Results 61 to 70 of about 2,797,632 (233)

On a general estimation principle and a theory of comparison-factors [PDF]

open access: yes
General estimation principle and comparison- factors theory - approximation ...
Rheinboldt, W. C.
core   +1 more source

Multi-quasi-synchronization of coupled fractional-order neural networks with delays via pinning impulsive control

open access: yesAdvances in Difference Equations, 2017
We investigate the collective dynamics of multi-quasi-synchronization of coupled fractional-order neural networks with delays. Using the pinning impulsive strategy, we design a novel controller to pin the coupled networks to realize the multi-quasi ...
Xiaoli Ruan, Ailong Wu
doaj   +1 more source

A generalised comparison principle for the Monge-Amp\`ere equation and the pressure in 2D fluid flows

open access: yes, 2016
We extend the generalised comparison principle for the Monge-Amp\`ere equation due to Rauch & Taylor (Rocky Mountain J. Math. 7, 1977) to nonconvex domains. From the generalised comparison principle we deduce bounds (from above and below) on solutions of
Ozanski, Wojciech
core  

Useful Results for the Qualitative Analysis of Generalized Hattaf Mixed Fractional Differential Equations with Applications to Medicine

open access: yesComputation
Most solutions of fractional differential equations (FDEs) that model real-world phenomena in various fields of science, industry, and engineering are complex and cannot be solved analytically.
Khalid Hattaf
doaj   +1 more source

On the initial-boundary value problem for a nonlocal parabolic equation with nonlocal boundary condition

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2018
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

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2017
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

A singular ODE related to quasilinear elliptic equations

open access: yesElectronic Journal of Differential Equations, 2000
We consider a quasilinear elliptic problem with the natural growth in the gradient. Existence, non-existence, uniqueness, and qualitative properties of positive solutions are obtained. We consider both weak and strong solutions.
Luka Korkut   +2 more
doaj  

Note on a role for entire functions of the classes P and P*

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1981
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

Existence and regularity of weak solutions for singular elliptic problems

open access: yesElectronic Journal of Differential Equations, 2015
In this article we study the semilinear singular elliptic problem $$\displaylines{ -\Delta u = \frac{p(x)}{u^{\alpha}}\quad \text{in } \Omega \cr u = 0\quad \text{on } \partial\Omega,\quad u>0 \text{ in } \Omega, }$$ where $\Omega$ is a regular ...
Brahim Bougherara   +2 more
doaj  

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