Results 41 to 50 of about 1,965,065 (298)
On the Oscillations of Mixed Neutral Equations
Journal of Mathematical Analysis and Applications, 1995 The author considers neutral differential equations of odd order of the form \[ (x(t)+ cx(t- h)+ c^* x(t+ h^*))^{(n)}= qx(t- g)+ px(t+ g^*),\tag{1} \] where \(c\), \(c^*\), \(g\), \(g^*\), \(h\), \(h^*\), \(p\) and \(q\) are real constants. It is well-known that a necessary and sufficient condition for oscillation of all solutions of (1) is that the ...
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Nonoscillation of a class of neutral differential equations
Computers & Mathematics with Applications, 2002 This paper deals with \(n\)th-order neutral differential equations of the form \[ (x(t)-x(t-\tau))^{(n)}+p(t)x(t-\sigma)=0, \] where \(n\) is an odd number, \(\tau>0, \sigma\in \mathbb{R}\), \(p\in C([0, \infty), [0, \infty))\). The authors establish a complete classification of nonoscillatory solutions of the equation and find conditions for each type
Kong, Qingkai +2 more
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Regularity for Semilinear Neutral Hyperbolic Equations with Cosine Families
, 2020 The purpose of this paper is to obtain the regularity for solutions of semilinear neutral hyperbolic equations with the nonlinear convolution. The principal operator is the infinitesimal generator of a cosine and sine families.
Jin-Mun Jeong, Seong-Ho Cho
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Pediatric Blood &Cancer, EarlyView.ABSTRACT The medical burdens of sickle cell disease (SCD) and transfusion‐dependent β‐thalassemia (TDT) are chronic and cumulative, even in children. Yet the effects expand beyond medications and healthcare visits due to their impacts on school attendance, academic performance, and peer engagement.
Mary Ann Etling +2 more
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FEBS Letters, EarlyView.We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
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FEBS Letters, EarlyView.This review focuses on the role of autophagy and mitophagy in maintaining pancreatic β‐cell function and homeostasis. We discuss how genetic defects affecting these pathways contribute to the development of type 1, type 2, monogenic, and gestational diabetes. We further explore their potential as therapeutic targets. Created in BioRender.
Yunkyeong Lee +2 more
wiley +1 more source
Symmetries of the Schrödinger–Pauli equation for neutral particles [PDF]
Journal of Mathematical Physics, 2021 By using the algebraic approach, the Lie symmetries of Schrödinger equations with matrix potentials are classified. Thirty three inequivalent equations of such type together with the related symmetry groups are specified, and the admissible equivalence relations are clearly indicated.
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Existence of solutions for abstract neutral integro-differential equations with unbounded delay [PDF]
, 2011 summary:In this paper we study the existence of classical solutions for a class of abstract neutral integro-differential equation with unbounded delay.
Hernández, Eduardo M. +4 more
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FEBS Letters, EarlyView.How do genomes gain new functional parts? In eukaryotes, which tend to evolve under weak selection, much of the genome is junk. Palazzo and Qiu borrow the logic of Markov chains to show how non‐functional DNA becomes functional through the appearance of intermediate states, which arise due to epistasis, buffering, and biochemical messiness, allowing ...
Alexander F. Palazzo, Yi Qiu
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Oscillation criteria for second-order nonlinear delay dynamic equations of neutral type
Advances in Difference Equations, 2018 We investigate oscillatory behavior of solutions to a class of second-order nonlinear neutral delay dynamic equations with nonpositive neutral coefficients. In particular, we study the corresponding noncanonical neutral differential equations.
Ming Zhang +5 more
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