Results 71 to 80 of about 138,809 (284)

Picone-type inequality and Sturmian comparison theorems for quasilinear elliptic operators with p(x)-Laplacians

open access: yesElectronic 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  

Cauchy Problem for a Linear System of Ordinary Differential Equations of the Fractional Order

open access: yesMathematics, 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

Raising and Lowering operators of spin-weighted spheroidal harmonics

open access: yes, 2016
In this paper we generalize the spin-raising and lowering operators of spin-weighted spherical harmonics to linear-in-$\gamma$ spin-weighted spheroidal harmonics where $\gamma$ is an additional parameter present in the second order ordinary differential ...
Shah, Abhay G., Whiting, Bernard F.
core   +2 more sources

Targeted modulation of IGFL2‐AS1 reveals its translational potential in cervical adenocarcinoma

open access: yesMolecular Oncology, EarlyView.
Cervical adenocarcinoma patients face worse outcomes than squamous cell carcinoma counterparts despite similar treatment. The identification of IGFL2‐AS1's differential expression provides a molecular basis for distinguishing these histotypes, paving the way for personalized therapies and improved survival in vulnerable populations globally.
Ricardo Cesar Cintra   +6 more
wiley   +1 more source

Gauss hypergeometric function and quadratic $R$-matrix algebras

open access: yes, 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

Perturbation of ordinary differential operators

open access: yesJournal of Mathematical Analysis and Applications, 1966
AbstractA perturbation theorem is proved which enables us to extend the results of J. Schwartz and others, to the effect that a wide class of boundary value problems for ordinary differential operators with operator valued coefficients generate unbounded spectral operators in the L2 space over a finite interval.
openaire   +2 more sources

Network divergence analysis identifies adaptive gene modules and two orthogonal vulnerability axes in pancreatic cancer

open access: yesMolecular Oncology, EarlyView.
Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson   +9 more
wiley   +1 more source

Fredholm linear operators associated with ordinary differential equations on noncompact intervals

open access: yesElectronic Journal of Differential Equations, 1999
In the noncompact interval $J=[a,infty )$ we consider a linear problem of the form $Lx=y,; x in S$, where $L$ is a first order differential operator, $y$ a locally summable function in $J$, and $S$ a subspace of the Fr'{e}chet space of the locally ...
Mariella Cecchi   +3 more
doaj  

Some results on essential spectra of differential operators in Banach spaces

open access: yesMathematical 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
doaj   +1 more source

On the complexity of solving ordinary differential equations in terms of Puiseux series

open access: yes, 2007
We prove that the binary complexity of solving ordinary polynomial differential equations in terms of Puiseux series is single exponential in the number of terms in the series.
Ayad, Ali
core   +2 more sources

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