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Problemy Analiza — Issues of Analysis, 2022, Volume 11(29), Issue 2, Pages 42–58
DOI: https://doi.org/10.15393/j3.art.2022.11910 (Mi pa351) 		 
Time-hybrid heat and wave equations on scattered $n$-dimensional coupled-jumping time scales

Z. Lia, C. Wanga, R. P. Agarwalbc

a Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, China
b Florida Institute of Technology
c Department of Mathematics, Texas A&M University-Kingsville, TX 78363-8202, Kingsville, TX, USA
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DOI: https://doi.org/10.15393/j3.art.2022.11910
Abstract: In this paper, the exponential, hyperbolic, and trigonometric functions on $n$-dimensional coupled-jumping time scales (CJTS for short) are introduced. Based on this, we introduce the Laplace transform on $n$-dimensional CJTS and establish their related properties. Moreover, the homogeneous time-hybrid heat and wave equations are solved on scattered $n$-demensional CJTS using this Laplace transform.
Keywords: coupled-jumping time scales, multivariable calculus, partial dynamic equation, Laplace transform.
Funding agency Grant number
National Natural Science Foundation of China 11961077
This work is supported by NSFC (No. 11961077).
Received: 15.03.2022
Revised: 17.05.2022
Accepted: 20.05.2022
Bibliographic databases:
Document Type: Article
UDC: 517.44
MSC: 26E70, 35A08, 44A10
Language: English
Citation: Z. Li, C. Wang, R. P. Agarwal, “Time-hybrid heat and wave equations on scattered $n$-dimensional coupled-jumping time scales”, Probl. Anal. Issues Anal., 11(29):2 (2022), 42–58
Citation in format AMSBIB
\Bibitem{LiWanAga22}
\by Z.~Li, C.~Wang, R.~P.~Agarwal
\paper Time-hybrid heat and wave equations on scattered $n$-dimensional coupled-jumping time scales
\jour Probl. Anal. Issues Anal.
\yr 2022
\vol 11(29)
\issue 2
\pages 42--58
\mathnet{http://mi.mathnet.ru/pa351}
\crossref{https://doi.org/10.15393/j3.art.2022.11910}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4459166}
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