Problemy Analiza — Issues of Analysis
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Probl. Anal. Issues Anal.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (633 kB)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/pa351
  • https://www.mathnet.ru/eng/pa/v29/i2/p42
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Problemy Analiza — Issues of Analysis
    Statistics & downloads:
    Abstract page:72
    Full-text PDF :25
    References:18
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024