Results 71 to 80 of about 524,417 (274)
Positive Periodic Solutions of Third-Order Ordinary Differential Equations with Delays
The existence results of positive ω-periodic solutions are obtained for the third-order ordinary differential equation with delays u′′′(t)+a(t)u(t)=f(t,u(t-τ0),u′(t-τ1),u′′(t-τ2)),t∈ℝ, where a∈C(ℝ,(0,∞)) is ω-periodic function and f:ℝ×[0,∞)×ℝ2→[0,∞) is a
Yongxiang Li, Qiang Li
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Positive Periodic Solutions of N-Species Neutral Delay Systems [PDF]
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Time after time – circadian clocks through the lens of oscillator theory
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 +2 more
wiley +1 more source
Positive periodic solutions for third-order ordinary differential equations with delay
This paper deals with the existence of positive ω-periodic solutions for third-order ordinary differential equation with delay u‴(t)+Mu(t)=f(t,u(t),u(t−τ)),t∈R, $$u'''(t)+Mu(t)=f\bigl(t,u(t),u(t-\tau) \bigr),\quad t\in {\mathbb{R}}, $$ where ω>0 $\omega ...
He Yang, Yujia Chen
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Positive periodic solutions for multiparameter nonlinear differential systems with delays
We establish several criteria for the existence of positive periodic solutions of the multi-parameter differential systems {u′(t)+a1(t)g1(u(t))u(t)=λb1(t)f(u(t−τ1(t)),v(t−ζ1(t))),v′(t)+a2(t)g2(v(t))v(t)=μb2(t)g(u(t−τ2(t)),v(t−ζ2(t))), $$\left ...
Ruipeng Chen, Xiaoya Li
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In this paper, a nonautonomous reaction-diffusion predator-prey model with modified Leslie–Gower Holling-II schemes and a prey refuge is proposed. Applying the comparison theory of differential equation, sufficient average criteria on the permanence of ...
Yantao Luo +3 more
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Positive periodic solutions of delay differential equations
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Multiple ETS family transcription factors bind mutant p53 via distinct interaction regions
Mutant p53 gain‐of‐function is thought to be mediated by interaction with other transcription factors. We identify multiple ETS transcription factors that can bind mutant p53 and found that this interaction can be promoted by a PXXPP motif. ETS proteins that strongly bound mutant p53 were upregulated in ovarian cancer compared to ETS proteins that ...
Stephanie A. Metcalf +6 more
wiley +1 more source
EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS
The authors investigate the existence of positive periodic solutions to a general functional-differential equation which includes many mathematical ecological equations. They apply a new method which is based on the Krasnoselskii fixed-point theorem.
Wan, Aying, Jiang, Daqing
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Cryptochrome and PAS/LOV proteins play intricate roles in circadian clocks where they act as both sensors and mediators of protein–protein interactions. Their ubiquitous presence in signaling networks has positioned them as targets for small‐molecule therapeutics. This review provides a structural introduction to these protein families.
Eric D. Brinckman +2 more
wiley +1 more source

