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The IEEE 802.15.4 standard focuses on energy-aware wireless sensor networks (WSNs) and the Task Group 4e has published an amendment to fulfill up to 100 sensor value transmissions per second per sensor node (low latency deterministic network (LLDN) mode) to satisfy demands of factory automation.
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The present paper deals with the dependence of eigenvalues of 2nth order boundary value transmission problems on the problem.
From the definition of Ω, we know that each of (omega in Omega ) uniquely determines a boundary value transmission problem.
In this paper, we study the dependence of eigenvalues of 2nth order boundary value transmission problems on the problem.
In this section, we prove the continuity of eigenvalues and normalized eigenfunctions for the 2nth order boundary value transmission problems.
The purpose of this study is to investigate a new class of boundary value transmission problems (BVTPs) for a Sturm-Liouville equation on two separate intervals.
For the background and applications of boundary value transmission problems to different areas, we refer the reader to the monographs and some recent contribution [8 11, 17, 18, 20 25].
Based on the space X, the set Ω and Lemma 2, we obtain that the eigenvalues of 2nth order boundary value transmission problems depend continuously on the problem.
It is well known that boundary value transmission problems are of great importance for their wide applications in physics and engineering.
Because every point in Ω is an accumulation point of Ω in relation to the norm (3.7), so it is meaningful to discuss convergence of boundary value transmission problems with respect to this norm.
Another benefit to home countries comes in the form of social remittances: technology transfers, information or knowledge exchanges, and democratic values transmission, for example.
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