Results 71 to 80 of about 587,634 (306)
We consider a nonlinear nonlocal parabolic equation ut = Δu + a(x,t)ur∫Ωup(y,t)dy - b(x,t)uq for (x,t) ∈ Ω × (0,+∞) with nonlinear nonlocal boundary condition u(x,t)|∂Ω × (0,+∞) = ∫Ωk(x,y,t)ul(y,t)dy and initial data u(x,0) = u0(x), x ∈ Ω, where r, p, q,
Alexander L. Gladkov +1 more
doaj
Global stability of a predator-prey model with Beddington–DeAngelis and Tanner functional response
In this paper, we study the global stability of a predator–prey system with Beddington–DeAngelis and Tanner functional response. By using the iteration method and comparison principle, we prove the global asymptotic stability of the unique positive ...
Nai-Wei Liu, Na Li
doaj +1 more source
We analyze cisplatin–DNA adducts (CDAs) and double‐strand breaks (DSBs) in a cell‐cycle‐dependent manner. We find that CDAs form similarly across all cell cycle phases. DSBs arise only in S‐phase. CDAs might not directly impair DSB repair, but S‐phase DSB lesions evolve in the presence of CDAs and disrupt repair in G2, also causing radiosensitization ...
Ye Qiu +10 more
wiley +1 more source
Comparison Principle for Stochastic Heat Equation on Torus
We study the comparison principle for the stochastic heat equation on torus, associated with white-in-time and colored-in-space noise. We begin with the review of foundation for stochastic integration, followed by the result of existence and regularity ...
Zhecheng Huang (21558848)
core +1 more source
Comparison principle for some classes of nonlinear elliptic equations
We prove a comparison principle for second order quasilinear elliptic operators in divergence form when a first order term appears. We deduce uniqueness results for weak solutions to Dirichlet problems when data belong to the natural dual ...
ALVINO A +8 more
core +1 more source
A Comparison Principle for Some Types of Elliptic Equations [PDF]
In this paper a comparison principle between a continuous viscosity supersolution and a continuous viscosity subsolution is presented. The operator of interest is a fully nonlinear uniformly elliptic one with a gradient term which could be noncontinuous and grow like some BMO functions, as shown in the last section.
openaire +3 more sources
RNA profiling of circulating extracellular vesicles (EVs) from blood samples of men undergoing prostate biopsy identifies transcripts associated with clinically significant prostate cancer. Integrative analysis with public tumor datasets links EV‐derived gene signatures to tumor stage and progression‐free survival, highlighting CASP3, XRCC2, and RIT1 ...
Stefan Werner +14 more
wiley +1 more source
Principle of Designing Fin-and-Tube Heat Exchanger With Smaller Tube for Air Condition
The principle of designing fin-and-tube heat exchanger with smaller tubes is proposed in this study. The principle includes designing of fin configuration and designing of refrigerant circuits.
Song, Ji +4 more
core
Comparison Principle and Stability of Discrete-Time Impulsive Hybrid Systems
This paper studies discrete-time impulsive hybrid systems. The comparison principle and uniform stability are established for discrete-time impulsive hybrid systems and this kind of systems with time delay.
Liu, Bin, Hill, David
core +1 more source
Note on a role for entire functions of the classes P and P*
We use the B and B* operators of Levin on the Classes P and P* and a comparison principle to prove a Gauss-Lucas Theorem for differential operators. The connection with the determination of final sets for differential operators is then clarified.
C. L. Prather
doaj +1 more source

