In this paper, we study the positive radial solutions for elliptic systems to the nonlinear BVP:<br /> <img src="Edit_4da56369-d8f9-42d0-9650-c15af375d30c.bmp" alt="" />, where Δu = d...In this paper, we study the positive radial solutions for elliptic systems to the nonlinear BVP:<br /> <img src="Edit_4da56369-d8f9-42d0-9650-c15af375d30c.bmp" alt="" />, where Δu = div (<span style="white-space:nowrap;">∇u) and Δv = div (<span style="white-space:nowrap;">∇v) are the Laplacian of u, <span style="white-space:nowrap;">λ is a positive parameter, Ω = {x ∈ R<sup>n</sup> : N > 2, |x| > r<sub>0</sub>, r<sub>0</sub> > 0}, let i = [1,2] then K<sub>i</sub> :[r<sub>0</sub>,∞] → (0,∞) is a continuous function such that lim<sub>r→∞</sub> k<sub>i</sub>(r) = 0 and <img src="Edit_19f045da-988f-43e9-b1bc-6517f5734f9c.bmp" alt="" /> is The external natural derivative, and <img src="Edit_3b36ed6b-e780-46de-925e-e3cf7c6a125f.bmp" alt="" />: [0, ∞) → (0, ∞) is a continuous function. We discuss existence and multiplicity results for classes of f with a) f<sub>i </sub>> 0, b) f<sub>i </sub>< 0, and c) f<sub>i </sub>= 0. We base our presence and multiple outcomes via the Sub-solutions method. We also discuss some unique findings.展开更多
Fault management study in smart grid systems (SGSs) is important to ensure the stability of the system. Also, it is important to know the major types of power failures for the effective operation of the SGS. This pape...Fault management study in smart grid systems (SGSs) is important to ensure the stability of the system. Also, it is important to know the major types of power failures for the effective operation of the SGS. This paper reviews diverse types of faults that might appear in the SGS and gives a survey about the impact of renewable energy resources (RERs) on the behavior of the system. Moreover, this paper offers different fault detection and localization techniques that can be used for SGSs. Furthermore, a potential fault management case study is proposed in this paper. The SGS model in this paper is investigated using both of the Matlab/Simulink and the Real Time Digital Simulation (RTDS) to compute the fault management study. Simulation results show the fast response to a power failure in the system which improves the stability of the SGS.展开更多
文摘In this paper, we study the positive radial solutions for elliptic systems to the nonlinear BVP:<br /> <img src="Edit_4da56369-d8f9-42d0-9650-c15af375d30c.bmp" alt="" />, where Δu = div (<span style="white-space:nowrap;">∇u) and Δv = div (<span style="white-space:nowrap;">∇v) are the Laplacian of u, <span style="white-space:nowrap;">λ is a positive parameter, Ω = {x ∈ R<sup>n</sup> : N > 2, |x| > r<sub>0</sub>, r<sub>0</sub> > 0}, let i = [1,2] then K<sub>i</sub> :[r<sub>0</sub>,∞] → (0,∞) is a continuous function such that lim<sub>r→∞</sub> k<sub>i</sub>(r) = 0 and <img src="Edit_19f045da-988f-43e9-b1bc-6517f5734f9c.bmp" alt="" /> is The external natural derivative, and <img src="Edit_3b36ed6b-e780-46de-925e-e3cf7c6a125f.bmp" alt="" />: [0, ∞) → (0, ∞) is a continuous function. We discuss existence and multiplicity results for classes of f with a) f<sub>i </sub>> 0, b) f<sub>i </sub>< 0, and c) f<sub>i </sub>= 0. We base our presence and multiple outcomes via the Sub-solutions method. We also discuss some unique findings.
文摘Fault management study in smart grid systems (SGSs) is important to ensure the stability of the system. Also, it is important to know the major types of power failures for the effective operation of the SGS. This paper reviews diverse types of faults that might appear in the SGS and gives a survey about the impact of renewable energy resources (RERs) on the behavior of the system. Moreover, this paper offers different fault detection and localization techniques that can be used for SGSs. Furthermore, a potential fault management case study is proposed in this paper. The SGS model in this paper is investigated using both of the Matlab/Simulink and the Real Time Digital Simulation (RTDS) to compute the fault management study. Simulation results show the fast response to a power failure in the system which improves the stability of the SGS.
