p}(\Omega ;\mathbb R^{n})\) by \(F_ ...
Nguetseng, Gabriel +2 more
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Nonlinear Volterra Integrodifferential Equations from above on Unbounded Time Scales
Mathematics, 2023 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
Моделирование и анализ информационных систем, 2018 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
IJAIN (International Journal of Advances in Intelligent Informatics), 2019 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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Mathematics, 2023 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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Properties of Laplace-Stieltjes-type integrals
Математичні Студії, 2023 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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Convergence rates for regularization functionals with polyconvex integrands [PDF]
Inverse Problems, 2017 15 pages, no ...
Kirisits, Clemens, Scherzer, Otmar
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Tensorial Reconstruction at the Integrand Level [PDF]
, 2010 We present a new approach to the reduction of one-loop amplitudes obtained by reconstructing the tensorial expression of the scattering amplitudes. The reconstruction is performed at the integrand level by means of a sampling in the integration momentum.
F. Tramontano +9 more
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On duality of color and kinematics in (A)dS momentum space
Journal of High Energy Physics, 2021 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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