具有偏差变元的扰动Hammerstein积分方程的非零解及其应用
Nonzero solutions of perturbed Hammerstein integral equations with deviated arguments and applications
摘要：
本文给出了一类带偏差变元的扰动Hammerstein型积分方程非零解的存在性定理，其中的主要成分是不动点指数理论.我们的方法是相当普遍的，涵盖了各种情况。我们将我们的结果应用到一个周期性的边值问题的反射和恒温器的问题。在反射的情况下，我们还讨论了在我们的理论中出现的一些常数的最优性。最后给出了一些例子来说明这一理论。
英文摘要：
We provide a theory to establish the existence of nonzero solutions of perturbed Hammerstein integral equations with deviated arguments, being our main ingredient the theory of fixed point index. Our approach is fairly general and covers a variety of cases. We apply our results to a periodic boundary value problem with reflections and to a thermostat problem. In the case of reflections we also discuss the optimality of some constants that occur in our theory. Some examples are presented to illustrate the theory.
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。
