Results 31 to 40 of about 121,814 (218)
Oscillation for Certain Third Order Functional Delay Difference Equation
This paper is concerned with the third order functional delay difference equation of the form Δ(CnΔ(anΔxn)) + mΣi=1pniΔxσi(n-r) + mΣi=1qnif (xσi(n-r)) = 0. We obtain some new oscillation criteria by using Riccati transformation technique. Examples are given to illustrate the results.
Jaffer, I. Mohammed Ali +1 more
openaire +2 more sources
The KdV equation, which appears as an asymptotic model in physical systems ranging from water waves to plasma physics, has been studied. In this paper, we are concerned with dispersive nonlinear KdV equations by using two reliable methods: Shehu Adomian ...
A. Appadu, A. Kelil
semanticscholar +1 more source
Disconjugacy for a third order linear difference equation
The third order linear difference equation (1) \(\Delta^ 3 y(t-1) + p(t) \Delta y(t) + q(t)y(t) = 0\) \((t \in \{a + 1, \dots, b + 1\})\) is considered. A function \(y : \{a, \dots, b + 3\} \to \mathbb{R}\) is said to have a generalized zero at \(a\) if \(y(a) = 0\) and it is said to have a generalized zero at \(t_ 0 > a\) provided either \(y(t_ 0) = 0\
Henderson, J., Peterson, A.
openaire +1 more source
Cells must clear mislocalized or faulty proteins from membranes to survive. The AAA+ ATPase Msp1 performs this task, but dissecting how its six subunits work together is challenging. We engineered linked dimers with varied numbers of functional subunits to reveal how Msp1 subunits cooperate and use energy to extract proteins from the lipid bilayer ...
Deepika Gaur +5 more
wiley +1 more source
A high-order 3D immersed interface finite difference method for the advection-diffusion equation
We present a finite-difference based immersed interface method for the high-order discretization of 3D advection-diffusion problems on regular Cartesian grids.
James Gabbard, Wim M. van Rees
semanticscholar +1 more source
ASYMPTOTIC DYNAMICS OF A CLASS OF THIRD ORDER RATIONAL DIFFERENCE EQUATIONS
The asymptotic dynamics of the classes of rational difference equations (RDEs) of third order defined over the positive real-line as $$\displaystyle{x_{n+1}=\frac{x_{n}}{ax_n+bx_{n-1}+cx_{n-2}}}, \displaystyle{x_{n+1}=\frac{x_{n-1}}{ax_n+bx_{n-1}+cx_{n-2}}}, \displaystyle{x_{n+1}=\frac{x_{n-2}}{ax_n+bx_{n-1}+cx_{n-2}}}$$ and $$\displaystyle{x_{n+1 ...
Hassan, Sk Sarif +3 more
openaire +3 more sources
Oscillation theorems for third order nonlinear delay difference equations [PDF]
Sufficient conditions for the third-order nonlinear delay difference equation of the form \[\Delta\left( a_{n}(\Delta(b_{n}(\Delta y_{n})^{\alpha}))\right)+q_{n}f(y_{\sigma(n)})=0,\] to have property (A) or to be oscillatory are established. Two examples illustrating the results are given.
Vidhyaa K.S. +3 more
openaire +3 more sources
The role and implications of mammalian cellular circadian entrainment
At their most fundamental level, mammalian circadian rhythms occur inside every individual cell. To tell the correct time, cells must align (or ‘entrain’) their circadian rhythm to the external environment. In this review, we highlight how cells entrain to the major circadian cues of light, feeding and temperature, and the implications this has for our
Priya Crosby
wiley +1 more source
On the oscillation of certain third-order difference equations
We establish some new criteria for the oscillation of third-order difference equations of the form Delta((1/a(2)(n))(Delta(1/a(1)(n))(Delta x(n))(alpha 1))(alpha 2)) + delta q(n)f(x[g(n)]) = 0, where Delta is the forward difference operator defined by Delta x(n) = x(n+1)-x(n).
Agarwal, Ravi P +2 more
openaire +3 more sources
AZD9291 has shown promise in targeted cancer therapy but is limited by resistance. In this study, we employed metabolic labeling and LC–MS/MS to profile time‐resolved nascent protein perturbations, allowing dynamic tracking of drug‐responsive proteins. We demonstrated that increased NNMT expression is associated with drug resistance, highlighting NNMT ...
Zhanwu Hou +5 more
wiley +1 more source

