Results 101 to 110 of about 5,252,215 (279)

Mixed-Type Functional Differential Equations: A $C_{0}$-Semigroup Approach

open access: yesCommunications in Advanced Mathematical Sciences, 2018
In this paper we study certain systems of mixed-type functional differential equations, from the point of view of the $C_{0}$-semigroup theory. In general, this type of equations are not well-posed as initial value problems.
Luis Gerardo Mármol   +1 more
doaj   +1 more source

Spatial and single‐nuclei transcriptomics reveals idiosyncratic and generic patterns in papillary and anaplastic thyroid cancers

open access: yesMolecular Oncology, EarlyView.
Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur   +11 more
wiley   +1 more source

Razumikhin-type theorem on time-changed stochastic functional differential equations with Markovian switching

open access: yesOpen Mathematics, 2019
This work is mainly concerned with the exponential stability of time-changed stochastic functional differential equations with Markovian switching. By expanding the time-changed Itô formula and the Razumikhin theorem, we obtain the exponential stability ...
Zhang Xiaozhi, Yuan Chenggui
doaj   +1 more source

Multiple solutions of nonlinear partial functional differential equations and systems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2019
We shall consider weak solutions of initial-boundary value problems for semilinear and nonlinear parabolic differential equations with certain nonlocal terms, further, systems of elliptic functional differential equations.
László Simon
doaj   +1 more source

Circulating microRNA signatures of cachexia and cancer in Canis familiaris as a comparative oncology model for human disease

open access: yesMolecular Oncology, EarlyView.
Circulating microRNAs as biomarkers of cachexia and sex‐specific cancer in senior dogs. In 25 client‐owned dogs, four circulating miRNAs (miR‐15a, miR‐15b, miR‐16, miR‐140) were downregulated in cachexia, with miR‐16 the strongest individual biomarker (AUC = 0.899).
Soon‐Seok Park   +6 more
wiley   +1 more source

On the convergence of solutions of nonautonomous functional differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2012
In this paper we study the asymptotic behaviour of solutions of delay differential equations when the right hand side of equation can be estimated by the maximum function using a new method based on the Liapunov-Razumikhin principle, differential ...
J. Terjéki, M. Bartha
doaj   +1 more source

Preoperative circulating tumor cells integrated with imaging analysis for prognostic evaluation in head and neck squamous cell carcinoma

open access: yesMolecular Oncology, EarlyView.
Detecting circulating tumor cells (CTCs) in blood before surgery may help predict outcomes in patients with head and neck squamous cell carcinoma (HNSCC). Here, we show when combined with tumor size and lymph node involvement from routine imaging, CTC status identifies high‐risk patients with poorer survival—offering a simple, minimally invasive tool ...
Susanne Flach   +9 more
wiley   +1 more source

Existence of positive periodic solutions for a class of first-order functional differential equations

open access: yes四川大学学报. 自然科学版, 2019
In this paper, we use global bifurcation theorem to consider the existence of positive periodic solutions of a class of first-order functional differential equations We construct the global structure of the set of positive periodic solutions of the first-
ZHU Yan
doaj  

Differential functional von Foerster equations with renewal

open access: yesCondensed Matter Physics, 2008
Natural iterative methods converge to the exact solution of a differential-functional von Foerster-type equation which describes a single population dependent on its past time and state densities as well as on its total size.
H.Leszczyński
doaj   +1 more source

Distributional and entire solutions of ordinary differential and functional differential equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1983
A brief survey of recent results on distributional and entire solutions of ordinary differential equations (ODE) and functional differential equations (FDE) is given. Emphasis is made on linear equations with polynomial coefficients.
S. M. Shah, Joseph Wiener
doaj   +1 more source

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