On a New Iterative Scheme without Memory with Optimal Eighth Order by M. Sharifi, S. Karimi Vanani, F. Khaksar Haghani, M. Arab, S. Shateyi

“…The purpose of this paper is to derive and discuss a three-step iterative expression for solving nonlinear equations. In fact, we derive a derivative-free form for one of the existing optimal eighth-order methods and preserve its convergence order. …”
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Superfluidity in the stochastic limit by L. Accardi, S. V. Kozyrev

“…Starting from the usual Hamiltonian describing the interaction between the Bose condensate and the normal phase, we prove the existence of superfluidity in the stochastic limit and deduce a nonlinear (quadratic) kinetic equation describing the evolution of the density of superfluid liquid.…”
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A Class of Fractional p-Laplacian Integrodifferential Equations in Banach Spaces by Yiliang Liu, Liang Lu

“…We study a class of nonlinear fractional integrodifferential equations with p-Laplacian operator in Banach space. …”
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Benjamin-Ono Equation on a Half-Line by Nakao Hayashi, Elena I. Kaikina

“…We study traditionally important problems of the theory of nonlinear partial differential equations, such as global in time existence of solutions to the initial-boundary value problem and the asymptotic behavior of solutions for large time.…”
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The Existence of Positive Solution for Semilinear Elliptic Equations with Multiple an Inverse Square Potential and Hardy-Sobolev Critical Exponents by M. Khiddi

“…Via the concentration compactness principle, delicate energy estimates, the strong maximum principle, and the Mountain Pass lemma, the existence of positive solutions for a nonlinear PDE with multi-singular inverse square potentials and critical Sobolev-Hardy exponent is proved. …”
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Existence Results for Fractional Differential Equations with Separated Boundary Conditions and Fractional Impulsive Conditions by Xi Fu, Xiaoyou Liu

“…By means of the Schaefer fixed point theorem, Banach fixed point theorem, and nonlinear alternative of Leray-Schauder type, some existence results are obtained. …”
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Locally Lipschitz Composition Operators in Space of the Functions of Bounded κΦ-Variation by Odalis Mejía, Nelson José Merentes Díaz, Beata Rzepka

“…We give a necessary and sufficient condition on a function h:R→R under which the nonlinear composition operator H, associated with the function h, Hu(t)=h(u(t)), acts in the space κΦBV[a,b] and satisfies a local Lipschitz condition.…”
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The Effect of Shear Sliding of Vertical Contraction Joints on Seismic Response of High Arch Dams with Fine Finite Element Model by Shengshan Guo, Jianxin Liao, Hailong Huang, Hui Liang, Deyu Li, Houqun Chen, Aijing Zhang, Yifu Tian

“…Based on the Lagrange multiplier method, a contact model considering the manner of independent cantilever dead load type with no-slip condition and relative sliding condition is proposed to model the nonlinearities of vertical contraction joins, which is special to the nonlinear analysis of arch dams considering the manner of dead load type. …”
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Study on the Creep Constitutive Model of a Sandstone Rock under the Water-Rock Interaction by Zuosen Luo, Zuoxiang Zhu, Jianlin Li, Lehua Wang, Qiao Jiang, Jingyu Zhang, Eleyas Assefa, Huafeng Deng

“…Combined with the author’s previous research on the triaxial creep characteristics of sandstone under water-rock interaction, a nonlinear creep constitutive model was established to capture the degradation behavior of a sandstone rock due to cyclic wetting and drying of the reservoir water. …”
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Analytical Analysis of Effects of Buoyancy, Internal Heat Generation, Magnetic Field, and Thermal Radiation on a Boundary Layer over a Vertical Plate with a Convective Surface Boun... by Solomon Bati Kejela, Mitiku Daba Firdi

“…In the analysis, it is assumed that the left surface of the plate is in contact with a hot fluid, whereas a stream of cold fluid flows steadily over the right surface, and the heat source decays exponentially outwards from the surface of the plate. The governing nonlinear partial differential equations have been transformed into a set of coupled nonlinear ordinary differential equations with the help of similarity transformation which were solved analytically by applying the optimal homotopy asymptotic method. …”
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A Novel Power-Driven Grey Model with Whale Optimization Algorithm and Its Application in Forecasting the Residential Energy Consumption in China by Peng Zhang, Xin Ma, Kun She

“…By improving the grey action quantity of traditional grey model with an exponential time term, a novel power-driven grey model is proposed to forecast energy consumption as reference data for decision makers. The nonlinear parameter of power-driven grey action quantity is a crucial factor to influence the prediction precision. …”
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Flight Dynamics Modeling and Dynamic Stability Analysis of Tilt-Rotor Aircraft by Ke Lu, Chunsheng Liu, Chunhua Li, Renliang Chen

“…First, a nonlinear tilt-rotor aircraft flight dynamics model is developed. …”
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Product Replacement Policy in a Production Inventory Model with Replacement Period-, Stock-, and Price-Dependent Demand by Subhajit Das, Amalesh Kumar Manna, Emad E. Mahmoud, Kholod M. Abualnaja, Abdel-Haleem Abdel-Aty, Ali Akbar Shaikh

“…This work also leads two vital assumptions: (i) customers’ demand is depending on the replacement period, stock level, and selling price of the product and (ii) the rate of replacement loss of manufacturer’s capital is dependent on the replacement period, and it is a nonlinear function. Since the corresponding optimization problem is highly nonlinear, we have solved it by MATHEMATICA software. …”
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Asymmetric Exchange Rate Pass-Through to Consumer Prices in Ghana: Evidence from EMD-NARDL Approach by Camara K. Obeng, Siaw Frimpong, Gilbert K. Amoako, Samuel K. Agyei, Emmanuel Asafo-Adjei, Anokye M. Adam

“…This paper analyses the US dollar exchange rate pass-through to consumer prices in Ghana from January 1990 to January 2020 using the empirical mode decomposition-based nonlinear autoregressive distributed lags model (EMD-NARDL). …”
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Modeling Multimedia Ad Exposure: The Role of Low-Level Audiovisual Features by Urban Burnik, Andrej Kosir, Gregor Strle

“…The goal is to understand the role of these features in predicting exposure and explore whether incorporating nonlinear relationships based on interactions can improve modeling. …”
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Analysis of coupled acoustic and drift modes leading to modons in Maxwellian and non-Maxwellian dusty plasma by Zahida Ehsan, Nazia Batool, V. M. Lashkin

“…Linear and nonlinear acoustic and drift waves in a confined inhomogeneous dusty plasma are investigated here. …”
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Advancements in Acoustic Cavitation Modelling: Progress, Challenges, and Future Directions in Sonochemical Reactor Design by T.Joyce Tiong, Jin Kiat Chu, Khang Wei Tan

“…In addition to bubble-induced cavitation, the review addresses nonlinear wave propagation in the absence of bubbles, highlighting phenomena such as harmonic generation and shock wave formation. …”
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Analytical Investigation of Laminar Viscoelastic Fluid Flow over a Wedge in the Presence of Buoyancy Force Effects by B. Rostami, M. M. Rashidi, P. Rostami, E. Momoniat, N. Freidoonimehr

“…The highly nonlinear forms of momentum and energy equations are solved analytically. …”
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Analysis, Filtering, and Control for Takagi-Sugeno Fuzzy Models in Networked Systems by Sunjie Zhang, Zidong Wang, Jun Hu, Jinling Liang, Fuad E. Alsaadi

“…The fuzzy logic theory has been proven to be effective in dealing with various nonlinear systems and has a great success in industry applications. …”
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Adaptive Sliding Mode Control of Mobile Manipulators with Markovian Switching Joints by Liang Ding, Haibo Gao, Kerui Xia, Zhen Liu, Jianguo Tao, Yiqun Liu

“…It has been shown that the adaptive control problem for the Markovian jump nonlinear systems is solvable if a set of coupled linear matrix inequalities (LMIs) have solutions. …”
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