Results 41 to 50 of about 13,776,135 (277)
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 The inverse problem of finding the initial distribution has been studied on the basis of formulas for the solution of the first initial-boundary value problem for the inhomogeneous two-dimentional heat equation. The uniqueness of the solution of the direct
Artur R Zaynullov
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Spatial biology in cancer epigenetics
Molecular Oncology, EarlyView.Spatial epigenomics combines molecular profiling with tissue architecture to reveal how gene regulation is organized within intact tissues. In cancer, these technologies uncover the mechanisms driving tumor heterogeneity and microenvironmental interactions, opening new opportunities for biomarker discovery and precision medicine.
Eva Crespo‐García, Manel Esteller
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Smoothness of solutions of conjugate boundary-value problems on a measure chain
Electronic Journal of Differential Equations, 2000 In this paper we consider the n-th order $Delta$-differential equation (often refered to as a differential equation on a measure chain) $$u^{Delta_n}(t) = f(t, u(sigma(t)),dots, u^{Delta_{n-1}}(sigma(t)))$$ satisfying n-point conjugate boundary ...
Eric R. Kaufmann
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Baltic sea deep salinity: an initial and boundary value problem
Frontiers in Earth ScienceThe Baltic Sea salinity is modelled using a two-box model. The simplistic approach allows for very long integrations where a large part of the phase space of the model can be probed. Particular emphasis is put on the salinity dynamics in the deeper parts
Magnus Hieronymus
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On an initial-boundary value problem for the nonlinear Schrödinger equation
International Journal of Mathematics and Mathematical Sciences, 1979 We study an initial-boundary value problem for the nonlinear Schrödinger equation, a simple mathematical model for the interaction between electromagnetic waves and a plasma layer.
Herbert Gajewski
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Advances in Difference Equations, 2018 In this paper, we give the definitions of q,ω $q,\omega $-exponential function and q,ω $q,\omega $-gamma function. New concepts of fractional Hahn’s q,ω $q,\omega $-derivative of Riemann–Liouville type and Caputo type are introduced, meanwhile we discuss
Yizhu Wang, Yiding Liu, Chengmin Hou
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Single‐molecule DNA flow‐stretch assays for high‐throughput DNA–protein interaction studies
FEBS Open Bio, EarlyView.We describe an optimised single‐molecule DNA flow‐stretch assay that visualises DNA–protein interactions in real time. Linear DNA fragments are tethered to a surface and stretched by buffer flow for fluorescence imaging. Using λ and φX174 DNA, this protocol enhances reproducibility and accessibility, providing a versatile approach for studying diverse ...
Ayush Kumar Ganguli +8 more
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Stability of initial-boundary value problem for quasilinear viscoelastic equations
Electronic Journal of Differential Equations, 2020 We investigate the stability of the initial-boundary value problem for the quasilinear viscoelastic equation $$\displaylines{ |u_t|^{\rho}u_{tt}-\Delta u_{tt}-\Delta u+\int_0^tg(t-s)\Delta u(s)ds=0, \quad \text{in }\Omega\times(0,+\infty),\cr u=0 ...
Kun-Peng Jin, Jin Liang, Ti-Jun Xiao
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FEBS Open Bio, EarlyView.This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
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Dissipative initial boundary value problem for the BBM-equation
Electronic Journal of Differential Equations, 2008 This paper concerns a dissipative initial boundary value problem for the Benjamin-Bona-Mahony (BBM) equation. We prove the existence and uniqueness of global solutions and the decay of the energy as time tends to infinity.
Mikhail P. Vishnevskii +1 more
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