Results 51 to 60 of about 4,356 (261)
Characterization of domains of symmetric and self-adjoint ordinary differential operators
Electronic Journal of Differential Equations, 2018 We characterize the two point boundary conditions which determine symmetric ordinary differential operators of any order, even or odd, with complex coefficients and arbitrary deficiency index, in a Hilbert space.The self-adjoint characterizations ...
Aiping Wang, Anton Zettl
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Cauchy Problem for a Linear System of Ordinary Differential Equations of the Fractional Order
Mathematics, 2020 We investigate the initial problem for a linear system of ordinary differential equations with constant coefficients and with the Dzhrbashyan–Nersesyan fractional differentiation operator.
Murat Mamchuev
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A note on generalized resolvents for ordinary differential operators [PDF]
Proceedings of the American Mathematical Society, 1976 We give an explicit construction for the kernel of an arbitrary generalized resolvent for an ordinary symmetric differential operator. In particular, this avoids the use of approximation of selfadjoint operators on compact intervals. We also discuss integrability of functions which are adjoint to certain fundamental solutions.
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Peripheral lysosomes recruit PLEKHG3 to focal adhesions and restrain protrusion dynamics
FEBS Letters, EarlyView.Proximity‐dependent labeling at the LAMTOR complex revealed the Rho GEF PLEKHG3 as a lysosome‐proximal protein directing the study toward the influence of lysosome positioning on actin dynamics and cell motility. We show that PLEKHG3 colocalizes with lysosomes at focal adhesion sites and observe that forced peripheral dispersion of lysosomes hinders ...
Rainer Ettelt +8 more
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Electronic Journal of Differential Equations, 2012 A Picone-type inequality for quasilinear elliptic operators with mixed nonlinearities and with p(x)-Laplacian is established, and Sturmian comparison theorems are derived on the basis of the Picone-type inequality.
Norio Yoshida
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Normal Forms for Ordinary Differential Operators. III
Proceedings of the Steklov Institute of Mathematics40 p; V2: minor changes, to appear in Proc. Steklov Inst. Math. This is part 3 of a split version.
Guo, J., Zheglov, A. B.
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Molecular Oncology, EarlyView.This study shows that lung adenocarcinomas exploit developmental branching morphogenesis to acquire a therapy resistant basal‐like tumour cell state. This process was found to be regulated by combined TP53 loss‐of‐function and type‐I interferon signalling, identifying a novel axis for biomarker and therapeutic target discovery.
Kamila J Bienkowska +13 more
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Loss of IGF‐1R impairs DNA‐PKcs recruitment to chromatin leading to defective end‐joining
Molecular Oncology, EarlyView.IGF‐1R promotes radioresistance by facilitating DNA‐PKcs recruitment to chromatin, enabling non‐homologous end‐joining (NHEJ) repair of double‐strand breaks. Inhibition or loss of IGF‐1R disrupts this recruitment to damage sites, driving compensatory reliance on microhomology‐mediated end‐joining (MMEJ) repair.
Matthew O. Ellis +3 more
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Molecular Oncology, EarlyView.Pair‐wise comparison of the CellSearch and FETCH enrichment technologies for circulating tumor cells (CTCs) from metastatic breast, prostate, and small cell lung cancer patients shows an increased capture of CTCs using FETCH enrichment. The clinical implementation of circulating tumor cells (CTCs) as a predictive tool for therapy efficacy in the ...
Michiel Stevens +6 more
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Some results on essential spectra of differential operators in Banach spaces
Mathematical Modelling and Analysis, 2003 In this paper we investigate spectral and semi‐Predholm properties of maximum and minimum Puchsian differential operators on Lebesgue spaces on a semi‐axis. These results are applied for determination of various essential spectra and spectrum of ordinary
V. A. Erovenko
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