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On a Lyapunov-Type Inequality for Control of a ψ -Model Thermostat and the Existence of Its Solutions.
- Source :
-
Mathematics (2227-7390) . Nov2022, Vol. 10 Issue 21, p4023. 11p. - Publication Year :
- 2022
-
Abstract
- In this paper, a new structure of an applied model of thermostat is defined using the generalized ψ -operators with three-point boundary conditions. Some useful properties of the relevant Green's function are established, and based on these properties, the Lyapunov-type inequality is constructed for the given extended ψ -model thermostat with the help of Jensen's inequality. By defining mild solutions for such an extended system, the existence and non-existence conditions are discussed. [ABSTRACT FROM AUTHOR]
- Subjects :
- *THERMOSTAT
*JENSEN'S inequality
*BOUNDARY value problems
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 10
- Issue :
- 21
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 160207440
- Full Text :
- https://doi.org/10.3390/math10214023