Results 51 to 60 of about 644,438 (285)
Existence of mild solutions for nonlocal Cauchy problem for fractional neutral evolution equations with infinite delay [PDF]
Surveys in Mathematics and its Applications, 2014 In this article, we study the existence of mild solutions for nonlocal Cauchy problem for fractional neutral evolution equations with infinite delay. The results are obtained by using the Banach contraction principle.
V. Vijayakumar +2 more
doaj
Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction Pulmonary dysfunction and sleep abnormalities are common in children with sickle cell disease (SCD) and are associated with worse clinical outcomes. Whether spirometry abnormalities are associated with polysomnography (PSG) findings remains unclear.
Ammar Saadoon Alishlash +4 more
wiley +1 more source
Existence of Mild Solutions to Delay Diffusion Equations with Hilfer Fractional Derivative
Fractal and FractionalBecause of the prevalent time-delay characteristics in real-world phenomena, this paper investigates the existence of mild solutions for diffusion equations with time delays and the Hilfer fractional derivative.
Yuhang Jin +3 more
doaj +1 more source
Bounded Solutions of the Boltzmann Equation in the Whole Space
, 2010 We construct bounded classical solutions of the Boltzmann equation in the whole space without specifying any limit behaviors at the spatial infinity and without assuming the smallness condition on initial data. More precisely, we show that if the initial
Alexandre, Radjesvarane +4 more
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Introduction Pre‐dilution online hemodiafiltration (Pre‐HDF) is predominantly used in Japan, whereas post‐dilution online HDF (Post‐HDF) is more common in Europe. An asymmetric cellulose triacetate (ATA) membrane may improve biocompatibility.
Kenji Sakurai +4 more
wiley +1 more source
Existence of Mild Solutions for Fractional Integrodifferential Equations with Hilfer Derivatives
MathematicsIn this paper, we study the existence of solutions for fractional integrodifferential equations with Hilfer derivatives. We establish some new existence theorems for mild solutions by using Schaefer’s fixed-point theorem, a measure of noncompactness, and
Mian Zhou, Yong Zhou
doaj +1 more source
Estimates for mild solutions to semilinear Cauchy problems [PDF]
Electronic Journal of Differential Equations, 2014 The existence (and uniqueness) results on mild solutions of the abstract semilinear Cauchy problems in Banach spaces are well known. Following the results of Tartar (2008) and Burazin (2008) in the case of decoupled hyperbolic systems, we give an alternative proof, which enables us to derive an estimate on the mild solution and its time of existence ...
Burazin K., Erceg M.
openaire +5 more sources
Revealing the structure of land plant photosystem II: the journey from negative‐stain EM to cryo‐EM
FEBS Letters, EarlyView.Advances in cryo‐EM have revealed the detailed structure of Photosystem II, a key protein complex driving photosynthesis. This review traces the journey from early low‐resolution images to high‐resolution models, highlighting how these discoveries deepen our understanding of light harvesting and energy conversion in plants.
Roman Kouřil
wiley +1 more source
Boundary regularity of stochastic PDEs
, 2018 The boundary behaviour of solutions of stochastic PDEs with Dirichlet boundary conditions can be surprisingly - and in a sense, arbitrarily - bad: as shown by Krylov, for any $\alpha>0$ one can find a simple $1$-dimensional constant coefficient linear ...
Gerencsér, Máté
core +1 more source
Sequence determinants of RNA G‐quadruplex unfolding by Arg‐rich regions
FEBS Letters, EarlyView.We show that Arg‐rich peptides selectively unfold RNA G‐quadruplexes, but not RNA stem‐loops or DNA/RNA duplexes. This length‐dependent activity is inhibited by acidic residues and is conserved among SR and SR‐related proteins (SRSF1, SRSF3, SRSF9, U1‐70K, and U2AF1).
Naiduwadura Ivon Upekala De Silva +10 more
wiley +1 more source