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摄氧量动力学的指数函数方程及对工作能力的影响
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作者 刘洵 张淑霞 《天津体育学院学报》 CAS 北大核心 1995年第2期6-8,共3页
摄氧量动力学反映的是运动开始后摄氧量逐渐增加至稳定状态过程的变化情况,其曲线在小于无氧阈强度时呈单因素指数函数方程特征,在大于无氧阈强度时呈双因素指数函数方程特征,即包含了乳酸成分。
关键词 摄氧量动力学 单因素指数函数方程 双因素指数函数方程
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几类广义Pexider方程的解
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作者 肖志涛 《广东工业大学学报》 CAS 2022年第2期72-75,共4页
讨论了Pexider可加函数方程、Pexider指数函数方程、Pexider对数函数方程、Pexider幂函数方程的一般形式,给出了这些方程的通解。
关键词 Pexider方程 可加函数方程 指数函数方程 对数函数方程 函数方程
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Approximate Analytical Solutions for Scattering States of D-dimensional Hulthen Potentials 被引量:1
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作者 CHEN Chang-Yuan SUN Dong-Sheng LIU Cheng-Lin LU Fa-Lin 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第3期399-404,共6页
Using the exponential function transformation approach along with an approximation for the centrifugal potential, the radial Schr6dinger equation of D-dimensional Hulthen potential is transformed to a hypergeometric d... Using the exponential function transformation approach along with an approximation for the centrifugal potential, the radial Schr6dinger equation of D-dimensional Hulthen potential is transformed to a hypergeometric differential equation. The approximate analytical solutions of scattering states are attained. The normalized wave functions expressed in terms of hypergeometrie functions of scattering states on the "k/2π scale" and the calculation formula of phase shifts are given. The physical meaning of the approximate analytical solutions is discussed. 展开更多
关键词 D-dimensional Hulthen potential Schrodinger equation scattering states approximate analytical solutions
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On Some Bending Problems of Prismatic Shell with the Thickness Vanishing at Infinity
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作者 Natalia Chinchaladze Margarita Tutberidze 《Journal of Mathematics and System Science》 2017年第3期88-93,共6页
The present work is devoted to the bending problems of prismatic shell with the thickness vanishing at infinity as an exponential function. The bending equation in the zero approximation of Vekua's hierarchical model... The present work is devoted to the bending problems of prismatic shell with the thickness vanishing at infinity as an exponential function. The bending equation in the zero approximation of Vekua's hierarchical models is considered. The problem is reduced to the Dirichlet boundary value problem for elliptic type partial differential equations on half-plane. The solution of the problem under consideration is constructed in the integral form. 展开更多
关键词 Cusped prismatic shell Vekua's hierachical models Elliptic type partial differential equations
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H^2-Stabilization of the Isothermal Euler Equations: a Lyapunov Function Approach
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作者 Martin GUGAT Günter LEUGERING Simona TAMASOIU 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2012年第4期479-500,共22页
The authors consider the problem of boundary feedback stabilization of the 1D Euler gas dynamics locally around stationary states and prove the exponential stability with respect to the H2-norm. To this end, an explic... The authors consider the problem of boundary feedback stabilization of the 1D Euler gas dynamics locally around stationary states and prove the exponential stability with respect to the H2-norm. To this end, an explicit Lyapunov function as a weighted and squared H2-norm of a small perturbation of the stationary solution is constructed. The authors show that by a suitable choice of the boundary feedback conditions, the H2- exponential stability of the stationary solution follows. Due to this fact, the system is stabilized over an infinite time interval. Furthermore, exponential estimates for the C norm are derived. 展开更多
关键词 Boundary control Feedback stabilization Quasilinear hyperbolic system Balance law Gas dynamics Isothermal Euler equations Exponential stabil-ity Lyapunov function H2-norm Stationary state Characteristic variable
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