Results 31 to 40 of about 216,704 (259)

Equivalent resistance of irregular 3 × n Hammock resistor network

Nantong Daxue xuebao. Ziran kexue ban, 2022
The equivalent resistance of a kind of irregular 3 × n Hammock resistor network is studied by the RT-I theory, in which the third order matrix equation and the third order boundary condition equation are established by Kirchhoff′s law and the branch ...
TAN Zhizhong
doaj   +1 more source

Representation of solutions of a solvable nonlinear difference equation of second order

Electronic Journal of Qualitative Theory of Differential Equations, 2018
We present a representation of well-defined solutions to the following nonlinear second-order difference equation $$x_{n+1}=a+\frac{b}{x_n}+\frac{c}{x_nx_{n-1}},\quad n\in\mathbb{N}_0,$$ where parameters $a, b, c$, and initial values $x_{-1}$ and $x_0 ...
Stevo Stevic, Bratislav Iricanin, Witold Kosmala, Zdenek Smarda   +3 more
doaj   +1 more source

Positive solutions of a discrete nonlinear third-order three-point eigenvalue problem with sign-changing Green's function

Open Mathematics, 2021
In this paper, we discuss the existence of positive solutions to a discrete third-order three-point boundary value problem. Here, the weight function a(t)a\left(t) and the Green function G(t,s)G\left(t,s) both change their sign.
Cao Xueqin, Gao Chenghua, Duan Duihua
doaj   +1 more source

OSCILLATORY PROPERTIES OF THIRD ORDER NEUTRAL DELAY DIFFERENCE EQUATIONS

Demonstratio Mathematica, 2002
This paper is devoted to the oscillatory properties of a third order neutral difference equation of the form \[ \Delta \left( c_n\Delta \left( d_n\Delta \left( y_n+p_ny_{n-k}\right) \right) \right) +q_nf\left( y_{n-m}\right) =e_n. \] Some sufficient conditions are obtained for oscillation of the solutions of the above equation.
Thandapani, E., Mahalingam, K.
openaire   +2 more sources

Existence of positive solutions of discrete third-order three-point BVP with sign-changing Green's function

Open Mathematics, 2022
In this article, we consider a discrete nonlinear third-order boundary value problem Δ3u(k−1)=λa(k)f(k,u(k)),k∈[1,N−2]Z,Δ2u(η)=αΔu(N−1),Δu(0)=−βu(0),u(N)=0,\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{l}{\Delta }^{3}u\left(k-1)=\lambda a\left(k)f ...
Li Huijuan, Gao Chenghua, Dimitrov Nikolay D.   +2 more
doaj   +1 more source

Global behavior of a third order difference equation

Tamkang Journal of Mathematics, 2012
The aim of this paper is to investigate the global stability and periodic nature of the positive solutions of the difference equation\[x_{n+1}=\frac{A+Bx_{n-1}}{C+Dx_{n}x_{n-2}},\qquad n=0,1,2,\ldots\] where $A,B$ are nonnegative real numbers and$C, D>0$.
openaire   +3 more sources

Attractivity of two nonlinear third order difference equations

Journal of the Egyptian Mathematical Society, 2013
Consider the difference equations \[ x_{n+1}=\frac{A-Bx_{n-1}}{C+Dx_{n-2}},\;n=0,1,2,\dots,\tag{\(*\)} \] where \(A,B\) are nonnegative, \(D>0\) and \(C\) is a nonzero real number. Also, \(C+Dx_{n-2}\neq 0\) for all \(n\geq 0\). The author investigates the global attractivity, periodic nature, oscillation and boundedness of all admissible solutions of ...
openaire   +1 more source

The role and implications of mammalian cellular circadian entrainment

FEBS Letters, EarlyView.
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

Basins of Attraction for Third-Order Sigmoid Beverton Holt Difference Equation

Mathematics
The third-order difference equation yn+1=a1yn21+yn2+a2yn−121+yn−12+a3yn−221+yn−22, as a potential discrete time model of population dynamics with three generation involved, is studied.
Mustafa R. S. Kulenović, Ryan Sullivan
doaj   +1 more source

Time after time – circadian clocks through the lens of oscillator theory

FEBS Letters, EarlyView.
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo, Carolin Ector, Hanspeter Herzel   +2 more
wiley   +1 more source