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Using Picard's theorem and the Leray-Schauder fixed point theorem to reinvestigate the area-preserving convex curve flow in the plane which is considered as a coupled system and thus different from the setting handled by Gage.
      
By using a fixed point theorem in cones, some criteria for the existence of positive solutions are given.
      
The approach used is the upper-lower solution technique and Schauder fixed point Theorem developed by Ma (J Differential Equations, 2001, 171:294-314).
      
Given a positive Radon measure μ on Rd satisfying the linear growth condition μ(B(x,r))≤C0rn,x∈Rd,r>amp;gt;0, (1) where n is a fixed number and 0>amp;lt;n≤d.
      
By applying the Lp theory of parabolic equations and the Banach fixed point theorem, it is proved that this problem has a unique global classical solution.
      
By using Krasnosel'skii's fixed-point theorem and fixed-point index theorem, criteria are achieved for the existence of at least one, two or 2n positive solutions.
      
By means of Schauder fixed-point theorem, an existence result of solution is obtained.
      
In this paper the authors show that for any fixed integer r ≥ 5, if the edges of a graph G are colored by r colors, called an r-edge-colored graph, the problem remains NP-complete.
      
A new control system for the actuator was put forward and tested, which is called the fixed-frequency with adjustable voltage.
      
This article proposes a new kind of microstrip reflectarray antenna, of which the polarization could be reconfigured among all the polarization states instead of some fixed states in a dual-or multi-polarized antenna.
      
The simulated results show that FSS may operate in different bands and especially generate a large reduction in the resonant frequency for a fixed unit cell size through different loadings.
      
To improve the reconstruction quality, the DCT_M model is proposed to express the excitation spectral parameter, which transforms the variable length vector to fixed dimension vector through DCT transformation.
      
It then quantizes the fixed length vector using multi-stage vector quantization.
      
The underground biomass of these three forests which estimated with others' research were 10.44, 9.42 and 11.48 t/hm2, and the amount of carbon-fixed were 47.94, 45.14 and 37.52 t/hm2, respectively.
      
A series of admissible wavelets is fixed, which forms an orthonormal basis for the Hilbert space of all the quaternion-valued admissible wavelets.
      
Two Y-shape pipes are fixed outside the chamber serving as an inlet and outlet, with the chamber and a piezoelectric vibrator being the actor.
      
Numerical results indicate that an optimal working frequency can be obtained, at which the flow rate of the micropump achieves the maximum when the external electric voltage is fixed.
      
According to finite element analysis and experiments of the dynamic characteristics of end-loaded piezoelectric cantilever bimorphs, a specific fixed-frequency and adjustable-amplitude is confirmed to control the actuator.
      
The results show that an actuator excited by fixed-frequency and the adjustable-amplitude ramp voltage waveform works with a large travel range (180°), high resolution (1 μrad), speed (0.2 rad/min) and heavy-load ability (0.02 Nm).
      
For each test curve, the speeds of the two stage turbochargers were adjusted to the fixed data, and a compressor performance experiment was performed.
      
 

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