Citation: | Yang Wenxiong, Yang Changjun. Super Nonlinear Total Energy of a Particle and the Theory of de Broglie Wave[J]. Applied Mathematics and Mechanics, 1999, 20(5): 499-503. |
[1] |
杨文熊.广义非线性、非定常力学理论及在粒子物理学中的应用[J].应用数学和力学,1995,16(1):23~32.
|
[2] |
杨文熊.粒子超(广义)非线性速度、时间的相对不对称效应和随体动力学关系式[J].应用数学和力学,1999,20(3):263~268.
|
[3] |
杨文熊.幂向量,复合向量数及其函数理论[J].应用数学和力学,1996,17(2):133~138.
|
[4] |
Rosser W G V.An Introduction to the Theory of Relativity[M].London:Butter-worths,1964.
|
[5] |
仉光炯,李洪芳.近代物理[M].上海:上海科学技术出版社,1979.
|
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[20] | Zhang Rong-xiang, Chen Zhao-kuan. Application of the Theory of Branching of Solutions of Nonlinear Equations to the Estimation of Pole Perturbance of Linear Closed-Loop Systems[J]. Applied Mathematics and Mechanics, 1982, 3(5): 661-670. |