It simulates the human thought and the decision-making process, and solves the control difficult problem of complex system that describing is very difficult with the precise mathematical model (differential or difference equation).

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Transpiration ; mathematical analysis ; heat transfer ; differential equation ; difference equation.

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This main approach is also coincidence degree theory. Moreover, when the time scale T is chosen as the sets of real or integer numbers, the existence of periodic solutions for its differential or difference equation are obtained respectively.

若分別選取時(shí)標(biāo)T為實(shí)數(shù)集或整數(shù)集時(shí)，則分別得到它的微分方程或差分方程周期解的存在性日本电影黄色，這就避免了對(duì)這些生態(tài)系統(tǒng)的微分和差分方程周期解的存在性分別進(jìn)行討論日韩精品永久免费视频。

The researches in this paper have offered solutions to initial value problem for ordinary differential equation involving difference of two monotone functions, ordinary differential equation with integral boundary conditions, and first-order impulsive ordinary differential equation with anti-periodic.

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Critical point theory;nonlinear elliptic differential and difference equation;existence of solution;multiply results;bifurcation;Trudinger—Moser inequality;applications

論文導(dǎo)師劉三陽(yáng)，論文學(xué)位博士亚洲精品福利在线，論文專業(yè)應(yīng)用數(shù)學(xué)論文單位西安電子科技大學(xué)一级a片2018，點(diǎn)擊次數(shù) 4，論文頁(yè)數(shù) 116頁(yè)File Size3483K

Among used machine learning methods, the gradient descent method is widely used to train various classifiers, such as Back-propagation neural network and linear text classifier. However, the gradient descent method is easily trapped into a local minimum and slowly converges. Thus, this study presents a gradient forecasting search method based on prediction methods to enhance the performance of the gradient descent method in order to develop a more efficient and precise machine learning method for Web mining.However, a prediction method with few sample data items and precise forecasting ability is a key issue to the gradient forecasting search method. Applying statistic-based prediction methods to implement GFSM is unsuitable because they require a large number of data items to model a prediction model. In the contrast with statistic-based prediction methods, GM(1,1) grey prediction model does not need a large number of data items to build a prediction model, and it has low computational load. However, the original GM(1,1) grey prediction model uses a mathematical hypothesis and approximation to transform a continuous differential equation into a discrete difference equation in order to model a forecasting model.

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Discrete calculus , discrete probability distribution s, discrete Fourier transform s, discrete geometry , discrete logarithm s, discrete differential geometry , discrete exterior calculus , discrete Morse theory , difference equation s, and discrete dynamical system s.

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According to the plane cross section assumption, configuration of a rod is expressed as a history of the cross section with arc coordinate. A special solution which stands for equilibrium in straight line state is obtained from differential equilibrium equation. Linear perturbation equation is derived and its general solution is obtained in which the integral constants are determined by constrained conditions at two ends of the rod. The condition of existence of non zero solution of the integral constants gives to the Greenhill formula of exact elastic rod model, which shows that the boundary of stable area is a closed curve and of symmetry, and inference of shearable and extensible to stability of the rod is depend on three factors: difference between flexibility of shear and extension of a section of the rod, bending stiffness and the length of the rod.

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Nonlinear wave equation; nonlinear intensity; solitary wave solution; nonlinear differential-difference system; compacton; peakon; noncontinuous solitary solution; bifurcation

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Filter factor with high computation efficiency can be obtained through resolving the difference equation without reducing the number of dimension in solving the 3D partial differential equation.

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