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Yin, Honghui,Yang, Zuodong The Korean Society for Computational and Applied M 2011 Journal of applied mathematics & informatics Vol.29 No.3
In this paper, our main purpose is to establish the existence of weak solutions of a weak solutions of a class of p-q-Laplacian system involving concave-convex nonlinearities: $$\{\array{-{\Delta}_pu-{\Delta}_qu={\lambda}V(x)|u|^{r-2}u+\frac{2{\alpha}}{\alpha+\beta}|u|^{\alpha-2}u|v|^{\beta},\;x{\in}{\Omega}\\-{\Delta}p^v-{\Delta}q^v={\theta}V(x)|v|^{r-2}v+\frac{2\beta}{\alpha+\beta}|u|^{\alpha}|v|^{\beta-2}v,\;x{\in}{\Omega}\\u=v=0,\;x{\in}{\partial}{\Omega}}$$ where ${\Omega}$ is a bounded domain in $R^N$, ${\lambda}$, ${\theta}$ > 0, and 1 < ${\alpha}$, ${\beta}$, ${\alpha}+{\beta}=p^*=\frac{N_p}{N_{-p}}$ is the critical Sobolev exponent, ${\Delta}_su=div(|{\nabla}u|^{s-2}{\nabla}u)$ is the s-Laplacian of u. when 1 < r < q < p < N, we prove that there exist infinitely many weak solutions. We also obtain some results for the case 1 < q < p < r < $p^*$. The existence results of solutions are obtained by variational methods.
ON GROUND STATE SOLUTIONS FOR SINGULAR QUASILINEAR ELLIPTIC EQUATIONS
Honghui Yin,Zuodong Yang 한국전산응용수학회 2011 Journal of applied mathematics & informatics Vol.29 No.3
In this paper, our main purpose is to establish the existence of positive bounded entire solutions of second order quasilinear elliptic equation on R^N. we obtained the results under different suitable conditions on the locally Holder continuous nonlinearity f(x, u), we needn't any mono-tonicity condition about the nonlinearity.
Existence of three solutions for a Navier boundary value problem involving the p(x)-biharmonic
Honghui Yin,Ying Liu 대한수학회 2013 대한수학회보 Vol.50 No.6
The existence of at least three weak solutions is established for a class of quasilinear elliptic equations involving the p(x)-biharmonic operators with Navier boundary value conditions. The technical approach is mainly based on a three critical points theorem due to Ricceri [11].
Honghui Yin,Zuodong Yang 한국전산응용수학회 2011 Journal of applied mathematics & informatics Vol.29 No.3
In this paper, our main purpose is to establish the existence of weak solutions of a class of p-q-Laplacian system involving concave-convex nonlinearities:[수식]where Ω is a bounded domain in R^N, λ, θ > 0, and 1 < α, β, α+β = p^* = N_p/N_(-p) is the critical Sobolev exponent, ∇_su = div(|∇_u|^(s-2)∇u) is the s-Laplacian of u. when 1 < r < q < p < N, we prove that there exist inff\initely many weak solutions. We also obtain some results for the case 1 < q < p < r < p^*. The existence results of solutions are obtained by variational methods.
ON GROUND STATE SOLUTIONS FOR SINGULAR QUASILINEAR ELLIPTIC EQUATIONS
Yin, Honghui,Yang, Zuodong The Korean Society for Computational and Applied M 2011 Journal of applied mathematics & informatics Vol.29 No.3
In this paper, our main purpose is to establish the existence of positive bounded entire solutions of second order quasilinear elliptic equation on $R^N$. we obtained the results under different suitable conditions on the locally H$\"{o}$lder continuous nonlinearity f(x, u), we needn't any mono-tonicity condition about the nonlinearity.
EXISTENCE OF THREE SOLUTIONS FOR A NAVIER BOUNDARY VALUE PROBLEM INVOLVING THE p(x)-BIHARMONIC
Yin, Honghui,Liu, Ying Korean Mathematical Society 2013 대한수학회보 Vol.50 No.6
The existence of at least three weak solutions is established for a class of quasilinear elliptic equations involving the p(x)-biharmonic operators with Navier boundary value conditions. The technical approach is mainly based on a three critical points theorem due to Ricceri [11].
Hu Changxiong,Li Yiru,Chen Guohua,Duan Pan,Wu Daohui,Liu Qing,Yin Honghui,Xu Tianyang,Zhang Xiaoming 한국응용곤충학회 2021 Journal of Asia-Pacific Entomology Vol.24 No.3
Frankliniella occidentalis Pergrande is important invasive pests in China, causing damage to agricultural pro duction, and Orius similis Zheng is the dominant predator species of F. occidentalis. A two-year survey was conducted to determine the population density of F. occidentalis and O. similis, on chili (Capsicum annuum L.) and maize (Zea mays L.) crops and surrounding weed species, which included white clover (Trifolium repens L.), St. John’s wort (Hypericum beanii N. Robson), alfalfa (Medicago sativa L.) and beggarticks (Bidens pilosa L.) in Kunming, southern China. The activity of F. occidentalis on these 6 host plant species was determined using the quartile method. F. occidentalis mainly damaged plants during their flowering stage. The main activity period of F. occidentalis occurred earlier on H. beanii and T. repens than on C. annuum. The peak activity of F. occidentalis occurred in the middle of May (on T. repens). During the whole activity period, the highest thrips densities were recorded on H. beanii among all of the sampled host plant species, followed by C. annuum. The lowest density was recorded on B. pilosa. Dynamics of immature F. occidentalis were more irregular than that of adults. The highest density of O. similis was recorded on Z. mays. It was 2.27–26.43-fold (2017) and 2.01–19.09-fold (2018) higher than that on other host plant species. This study showed that F. occidentalis could migrate between C. annuum and surrounding weeds. The weeds were the main source of thrips on C. annuum. The results indicated that Z. mays can be planted around C. annuum fields as a potential banker plant, to attract O. similis to control F. occidentalis on C. annuum, T. repens and B. pilosa. The flowering period of plants and surrounding plant species has a great effect to the population activities of F. occidentalis and predator O. similis on crops.
Digital Post-processing Techniques for Time-interleaved ADCs
Hongmei Chen,Lanyu Wang,Jian Wang,Jiashen Li,Honghui Deng,Xu Meng,Yongsheng Yin 대한전자공학회 2022 IEIE Transactions on Smart Processing & Computing Vol.11 No.6
This paper presents an all-digital post-processing circuit for a high-speed and highprecision time-interleaved ADC (TIADC). By pre-inputting a test signal in the TIADC, channel mismatch errors are estimated and stored, and the stored values are extracted to compensate for errors when the input signal is at a special frequency. The frequency can be detected by a threshold judgement module. This solves the problem of the traditional modulation calibration algorithm, which cannot calibrate the signal at a special frequency. A high-speed low-complexity digital down converter (DDC) circuit with an optional decimation ratio of 1, 2, 4, or 8 times was designed to have different frequency outputs of the TIADC. We applied it to a four-channel 14-bit 360-MHz TIADC system with an input signal fin of 110 MHz. The FPGA verification results show that after calibration and decimation, the spurious-free dynamic range (SFDR) and signal-to-noise distortion ratio (SNDR) improve by about 40 dB and 30 dB, respectively.