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在本报告中, 我们首先介绍一个带有内部跳跃条件的二阶常微分方程特征值问题, 并将说明该特征值问题等价于一个带有 Dirac 势测度的测度微分方程特征值问题. 进而我们考虑更一般的带有 Dirac 势测度的测度微分方程特征值问题, 并且给出主特征值的存在性定理. 其次, 我们介绍带有内部跳跃条件的 logistic 扩散方程, 并且给出解的存在性定理. 此外, 我们还将讨论这些问题的生物学意义。
We consider a linear feeder connecting multiple distributed loads and generators to the sub-station. Voltage is controlled directly at the sub-station, however, voltage down the line shifts up or down...
This is an review on the point classification of second order ODE's by Ruslan Sharipov. His works were published in 1997-1998 at the Electronic Archive at LANL and undeservedly forgotten. Last chapter...
Abstract: The classical model of q-damped oscillator is introduced and solved in terms of Jackson q-exponential function for three different cases, under-damped, over-damped and the critical one. It i...
We consider a model of a distribution feeder connecting multiple loads to the sub-station. Voltage is controlled directly at the head of the line (sub-station), however, voltage anywhere further down ...
We consider a model of a distribution feeder connecting multiple loads to the sub-station. Voltage is controlled directly at the head of the line (sub-station), however,voltage anywhere further down t...
We study a one-dimensional elliptic problem with highly oscillatory random diffusion coefficient. We derive a homogenized solution and a so-called Gaussian corrector.We also prove a “pointwise” large ...
This short paper is dedicated to Mauricio Peixoto who abstracted the practical theory of ODE's and to David Rand who applied the subsequent powerful abstract theory to practical problems.
The jeep problem was first solved by O. Helmer and N.J. Fine. But not much later, C.G. Phipps formulated a more general solution. He formulated a so-called convoy or caravan variant of the jeep proble...
We find a general solution to the unique 7th order ODE admitting ten dimensional group of contact symmetries. The integral curves of this ODE are rational contact curves in $\PP^3$ which give rise to ...
In [15], [16] a new class of intelligent controllers that can semantically embed an agent in a spatial context constraining its behavior in a goal-oriented manner was suggested. A controller of such a...
2003Vol.39No.6pp.643-646DOI: Solitary Wave in Linear ODE with Variable Coefficients LIU Shi-Da,1,2 FU Zun-Tao,1,2 LIU Shi-Kuo,1 XIN Guo-Jun,1 LIANG Fu-Ming,1 and FENG Bei-Ye3 ...

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