Third, we determine the concavity of all scalar solutions in the nonnegative quadrant.
M. S. Calder, D. Siegel 2011, 'Properties of the Lindemann mechanism in phase space', Electronic Journal of Qualitative Theory of Differential Equationshttp://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=558. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The basis functions have nonnegative instantaneous frequencies so that the expansions make physical sense.
Xiaona Cui, Suxia Yao 2014, 'Expansions of Functions Based on Rational Orthogonal Basis with Nonnegative InstantaneousFrequencies', Journal of Applied Mathematicshttp://dx.doi.org/10.1155/2014/526940. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Positive systems are characterized by nonnegative restriction on systems' variables.
Youmei Zhang, Qingling Zhang, Tamaki Tanaka 2013, 'H∞ Control for Linear Positive Discrete-Time Systems', Journal of Applied Mathematicshttp://dx.doi.org/10.1155/2013/576379. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
In this paper, we outline a method for constructing nonnegative scaling vectors on the interval.
Patrick J. Van Fleet, David K. Ruch 2013, 'Nonnegative Scaling Vectors on the Interval', Axiomshttp://www.mdpi.com/2075-1680/2/3/371. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
If desired, the scaling vector can be constructed so that its components are nonnegative.
Patrick J. Van Fleet, David K. Ruch 2013, 'Nonnegative Scaling Vectors on the Interval', Axiomshttp://www.mdpi.com/2075-1680/2/3/371. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We show that the solutions of the proposed model are nonnegative and ultimately bounded.
A. M. Elaiw, E. K. Elnahary, A. A. Raezah 2018, 'Effect of cellular reservoirs and delays on the global dynamics of HIV', Advances in Difference Equationshttp://link.springer.com/article/10.1186/s13662-018-1523-0. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Nonnegative and compartmental dynamical system models are widespread in biological, physiological, and pharmacological sciences.
Jayanthy Ramakrishnan, James M. Bailey, Wassim M. Haddad, VijaySekhar Chellaboina 2004, 'On monotonicity of solutions of discrete-time nonnegative and compartmental dynamicalsystems', Advances in Difference Equationshttp://dx.doi.org/10.1155/S1687183904310095. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The proposed method firstly constructs a sparse and data-adaptive graph with nonnegative constraint.
Zhan Wang, Qiuqi Ruan, Gaoyun An 2015, 'Face Recognition Using Double Sparse Local Fisher Discriminant Analysis', Mathematical Problems in Engineeringhttp://dx.doi.org/10.1155/2015/636928. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
In particular, we describe all khyperideals of the semihyperring of the nonnegative integers.
H. Hedayati, R. Ameri 2005, 'Construction of k-Hyperideals by P-Hyperoperations', Ratio Mathematicahttp://eiris.it/ojs/index.php/ratiomathematica/article/view/106. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)