Double Periodic Wave Solutions of the (2 + 1)-Dimensional Sawada-Kotera Equation by Zhonglong Zhao, Yufeng Zhang, Tiecheng Xia

“…Based on a general Riemann theta function and Hirota’s bilinear forms, we devise a straightforward way to explicitly construct double periodic wave solution of (2+1)-dimensional nonlinear partial differential equation. The resulting theory is applied to the (2+1)-dimensional Sawada-Kotera equation, thereby yielding its double periodic wave solutions. …”
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CRE Solvability, Exact Soliton-Cnoidal Wave Interaction Solutions, and Nonlocal Symmetry for the Modified Boussinesq Equation by Wenguang Cheng, Biao Li

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Monotone Iterative Technique for the Initial Value Problems of Impulsive Evolution Equations in Ordered Banach Spaces by He Yang

“…This paper deals with the existence and uniqueness of mild solutions for the initial value problems of abstract impulsive evolution equations in an ordered Banach space E:u′(t)+Au(t)=f(t,u(t),Gu(t)), t∈[0,a], t≠tk, Δu|t=tk=Ik(u(tk)), 0<t1<t2<⋯<tm<a, u(0)=u0, where A:D(A)⊂E→E is a closed linear operator, and f:[0,a]×E×E→E is a nonlinear mapping. Under wide monotone conditions and measure of noncompactness conditions of nonlinearity f, some existence and uniqueness results are obtained by using a monotone iterative technique in the presence of lower and upper solutions.…”
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Modeling and Simulation of Real Estate Valuation Based on Genetic Neural Network Model by Shuli Shen

“…China’s real estate market is developing rapidly, but the house price is abnormal. The nonlinear relationship between housing characteristics and real estate value is difficult to calculate, resulting in the difficulty of house price prediction. …”
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Inverse Optimal Attitude Stabilization of Flexible Spacecraft with Actuator Saturation by Chutiphon Pukdeboon

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Existence Results of Nonlocal Fractional Integro-Neutral Differential Inclusions with Infinite Delay by Madeaha Alghanmi, Shahad Alqurayqiri

“…Then, sufficient criteria for the existence of solutions are established for the convex case of the given problem using the nonlinear Leray–Schauder alternative type, while Covitz and Nadler’s theorem is applied for nonconvex multivalued functions. …”
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Rapid Methods for Transfer Function Coefficient Determination of Boiler Superheater Sections under Various Loads by G. T. Kulakov, Yu. V. Makosko, M. L. Korzoun, А. A. Salej

“…The rapid methods make it possible to obtain analytical nonlinear dependences pertaining to changes of superheater transfer function parameters through the channel of regulatory impact, that provides parameter optimization of the dynamic knob injection adjustment throughout the whole range of power block load changes.…”
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On the Multiplicity of Solutions for the Discrete Boundary Problem Involving the Singular ϕ-Laplacian by Zihua Qiu

“…We show that, if the nonlinear term oscillates suitably at the origin, there exists a sequence of pairwise distinct nontrivial solutions with the norms tend to zero. …”
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On the Solutions of a System of Third-Order Rational Difference Equations by A. M. Alotaibi, M. S. M. Noorani, M. A. El-Moneam

“…The structure of the solutions for the system nonlinear difference equations xn+1=ynyn-2/(xn-1+yn-2), yn+1=xnxn-2/(±yn-1±xn-2), n=0,1,…, is clarified in which the initial conditions x-2, x-1, x0, y-2, y-1, y0 are considered as arbitrary positive real numbers. …”
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Study of Hybrid Problems under Exponential Type Fractional-Order Derivatives by Mohammed S. Abdo, Sahar Ahmed Idris, M. Daher Albalwi, Tomadir Ahmed Idris

“…Then, we apply Dhage’s nonlinear alternative to the Schaefer type to prove the existence results. …”
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On Kadison-Schwarz Type Quantum Quadratic Operators on by Farrukh Mukhamedov, Abduaziz Abduganiev

“…Moreover, we study dynamics of an associated nonlinear (i.e., quadratic) operators acting on the state space of .…”
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HEMT Noise Modeling for D Band Low Noise Amplifier Design by Ao Zhang, Jianjun Gao

“…An improved EEHEMT nonlinear model with noise model has been developed in this paper. …”
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Bifurcation Analysis and Single Traveling Wave Solutions of the Variable-Coefficient Davey–Stewartson System by Tianyong Han, Jiajin Wen, Zhao Li

“…By employing the traveling wave transformation, the variable-coefficient Davey–Stewartson system is reduced to two-dimensional nonlinear ordinary differential equations. On the one hand, we use the bifurcation theory of planar dynamical systems to draw the phase diagram of the variable-coefficient Davey–Stewartson system. …”
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Response Solutions for a Singularly Perturbed System Involving Reflection of the Argument by Shanliang Zhu, Shufang Zhang, Xinli Zhang, Qingling Li

“…In this paper, the existence and uniqueness of response solutions, which has the same frequency ω with the nonlinear terms, are investigated for a quasiperiodic singularly perturbed system involving reflection of the argument. …”
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On ψ-Caputo Partial Hyperbolic Differential Equations with a Finite Delay by Mohammed S. Abdo, Mohammed Zakarya, Emad E. Mahmoud, Saeed M. Ali, Abdel-Haleem Abdel-Aty

“…To be precise, we investigate the existence and uniqueness results based on the nonlinear alternative of the Leray-Schauder type and Banach contraction mapping. …”
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Existence of Positive Solutions of a Discrete Elastic Beam Equation by Ruyun Ma, Jiemei Li, Chenghua Gao

“…We consider the existence of positive solutions of the nonlinear boundary value problems of fourth-order difference equations Δ4u(t−2)−ra(t)f(u(t))=0, t∈T2, u(1)=u(T+1)=Δ2u(0)=Δ2u(T)=0, where r is a constant, a:T2→(0,∞),  and  f:[0,∞)→[0,∞) is continuous. …”
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Group Analysis Explicit Power Series Solutions and Conservation Laws of the Time-Fractional Generalized Foam Drainage Equation by Maria Ihsane El Bahi, Khalid Hilal

“…With the help of the obtained Lie point symmetries, the equation is reduced to nonlinear fractional ordinary differential equations (NLFODEs) which contain the Erdélyi–Kober fractional differential operator. …”
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Safe Control for Spiral Recovery of Unmanned Aerial Vehicle by Chang-Jian Ru, Rui-Xuan Wei

“…Then, based on control scheduling of state variables and nonlinear dynamic inversion control laws, the spiral recovery controller is designed to accomplish guidance and control of spiral recovery. …”
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Collection policy refining method for threat monitoring in complex network environment by Fenghua LI, Zifu LI, Ling LI, Ming ZHANG, Kui GENG, Yunchuan GUO

“…Personalized collect policy is one of the necessary conditions for effectively monitoring threats in the complex network environment.However,differences in security requirements and threat types make it difficult to effectively generate personalized collect policy.To address the above problem,a collection policy automatic refinement method was designed.Firstly,a hierarchical model of collection policy was proposed.Then,by transforming the policy refinement into a nonlinear optimization problem,a genetic algorithm was designed to balance between collection revenue and collection cost.Finally,simulation experiments verify that according to the requirements of high-level monitoring,the acquisition scheme can be automatically generated.…”
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Deformation of the Cooling Vessel's Shell by Katarina Pisačić, Mario Pintarić

“…This paper will present the procedure for calculating the internal volume obtained by deforming the outer shell of the cooling vessel. A nonlinear finite element analysis was conducted using the Ansys software. …”
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