In chapter two , we prove the existence and multiplicity results of some nonlinear biharmonic equations by using lower scmicontinuity method and minimax method 在第二章中，通过下半连续方法和极大极小方法，我们证明了一类非线性双调和方程解的存在性和多解性的结论
This article discusses the solutions of the function extreme value , makes several contrasts of the methods , and shows more solvings and flexibility for one question , thus comes to the beneficial conclusion 通过对函数极值解法的探讨，几种方法的对比，展示了问题的多解性和灵活性，得出了有益的结论。
The author discusses the stress wave reflection used to measure the building foundation through a case study . its uncertainty and some new ideas have also been considered in the paper 摘要应力波反射法判断桩身质量具有多解性，本文通过理论和典型实例对此观点进行分析和引证，以期加深对它的理解和认识。
Interpreting fractures by conventional logging methods is of some shortcomings , such as low resolution , multiple solution and poor objectivity and the application of imaging logging is relatively limited at present 摘要常规方法解释裂缝具有解析度较低、多解性较强、直观性较差等缺陷，而成像测井的应用目前较为有限。
It indicates that only integrated different methods such as geophysics and geology can overcome the nonuniqueness and improve the accuracy , credibility of inverse problem in marine hydrate research 这说明只有将不同的方法如地球物理和地质综合运用，才能克服海洋天然气水合物研究中反问题的多解性，提高其求解的准确性、可信度。
Under the specific geological condition , the combination of different geophysical exploration methods can satisfactorily avoid multiple explanations and uncertainty so as to obtain a relatively ideal interpretation 摘要在特定的地质条件下，不同物探方法相结合使用，可有效避免单种物探方法的多解性和不确定性，获得较为理想的解释。
In the high - resolution seismic profile , to directly identify the diapir is often difficult due to much similarity between diapir and the invasion of igneous rock , thus leading to multi - resolution 在高分辨率地震剖面解释中，直接识别泥底辟构造存在一定困难，主要因为泥底辟构造和火成岩侵入体在形态上十分相似，容易造成解释的多解性。
One hand , our results improve the corresponding results in [ 6 . 10 . 11 ] . on the other hand , some new results as to the existence of multiple solutions are obtained by using several multiplicity theorems in critical points theory 本文一方面对已有文献的结论加以推广，另一方面，运用临界点理论中的几个多解定理得到一些新的多重解的存在性结果。
The paper proposes the elimination by eliminant with aid of basic sets ( eeabs ) , in order to solve the problems in the theories and methods of polynomial system of equations ? limination at present , and to find the multi - solutions of mechanism science ~ research 针对目前多项式方程组的消元理论和方法中存在的问题和不足，本文提出了基组结式消元法，并用以求解机构学研究中的多解问题。
