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某些偏微分方程的通解及其在弹性力学中的应用
引用本文:王林生.某些偏微分方程的通解及其在弹性力学中的应用[J].河海大学学报(自然科学版),1989,17(2):35-42.
作者姓名:王林生
作者单位:河海大学工程力学系
摘    要:本文建立了两个命题,即二维两阶偏微分方程组的通解形式,利用本文命题,可以系统地导出弹性力学中许多在理论上和实用上都有意义的通解。而对于“通解”这一点,过去文献中均没证明过。

关 键 词:偏微分方程  通解  弹性力学

General Solutions to Some Partial Differential Equations and Their Applications in Elasticity
Wang Linsheng.General Solutions to Some Partial Differential Equations and Their Applications in Elasticity[J].Journal of Hohai University (Natural Sciences ),1989,17(2):35-42.
Authors:Wang Linsheng
Institution:Wang Linsheng
Abstract:In the paper two propositions are obtained on general solutions of 2-D second order partial differential equations(or simultaneaus equations).By the use of the present propositions,many general solutions in elasticity, which possess theoretical and practical signficance can be systematically direved.It shomd be noted that the proofs of general solutions for the problems mentioned in this paper have never been provided before in other references.
Keywords:partial differential equation  general solution  elasticity
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