Results 41 to 50 of about 616,883 (325)
On Correctness of Cauchy problem for a Polynomial Difference Operator with Constant Coefficients
Известия Иркутского государственного университета: Серия "Математика", 2018 The theory of linear difference equations is applied in various areas of ma\-the\-matics and in the one-dimensional case is quite established. For $n>1$, the situation is much more difficult and even for the constant coefficients a general description of
M. S. Apanovich, E.K. Leinartas
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Uniqueness of $q$-shift difference polynomials of meromorphic functions sharing a small function [PDF]
Mathematica Bohemica, 2020 We investigate the uniqueness of a $q$-shift difference polynomial of meromorphic functions sharing a small function which extend the results of N. V. Thin (2017) to $q$-difference operators.
Renukadevi S. Dyavanal +1 more
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Automorphisms of algebras and Bochner`s property for discrete vector orthogonal polynomials [PDF]
, 2016 We construct new families of discrete vector orthogonal polynomials that have the property to be eigenfunctions of some difference operator. They are extensions of Charlier, Meixner and Kravchuk polynomial systems.
Horozov, Emil
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A polynomial conjecture connected with rogue waves in the KdV equation
Partial Differential Equations in Applied Mathematics, 2021 A polynomial conjecture, associated with rational solutions including rogue wave solutions of the KdV equation, is presented. The conjecture can be used to show that for the bilinear KdV equation, an arbitrary linear combination of two Wronskian ...
Wen-Xiu Ma
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On polynomial solutions of differential equations
, 1992 A general method of obtaining linear differential equations having polynomial solutions is proposed. The method is based on an equivalence of the spectral problem for an element of the universal enveloping algebra of some Lie algebra in the ...
Turbiner, A.
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A SURJECTIVITY PROBLEM FOR MATRICES AND NULL CONTROLLABILITY FOR DIFFERENCE AND DIFFERENTIAL MATRIX EQUATIONS [PDF]
Surveys in Mathematics and its Applications, 2020 Let P be a complex polynomial. We prove that the associated polynomial matrix-valued function \tildeP is surjective if for each λ ∈ ℂ the polynomial P-λ has at least a simple zero. The null controllability for difference and differential matrix equations
Donal O'Regan, Constantin Buşe
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Molecular Oncology, EarlyView.HDAC4 is degraded by the E3 ligase FBXW7. In colorectal cancer, FBXW7 mutations prevent HDAC4 degradation, leading to oxaliplatin resistance. Forced degradation of HDAC4 using a PROTAC compound restores drug sensitivity by resetting the super‐enhancer landscape, reprogramming the epigenetic state of FBXW7‐mutated cells to resemble oxaliplatin ...
Vanessa Tolotto +13 more
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Polynomial quasisolutions of linear differential-difference equations [PDF]
Opuscula Mathematica, 2006 The paper discusses a linear differential-difference equation of neutral type with linear coefficients, when at the initial time moment \(t=0\) the value of the desired function \(x(t)\) is known. The authors are not familiar with any results which would
Valery B. Cherepennikov +1 more
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Thrombolytic proteins profiling: High‐throughput activity, selectivity, and resistance assays
FEBS Open Bio, EarlyView.We present optimized biochemical protocols for evaluating thrombolytic proteins, enabling rapid and robust screening of enzymatic activity, inhibition resistance, and fibrin affinity, stimulation, and selectivity. The outcome translates to key clinical indicators such as biological half‐life and bleeding risk. These assays streamline the development of
Martin Toul +3 more
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On Computation of Groebner Bases for Linear Difference Systems
, 2005 In this paper we present an algorithm for computing Groebner bases of linear ideals in a difference polynomial ring over a ground difference field. The input difference polynomials generating the ideal are also assumed to be linear.
Bigatti +7 more
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