Abstract

In this work, we study an inverse nodal problem for a differential pencil with boundary condition depends on eigenparameter. We show that there exists a solution of the problem that satisfied the conditions. Also, we give eigenvalues, nodal points and some formulas for $q_n(x).$ Although there were given some results for this type problem, we think that inverse nodal problems have not solved yet.

中文翻译：

---

多项式势的逆节点问题

摘要

在这项工作中，我们研究了边界条件依赖于特征参数的微分铅笔的逆节点问题。我们证明存在满足条件的问题的解决方案。此外，我们给出了特征值、节点和一些公式$q_n(X).$ 虽然对于这类问题已经给出了一些结果，但我们认为逆节点问题还没有解决。