Iterative Reproducing Kernel Method for Solving Second-Order Integrodifferential Equations of Fredholm Type by Iryna Komashynska, Mohammed AL-Smadi

“…We present an efficient iterative method for solving a class of nonlinear second-order Fredholm integrodifferential equations associated with different boundary conditions. …”
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Almost Automorphic Solutions to Nonautonomous Stochastic Functional Integrodifferential Equations by Li Xi-liang, Han Yu-liang

“…This paper concerns the square-mean almost automorphic solutions to a class of abstract semilinear nonautonomous functional integrodifferential stochastic evolution equations in real separable Hilbert spaces. …”
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A Regularity Criterion for the Navier-Stokes Equations in the Multiplier Spaces by Xiang'ou Zhu

“…We exhibit a regularity condition concerning the pressure gradient for the Navier-Stokes equations in a special class. It is shown that if the pressure gradient belongs to 𝐿2/(2−𝑟)̇𝐻((0,𝑇);ℳ(𝑟(ℝ3̇𝐻)→−𝑟(ℝ3))), where ̇𝐻ℳ(𝑟(ℝ3̇𝐻)→−𝑟(ℝ3)) is the multipliers between Sobolev spaces whose definition is given later for 0<𝑟<1, then the Leray-Hopf weak solution to the Navier-Stokes equations is actually regular.…”
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A Simple Epidemic Model with Surprising Dynamics by F. Berezovskaya, G. Karev, Baojun Song, Carlos Castillo-Chavez

“…Four re-parameterized quantities the basicdemographic reproductive number ($\R_d$), the basic epidemiologicalreproductive number ($\R_0$), the ratio ($\nu$) between the averagelife spans of susceptible and infective class, and the relativefecundity of infectives ($\theta$), are utilized in qualitativeanalysis. …”
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On the Deformations and Derivations of n-Ary Multiplicative Hom-Nambu-Lie Superalgebras by Baoling Guan, Liangyun Chen, Yao Ma

“…We introduce the relevant concepts of n-ary multiplicative Hom-Nambu-Lie superalgebras and construct three classes of n-ary multiplicative Hom-Nambu-Lie superalgebras. …”
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The turnpike property for dynamic discrete time zero-sum games by Alexander J. Zaslavski

“…We consider a class of dynamic discrete-time two-player zero-sum games. …”
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The Higher Order Riesz Transform and BMO Type Space Associated with Schrödinger Operators on Stratified Lie Groups by Yu Liu, Jianfeng Dong

“…Let -Δ be the sub-Laplacian on G and W≢0 a nonnegative potential belonging to certain reverse Hölder class Bs for s≥Q/2. Let L=-Δ+W be a Schrödinger operator on the stratified Lie group G. …”
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Transformation of CLF to ISS-CLF for Nonlinear Systems with Disturbance and Construction of Nonlinear Robust Controller with L2 Gain Performance by Keizo Okano, Kojiro Hagino, Hidetoshi Oya

“…A new nonlinear control law for a class of nonlinear systems with disturbance is proposed. …”
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La peur du prolétaire et les paradoxes du socialisme shavien dans Widowers’ Houses by Stéphane Guy

“…As a socialist reformer and critic of revolutionary Marxism, the Fabian Bernard Shaw was intent on entrusting the middle-class bourgeoisie with the march to collectivism. …”
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A singularly perturbed SIS model with age structure by Jacek Banasiak, Eddy Kimba Phongi, MirosŁaw Lachowicz

“…Using the Tikhonov theorem we prove that for certain classes of initial conditions the nonlinear structured SIS model can be approximated with very good accuracy by lower dimensional linear models.…”
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Fractional powers of hyponormal operators of Putnam type by Toka Diagana

“…As an application, a large class of the Schrödinger's operator with a complex potential Q∈Lloc1(ℝd)+L∞(ℝd) is considered.…”
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Singular Value Decomposition-Based Method for Sliding Mode Control and Optimization of Nonlinear Neutral Systems by Heli Hu, Dan Zhao, Qingling Zhang

“…The sliding mode control and optimization are investigated for a class of nonlinear neutral systems with the unmatched nonlinear term. …”
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Tilings in topological spaces by F. G. Arenas

“…We give some generalizations for topological spaces of some results known for certain classes of tilings of topological vector spaces.…”
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Evaluation of Petunia Cultivars as Bedding Plants for Florida by Richard O. Kelly, Zhanao Deng, Brent K. Harbaugh

“…Includes a list of high performing cultivars, a table with detailed performance data and digital images of cultivars by class. Published by the UF Department of Environmental Horticulture, October 2007. …”
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Observer-Based Fuzzy Control for Memristive Circuit Systems by Qian Ye, Xuyang Lou

“…This paper proposes an observer-based fuzzy control scheme for a class of memristive chaotic circuit systems. First, the Takagi-Sugeno fuzzy model is adopted to reconstruct the nonlinear chaotic circuit system. …”
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Relativistic wave equations with fractional derivatives and pseudodifferential operators by Petr Závada

“…We study the class of the free relativistic covariant equations generated by the fractional powers of the d′Alembertian operator (□1/n). …”
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Entropy numbers of embeddings of function spaces with Muckenhoupt weights, III. Some limiting cases by Dorothee D. Haroske, Leszek Skrzypczak

“…We study compact embeddings for weighted spaces of Besov and Triebel-Lizorkin type where the weight belongs to some Muckenhoupt Ap class. This extends our previous results [25] to more general weights of logarithmically disturbed polynomial growth, both near some singular point and at infinity. …”
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COMPUTER ALGORITHMS FOR EVALUATION OF SPARKING INDICATED BY OPTOELECTRONIC SPARKING ANALYZER by W. Zelinski

“…Optoelectronic sparking analyzer provides the possibility to realize a number of algorithms that permit to convert indicated light signals containing information on number of sparkings in the measuring cycle and their intensity divided in ten classes. The paper presents the selected sparking indices converted with the help of a computer and these indices make it possible to evaluate sparking level of separate commutator sectors by calculating average values in the whole measuring cycle of brush-commutator contact in dc machines. …”
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Positive Solutions for BVP of Fractional Differential Equation with Integral Boundary Conditions by Min Li, Jian-Ping Sun, Ya-Hong Zhao

“…In this paper, we consider a class of boundary value problems of nonlinear fractional differential equation with integral boundary conditions. …”
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Convergence Theorems for Right Bregman Strongly Nonexpansive Mappings in Reflexive Banach Spaces by H. Zegeye, N. Shahzad

“…Our theorems complement some recent results that have been proved for this important class of nonlinear mappings.…”
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