Some Upper Matrix Bounds for the Solution of the Continuous Algebraic Riccati Matrix Equation by Zübeyde Ulukök, Ramazan Türkmen

“…These new bounds are less restrictive and provide more efficient results in some cases.…”
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Permanence and Extinction for a Nonautonomous Malaria Transmission Model with Distributed Time Delay by Xiaohong Zhang, Jianwen Jia, Xinyu Song

“…We establish some sufficient conditions on the permanence and extinction of the disease by using inequality analytical techniques. By a Lyapunov functional method, we also obtain some sufficient conditions for global asymptotic stability of this model. …”
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A Version of Uncertainty Principle for Quaternion Linear Canonical Transform by Mawardi Bahri, Resnawati, Selvy Musdalifah

“…We also discuss the generalization of the Hausdorff-Young inequality in the QLCT domain.…”
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Existence and Uniqueness Results for a Class of Fractional Integro-Stochastic Differential Equations by Ayed. R. A. Alanzi, Shokrya S. Alshqaq, Raouf Fakhfakh, Abdellatif Ben Makhlouf

“…The objective of this paper is to demonstrate the existence and uniqueness (EU) of solutions to a class of Fractional Integro-Stochastic Differential Equations (FISDEs) by utilizing the fixed-point technique (FPT) and stochastic techniques. …”
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Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise by Yangrong Li, Hongyong Cui

“…By making use of Sobolev embeddings and Gialiardo-Nirenberg inequality we obtain the existence and upper semicontinuity of the pullback attractor in L2(I) for the equation. …”
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Synchronization of Time Delayed Fractional Order Chaotic Financial System by Weiwei Zhang, Jinde Cao, Ahmed Alsaedi, Fuad Eid S. Alsaadi

“…The research on a time delayed fractional order financial chaotic system is a hot issue. In this paper, synchronization of time delayed fractional order financial chaotic system is studied. …”
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Improved Robust Stability Criteria of Uncertain Neutral Systems with Mixed Delays by Zixin Liu, Shu Lü, Shouming Zhong, Mao Ye

“…Based on Lyapunov stable theory, by constructing a new Lyapunov-Krasovskii function, some new stable criteria are obtained. …”
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Atomic decompositions of Lorentz martingale spaces and applications by Jiao Yong, Peng Lihua, Liu Peide

“…Using this sufficient condition, we investigate some inequalities on Lorentz martingale spaces. Finally we discuss the restricted weak-type interpolation, and prove the classical Marcinkiewicz interpolation theorem in the martingale setting.…”
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C1-Almost Periodic Solutions of BAM Neural Networks with Time-Varying Delays on Time Scales by Yongkun Li, Lili Zhao, Li Yang

“…On a new type of almost periodic time scales, a class of BAM neural networks is considered. …”
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Some Properties of Certain Multivalent Analytic Functions Involving the Cătas Operator by E. A. Elrifai, H. E. Darwish, A. R. Ahmed

“…The results presented here would provide extensions of those given in earlier works. Several other new results are also obtained.…”
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Robust Stabilization of Nonlinear Fractional Order Interconnected Systems Based on T-S Fuzzy Model by Yuting Li

“…Then, a sufficient condition is given in the format of linear matrix inequalities. Simulation example is given to validate the effectiveness of the approach.…”
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On weak laws of large numbers for maximal partial sums of pairwise independent random variables by Thành, Lê Vǎn

“…The method allows us to avoid using the Kolmogorov maximal inequality. As an application, a weak law of large numbers for maximal partial sums of pairwise independent random variables under a uniform integrability condition is also established. …”
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Global Stability of Almost Periodic Solution of a Class of Neutral-Type BAM Neural Networks by Tetie Pan, Bao Shi, Jian Yuan

“…By employing fixed-point theorem, the exponential dichotomy, and differential inequality techniques, we obtain some sufficient conditions to insure the existence and globally exponential stability of almost periodic solution. …”
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Indocyanine green faecal excretion holds potential for diagnosis of neonatal biliary atresia by Mika Murayama, Toshihiro Yasui, Mikihiro Inoue, Shunsuke Watanabe, Atsuki Naoe, Yasuhiro Kondo, Tomonori Tsuchiya, Tatsuya Suzuki

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Existence and Stability of Square-Mean S-Asymptotically Periodic Solutions to a Fractional Stochastic Diffusion Equation with Fractional Brownian Motion by Jia Mu, Jiecuo Nan, Yong Zhou

“…In this paper, a generalized Gronwall inequality is demonstrated, playing an important role in the study of fractional differential equations. …”
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On Approximations by Trigonometric Polynomials of Classes of Functions Defined by Moduli of Smoothness by Nimete Sh. Berisha, Faton M. Berisha, Mikhail K. Potapov, Marjan Dema

“…In order to prove our results, we make use of certain recent reverse Copson-type and Leindler-type inequalities.…”
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Stability Analysis for Uncertain Neural Networks of Neutral Type with Time-Varying Delay in the Leakage Term and Distributed Delay by Qi Zhou, Xueying Shao, Jin Zhu, Hamid Reza Karimi

“…Both the parameter uncertainty and the generalized activation functions are considered in this paper. New stability results are achieved by constructing an appropriate Lyapunov-Krasovskii functional and employing the free weighting matrices and the linear matrix inequality (LMI) method. …”
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L’émergence par la créativité au Cap by Thomas Radovcic

“…Nonetheless, whereas social, spatial and racial inequalities inherited from the apartheid era are still persisting, this strategy aims to strengthen Cape Town’s assets to internationally compete with other cities. …”
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Boundary control problem with an infinite number of variables by Hussain A. El-Saify

“…Using a previous result by Gali and El-Saify (1983) and the theory of Kotarski (1989), and Lions (1971), we formulate the boundary control problem for a system governed by Neumann problem involving selfadjoint elliptic operator of 2ℓth order with an infinite number of variables. The inequalities which characterize the optimal control in terms of the adjoint system are obtained, it is studied in order to construct algorithms attainable to numerical computations for the approximation of the control.…”
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Exact Null Controllability of KdV-Burgers Equation with Memory Effect Systems by Rajagounder Ravi Kumar, Kil To Chong, Jong Ho Park

“…The control is distributed along with subdomain ω⊂Ω and the external control acts on the key role of observability inequality with memory. This description finally showed the exact null controllability guaranteeing the stability.…”
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