TARU PUBLICATIONS
Journal of Interdisciplinary Mathematics cover
Hybrid ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

Some properties of the first-order partial differential equation in the spaces Vα and Lp

*

* Corresponding author · click or hover a name for details

pp. 835–841Vol. 27Issue 4June 2024DOI: 10.47974/JIM-1880XML
Received:
12 Dec 2023
Published Online:
30 Jun 2024
Article type:
Research Article
Language:
EN
Article no.:
JIM-1880
Pages:
835–841

Abstract

We want to prove the realization of periodic solutions, their density, strong and exponential stability in the Lp, 0 < p < 1  and Vα spaces of first order partial differential equation.

Keywords

Subject Classifications

15A6032A70

References

[1] Braga E. J. and Marcelo J. S. de Lemos, “ Simulation of turbulent natural convection in porous cylindrical annulus using a macroscopic two- equation model”, International Journal of heat and Mass transfer 49, 4340-4351, (2006). 
[2]  Dawidowics A. L. and Haribash A. ,” On the dense trajectory of Lasota    equation”, Univ. Iagell. Acta Math 43, 61-66, (2005).
[3] A.L. Dawidowicz A. L. ,” On the existence of an invariant measure for a quasi-linear partial differential equation”, Zeszyty Nankowe UJ, Parce Matematyczne 23, 117-123, (1982).
[4] Dawidowicz A. L., “On the existence of an invariant measure for the dynamical system generated by partial differential equation”, Ann. Polon. Math. XLI, 129-137,(1983).
[5] Dawidowicz A. L., Haribash N., “On the periodic solution of von Foerster type equation”, Universitatis Iagellonicae Acta Mathematica 37, 321-324, (1999).   
[6] Matsui M. ,Takeo F. “Chaotic semigroup generated by certain differential operators of order 1”, SUT J, Math 37(1), 51-67, (2001).
[7] Lasota A. , Pianigiani G. , “Invariant measures on topological spaces”, Boll. Un. Mat. Ital, (5) 15-B, 592-603, (1977).
[8] Lasota A., Szark T. , “Dimension of measure invariant with respect to Wazewska partial differential equation”, J. Differential Equations 196, 448-465, (2004).
[9] Lasota K. , “Turbulent solution of first order partial differential equation”, J. Differential Equation 58, 1, 1-14 (1985).
[10]  Rudnick R. , “Invariant measures for the flow a first order partial equation”, Ergodic Theory and Dynamical System, 5, 3, 437-443 (1985).
[11]  Abbood, Mohaimen M. , Ebrahim, Hassan H., Al-Fayadh, Ali & Obaid, Ahmed J. () Measure defined on &Gamma;&ndash;algebra and some of their generalizations, Journal of Interdisciplinary Mathematics, 1-7, DOI: 10.47974/JIM-1502.
[12]  Al-Ameedee, Sarah A. & Obaid, Ahmed J. Sandwich results of meromorphic multivalent functions defined by multiplier transform, Journal of Interdisciplinary Mathematics, OnlineFirst : Latest Articles, 1-8 (2023), DOI: 10.47974/JIM-1484. 

Views: 195Downloads: 74Citations: 0