Results 101 to 110 of about 2,558,527 (394)
Boundary value and expansion problems of ordinary linear differential equations [PDF]
, 1908 George D. Birkhoff
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Arithmetic differential equations on $GL_n$, I: differential cocycles [PDF]
arXiv, 2013 The theory of differential equations has an arithmetic analogue in which derivatives are replaced by Fermat quotients. One can then ask what is the arithmetic analogue of a linear differential equation. The study of usual linear differential equations is the same as the study of the differential cocycle from $GL_n$ into its Lie algebra given by the ...
arxiv
Molecular Oncology, EarlyView.We quantified and cultured circulating tumor cells (CTCs) of 62 patients with various cancer types and generated CTC‐derived tumoroid models from two salivary gland cancer patients. Cellular liquid biopsy‐derived information enabled molecular genetic assessment of systemic disease heterogeneity and functional testing for therapy selection in both ...
Nataša Stojanović Gužvić +31 more
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Partial differential equations associated to non linear backward stochastic differential equations with Gaussian Volterra processes [PDF]
arXiv, 2020 In this paper, we generalize to Gaussian Volterra processes the existence and uniqueness of solutions for a class of non linear backward stochastic differential equations (BSDE) and we establish the relation between the non linear BSDE and the partial differential equation (PDE).
arxiv
Molecular Oncology, EarlyView.Adaptive ERK reactivation hinders FLT3 tyrosine kinase inhibitor (TKI) treatment in FLT3/ITD acute myeloid leukemia. Here, we report that FLT3 TKI treatment rapidly induces AXL expression and upregulation that is temporally associated with the adaptive ERK reactivation.
Tessa S. Seale +9 more
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Local estimates for modified Riccati equation in theory of half-linear differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper we study the half-linear differential equation \begin{equation*} \bigl(r(t)\Phi_p(x')\bigr)'+c(t)\Phi_p(x)=0, \end{equation*} where $\Phi_p(x)=|x|^{p-2}x$, $p>1$. Using modified Riccati technique and suitable local estimates for terms
Simona Fišnarová, Robert Marik
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Identities involving Bessel polynomials arising from linear differential equations [PDF]
arXiv, 2016 In this paper, we study linear differential equations arising from Bessel polynomials and their applications. From these linear differential equations, we give some new and explicit identities for Bessel polynomials.
arxiv
On a representation of linear differential equations
Mathematical and Computer Modelling, 2010 Here we present a certain representation of linear differential equations that enables us to describe global transformations, a construction of global canonical forms, distribution of zeros of solutions and other global properties of solutions of the equations studied.
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Molecular Oncology, EarlyView.The authors applied joint/mixed models that predict mortality of trifluridine/tipiracil‐treated metastatic colorectal cancer patients based on circulating tumor DNA (ctDNA) trajectories. Patients at high risk of death could be spared aggressive therapy with the prospect of a higher quality of life in their remaining lifetime, whereas patients with a ...
Matthias Unseld +7 more
wiley +1 more source
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 The methods for parametric identification of fractional differential operators with $\alpha \on (1, 2)$ degree according to instantaneous values of experimental observations based on the Barrett differential equation example are suggested. The methods are
Anna S Ovsienko
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