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ЖУРНАЛЫ // Проблемы анализа — Issues of Analysis // Архив

Пробл. анал. Issues Anal., 2022, том 11(29), выпуск 2, страницы 42–58 (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

Аннотация: 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.

Ключевые слова: coupled-jumping time scales, multivariable calculus, partial dynamic equation, Laplace transform.

УДК: 517.44

MSC: 26E70, 35A08, 44A10

Поступила в редакцию: 15.03.2022
Исправленный вариант: 17.05.2022
Принята в печать: 20.05.2022

Язык публикации: английский

DOI: 10.15393/j3.art.2022.11910



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