Results 41 to 50 of about 28,261 (286)

A Study on Controllability of a Class of Impulsive Fractional Nonlinear Evolution Equations with Delay in Banach Spaces

Fractal and Fractional, 2021
Under a new generalized definition of exact controllability we introduced and with a appropriately constructed time delay term in a special complete space to overcome the delay-induced-difficulty, we establish the sufficient conditions of the exact ...
Daliang Zhao
doaj   +1 more source

Fermion determinants in matrix models of QCD at nonzero chemical potential [PDF]

, 1997
The presence of a chemical potential completely changes the analytical structure of the QCD partition function. In particular, the eigenvalues of the Dirac operator are distributed over a finite area in the complex plane, whereas the zeros of the ...
A. D. Jackson, A. D. Jackson, A. D. Jackson, A. Gocksch, A. Ukawa, C. DeTar, E. V. Shuryak, F. Butler, F. Haake, H. J. Sommers, I. M. Barbour, J. B. Kogut, J. Ginibre, J. J. M. Verbaarschot, J. J. M. Verbaarschot, J. J. M. Verbaarschot, J. J. M. Verbaarschot, J. Vink, M. A. Halasz, M. F. L. Golterman, M. Halasz, M. Stephanov, M. Stephanov, N. Bilic, N. Bilic, P. E. Gibbs, P. E. Gibbs, P. H. Damgaard, P. H. Damgaard, R. A. Janik, R. A. Janik, S. J. Hands, T. Banks, T. Wettig, V. Matveev, Y. Fyodorov   +35 more
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Resolvent-Generated Generalized Spectral Operators for Nonlinear Dynamical Systems via Koopman Semigroups

Mathematics
Spectral methods form a cornerstone of linear dynamics, where evolution is resolved into harmonic modes governed by eigenvalues and spectral measures of normal operators.
Rui A. P. Perdigão
doaj   +1 more source

Scattering properties of Sturm-Liouville equations with sign-alternating weight and transmission condition at turning point

Open Mathematics, 2023
In this article, we focus on the scattering analysis of Sturm-Liouville type singular operator including an impulsive condition and turning point. In the classical literature, there are plenty of papers considering the positive values of the weight ...
Çoşkun Nimet, Görgülü Merve
doaj   +1 more source

Time-resolved analysis of transcription through chromatin [PDF]

Methods, 2019
During transcription along nucleosomal DNA, RNA polymerase II (Pol II) pauses at multiple positions and induces formation of multiple intermediates that aid in maintaining proper chromatin structure. To describe the kinetics of this multiple-step reaction, we utilized a computational model-based approach and KinTek Explorer software to analyze the time
Han-Wen, Chang, Fu-Kai, Hsieh, Smita S, Patel, Vasily M, Studitsky   +3 more
openaire   +2 more sources

From semiclassical Strichartz estimates to uniform $L^p$ resolvent estimates on compact manifolds

, 2017
We prove uniform $L^p$ resolvent estimates for the stationary damped wave operator. The uniform $L^p$ resolvent estimates for the Laplace operator on a compact smooth Riemannian manifold without boundary were first established by Dos Santos Ferreira ...
Burq, Nicolas, Ferreira, David Dos Santos, Krupchyk, Katya   +2 more
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A low-order decomposition of turbulent channel flow via resolvent analysis and convex optimization [PDF]

, 2014
We combine resolvent-mode decomposition with techniques from convex optimization to optimally approximate velocity spectra in a turbulent channel. The velocity is expressed as a weighted sum of resolvent modes that are dynamically significant, non ...
Jovanovic, M. R., McKeon, B. J., Moarref, R., Sharma, A. S., Tropp, J. A.   +4 more
core   +2 more sources

On the Spectrum of the Non-Selfadjoint Differential Operator with an Integral Boundary Condition and Negative Weight Function

Universal Journal of Mathematics and Applications, 2023
In this paper, we shall study the spectral properties of the non-selfadjoint operator in the space $L_{\varrho }^{2}\left(\mathbb{R}_{+}\right) $ generated by the Sturm-Liouville differential equation \begin{equation*} -y^{^{\prime \prime }}+q\left( x ...
Nimet Coskun, Merve Görgülü
doaj   +1 more source

Endpoint resolvent estimates for compact Riemannian manifolds [PDF]

, 2016
We prove $L^p\to L^{p'}$ bounds for the resolvent of the Laplace-Beltrami operator on a compact Riemannian manifold of dimension $n$ in the endpoint case $p=2(n+1)/(n+3)$.
Frank, Rupert L., Schimmer, Lukas
core   +3 more sources

Study of Second-Order Differential Operators on Graphs with Small Edges

Mathematics
In this work, we investigate a Schrödinger operator defined on a model graph containing small loops, under the assumption that the standard nonresonance condition—typically ensuring the holomorphic dependence of the resolvent for elliptic operators on ...
Maral Konyrkulzhayeva, Gauhar Auzerkhan
doaj   +1 more source