Geodesic
Time-hybrid heat and wave equations on scattered $n$-dimensional coupled-jumping time scales
Problemy analiza, Tome 11 (2022) no. 2, pp. 42-58

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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, partial dynamic equation
Mots-clés : multivariable calculus, Laplace transform. 
@article{PA_2022_11_2_a3,
     author = {Z. Li and C. Wang and R. P. Agarwal},
     title = {Time-hybrid heat and wave equations on scattered $n$-dimensional coupled-jumping time scales},
     journal = {Problemy analiza},
     pages = {42--58},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2022_11_2_a3/}
}
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Z. Li; C. Wang; R. P. Agarwal. Time-hybrid heat and wave equations on scattered $n$-dimensional coupled-jumping time scales. Problemy analiza, Tome 11 (2022) no. 2, pp. 42-58. http://geodesic.mathdoc.fr/item/PA_2022_11_2_a3/