时间尺度上具有n个奇异点的边值问题迭代系统的可数多正解

IF 1 Q1 MATHEMATICS Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI:10.46793/kgjmat2303.369p

K. R. Prasad, M. Khuddush

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摘要

本文考虑具有n个奇异点的积分边界条件的两点边值问题迭代系统，该系统涉及一个递增同胚、正同态算子。在Banach空间中应用Hölder不等式和Krasnoselskii锥不动点定理，得到了该问题存在可数多正解的充分条件。最后通过一个算例验证了所得结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Denumerably many Positive Solutions for Iterative System of Boundary Value Problems with N-Singularities on Time Scales

In this paper we consider a iterative system of two-point boundary value problems with integral boundary conditions having n singularities and involve an increasing homeomorphism, positive homomorphism operator. By applying Hölder’s inequality and Krasnoselskii’s cone ﬁxed point theorem in a Banach space, we derive suﬃcient conditions for the existence of denumerably many positive solutions. Finally we provide an example to check validity of our obtained results.

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