Results 81 to 90 of about 328,940 (311)
Dissipative Ordinary Differential Operators of Even Order [PDF]
Transactions of the American Mathematical Society, 1967 The aim of this paper is to study the Cauchy problem for the system (1.1). We shall make the following three assumptions: (1.2) B=B*, C=-C*, D=-D*,..., T=-T*; (1.3) Z-=Bx+A+A* 1 in L2(a, b; F) defined by 1 =a( (Fy, y) dx and a norm IYi= [KY, Y>i]112, L2(a, b; F) becomes a Hilbert space which we shall sometimes denote by H1.
openaire +2 more sources
RIPK4 function interferes with melanoma cell adhesion and metastasis
Molecular Oncology, EarlyView.RIPK4 promotes melanoma growth and spread. RIPK4 levels increase as skin lesions progress to melanoma. CRISPR/Cas9‐mediated deletion of RIPK4 causes melanoma cells to form less compact spheroids, reduces their migratory and invasive abilities and limits tumour growth and dissemination in mouse models.
Norbert Wronski +9 more
wiley +1 more source
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
doaj
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
wiley +1 more source
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
doaj
New Generalized Verma Modules and Multilinear Intertwining Differential Operators
, 1998 The present paper contains two interrelated developments. First, are proposed new generalized Verma modules. They are called k-Verma modules, k\in N, and coincide with the usual Verma modules for k=1.
Bailey +38 more
core +3 more sources
FEBS Open Bio, EarlyView.RoboMic is an automated confocal microscopy pipeline for high‐throughput functional imaging in living cells. Demonstrated with fluorescence recovery after photobleaching (FRAP), it integrates AI‐driven nuclear segmentation, ROI selection, bleaching, and analysis.
Selçuk Yavuz +6 more
wiley +1 more source
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
doaj +1 more source
Gauss hypergeometric function and quadratic $R$-matrix algebras
, 1993 We consider representations of quadratic $R$-matrix algebras by means of certain first order ordinary differential operators. These operators turn out to act as parameter shifting operators on the Gauss hypergeometric function and its limit cases and on ...
Koornwinder, Tom H., Kuznetsov, Vadim B.
core +3 more sources
On the Approximation of Isolated Eigenvalues of Ordinary Differential Operators
, 2007 We extend a result of Stolz and Weidmann on the approximation of isolated eigenvalues of singular Sturm-Liouville and Dirac operators by the eigenvalues of regular operators.Comment: 4 ...
Communicated Joseph A. Ball +1 more
core +2 more sources