双参数Winkler地基上弹性杆平衡形式的分叉
Bifurcation of equilibrium forms of an elastic rod on a two-parameter Winkler foundation
摘要：
研究了弹性地基上弹性杆的平衡态的双参数分岔。我们的主要定理表明，分歧发生当且仅当我们的问题的线性化有非平凡的解决方案。事实上，我们的证明，根据概念的布劳威尔度，给更多的，即从每个歧点有分支的连续的解决方案。
英文摘要：
We consider two-parameter bifurcation of equilibrium states of an elastic rod on a deformable foundation. Our main theorem shows that bifurcation occurs if and only if the linearization of our problem has nontrivial solutions. In fact our proof, based on the concept of the Brouwer degree, gives more, namely that from each bifurcation point there branches off a continuum of solutions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
