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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
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.
Received: 15.03.2022 Revised: 17.05.2022 Accepted: 20.05.2022
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
Linking options:
https://www.mathnet.ru/eng/pa351 https://www.mathnet.ru/eng/pa/v29/i2/p42
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Abstract page: | 53 | Full-text PDF : | 21 | References: | 10 |
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