Results 91 to 100 of about 60,560 (308)
We study the boundary-value problem for a linear system of differential equations written in the form of differential-operator equations $$ aD_t u(t)+bBu(t)=f(t) $$ with nonlocal boundary conditions at $t$.
Dmitriy V Kornienko
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No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system
Abstract This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave‐like phenomena and complexity, become even more challenging with weak coupling between subsystems.
Meriem Louafi +3 more
wiley +1 more source
Existence of solutions for an n-dimensional operator equation and applications to BVPs
By applying the Guo-Lakshmikantham fixed point theorem on high dimensional cones, sufficient conditions are given to guarantee the existence of positive solutions of a system of equations of the form $$ x_i(t)=\sum_{k=1}^n\sum_{j=1}^n\gamma_{ij}(t ...
George L. Karakostas
doaj
Modified Nonlocal Strain Gradient Elasticity for Nano-Rods and Application to Carbon Nanotubes
Nowadays, the modified nonlocal strain gradient theory provides a mathematically well-posed and technically reliable methodology to assess scale effects in inflected nano-structures.
Raffaele Barretta +2 more
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Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures
This paper is concerned with the compactness of metrics of the disk with prescribed Gaussian and geodesic curvatures. We consider a blowing-up sequence of metrics and give a precise description of its asymptotic behavior.
Jevnikar, Aleks +3 more
core
Glycerol Carbonate from Dimethyl Carbonate and Glycerol Over TBD‐Functionalized SBA‐16
The transesterification reaction of glycerol with dimethyl carbonate (DMC) is an attractive path for glycerol carbonate production. A heterogeneous solid base catalyst was developed, combining strong basicity with high surface area and structural stability. Glycerol conversion reached 97% with a high glycerol carbonate yield.
Amirreza Faraj‐Nezhadi +3 more
wiley +1 more source
Ghost effect from Boltzmann theory
Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito +3 more
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Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval
The cone theory and monotone iterative technique are used to investigate the minimal nonnegative solution of nonlocal boundary value problems for second-order nonlinear impulsive differential equations on an infinite interval with an infinite number of ...
Xuemei Zhang +2 more
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A scattering‐robust 3D speckle customization method is proposed to enhance both resolution and imaging depth in scattering tissue. Applied to light‐field microscopy (LFM), it improves 3D resolution by over twofold under strong optical scattering. In wide‐field fluorescence imaging, it enables a substantial improvement in imaging depth, allowing imaging
Yue Xing +4 more
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Nonlocal active sound control for composite regions
In the active sound control problem, additional sound sources, known as control sources, are implemented at the perimeter of a protected domain. The control sources can generate secondary sound inside the shielded domain, which attenuates incoming noise. This leads to an inverse source problem.
Nan Hu, Sergey Utyuzhnikov
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