Results 61 to 70 of about 1,036,048 (312)
Conformable Fractional Cosine Families of Operators
Journal of Mathematical Sciences and Modelling, 2019 In this paper we are concerned with the problem \begin{eqnarray*}\begin{cases} u^{(\alpha)}(t)=Au(t)+f(t,u(t))& t\in [0,T]\\ u(0)=u_0, D^{\alpha}u(0)=u_1\end{cases}\end{eqnarray*} \begin{eqnarray*} \begin{cases} u^{(\alpha)}(t)=Au(t)+f(t,u(t)
L. S. Chadli +2 more
doaj +1 more source
Random field solutions to linear SPDEs driven by symmetric pure jump L\'evy space-time white noises
, 2018 We study the notions of mild solution and generalized solution to a linear stochastic partial differential equation driven by a pure jump symmetric L\'evy white noise. We identify conditions for existence for these two kinds of solutions, and we identify
Dalang, Robert C., Humeau, Thomas
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Molecular Oncology, EarlyView.Chronic TGF‐β exposure drives epithelial HCC cells from a senescent state to a TGF‐β resistant mesenchymal phenotype. This transition is characterized by the loss of Smad3‐mediated signaling, escape from senescence, enhanced invasiveness and metastatic potential, and upregulation of key resistance modulators such as MARK1 and GRM8, ultimately promoting
Minenur Kalyoncu +11 more
wiley +1 more source
Mild solutions for the one-dimensional Nordström–Vlasov system [PDF]
Nonlinearity, 2007 The Nordstrom-Vlasov system describes the evolution of a population of self-gravitating collisionless particles. We study the existence and uniqueness of mild solution for the Cauchy problem in one dimension. This approach does not require any derivative for the initial particle density.
openaire +3 more sources
Mild Solution of Semilinear SPDEs with Young Drifts
, 2023 17 ...
Liang, Jiahao, Tang, Shanjian
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Molecular Oncology, EarlyView.B‐cell chronic lymphocytic leukemia (B‐CLL) and monoclonal B‐cell lymphocytosis (MBL) show altered proteomes and phosphoproteomes, analyzed using mass spectrometry, protein microarrays, and western blotting. Identifying 2970 proteins and 316 phosphoproteins, including 55 novel phosphopeptides, we reveal BCR and NF‐kβ/STAT3 signaling in disease ...
Paula Díez +17 more
wiley +1 more source
On a second-order evolution inclusion [PDF]
Results in Nonlinear Analysis, 2018 We study a class of second-order evolution inclusions and we obtain a sufficient condition for f-local controllability along a reference trajectory.
Aurelian Cernea
doaj
Heat equation with a general stochastic measure on nested fractals
, 2012 A stochastic heat equation on an unbounded nested fractal driven by a general stochastic measure is investigated. Existence, uniqueness and continuity of the mild solution are proved provided that the spectral dimension of the fractal is less than 4/3 ...
Radchenko, Vadym, Zähle, Martina
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Determination of ADP/ATP translocase isoform ratios in malignancy and cellular senescence
Molecular Oncology, EarlyView.The individual functions of three isoforms exchanging ADP and ATP (ADP/ATP translocases; ANTs) on the mitochondrial membrane remain unclear. We developed a method for quantitatively differentiating highly similar human ANT1, ANT2, and ANT3 using parallel reaction monitoring. This method allowed us to assess changes in translocase levels during cellular
Zuzana Liblova +18 more
wiley +1 more source
, 2015 Consider the stochastic evolution equation in a separable Hilbert space with a nice multiplicative noise and a locally Dini continuous drift. We prove that for any initial data the equation has a unique (possibly explosive) mild solution.
Wang, Feng-Yu
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