Uniform Attractors for Nonclassical Diffusion Equations with Memory by Yongqin Xie, Yanan Li, Ye Zeng

“…After that, the existence and the structure of a compact uniform attractor for the nonautonomous nonclassical diffusion equation with fading memory are proved under the following conditions: the nonlinearity f satisfies the polynomial growth of arbitrary order and the time-dependent forcing term g is only translation-bounded in Lloc2(R;L2(Ω)).…”
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Lie Symmetry Analysis for the General Classes of Generalized Modified Kuramoto-Sivashinsky Equation by Rong Qi, Muhammad Mobeen Munir, Nazish Younas, Muhammad Idrees, Jia-Bao Liu

“…Lie symmetry analysis of differential equations proves to be a powerful tool to solve or at least reduce the order and nonlinearity of the equation. Symmetries of differential equations is the most significant concept in the study of DE’s and other branches of science like physics and chemistry. …”
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ESO-Based Non-Singular Terminal Filtered Integral Sliding Mode Backstepping Control for Unmanned Surface Vessels by Jianping Yuan, Zhuohui Chai, Qingdong Chen, Zhihui Dong, Lei Wan

“…Aiming at the control challenges faced by unmanned surface vessels (USVs) in complex environments, such as nonlinearities, parameter uncertainties, and environmental perturbations, we propose a non-singular terminal integral sliding mode control strategy based on an extended state observer (ESO). …”
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Quantification of external disturbance forces in sliding microwire by Fazlar Rahman, M.A. Salam Akanda

“…Analytical assessment is also complex because of multi-physics involvement, nonlinearity of forces, and a lack of suitable mathematical models. …”
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SYNTHESIS METHODS OF ALGEBRAIC NORMAL FORM OF MANY-VALUED LOGIC FUNCTIONS by A. V. Sokolov, O. N. Zhdanov, O. A. Ayvazian

“…The article also introduces the definition of algebraic degree of nonlinearity of the functions of many-valued logic and the S-box, based on the principles of many-valued logic. …”
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DISCRETENESS ERRORS OF FREQUENCY LEVEL GAUGES AND METHODS OF THEIR MINIMIZATION by V. B. Goncharov, V. D. Ivchenko

“…The report examines the main causes of errors in the measurement of the level of rocket fuel components by variable frequency sensors - the speed of the wave propagation, the period of modulation, the nonlinearity of the amplitude-frequency characteristics of the generator and circuits, frequency deviation and difference frequency. …”
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Nonexistence of Global Solutions for Coupled System of Pseudoparabolic Equations with Variable Exponents and Weak Memories by Kh. Zennir, H. Dridi, S. Alodhaibi, S. Alkhalaf

“…New here is the case of variables of nonlinearity p and q which make the problem has a scientific interest.…”
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Existence of Positive Bounded Solutions of Semilinear Elliptic Problems by Faten Toumi

“…This paper is concerned with the existence of bounded positive solution for the semilinear elliptic problem Δu=λp(x)f(u) in Ω subject to some Dirichlet conditions, where Ω is a regular domain in ℝn (n≥3) with compact boundary. The nonlinearity f is nonnegative continuous and the potential p belongs to some Kato class K(Ω). …”
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Bargmann Type Systems for the Generalization of Toda Lattices by Fang Li, Liping Lu

“…Under a constraint between the potentials and eigenfunctions, the nonlinearization of the Lax pairs associated with the discrete hierarchy of a generalization of the Toda lattice equation is proposed, which leads to a new symplectic map and a class of finite-dimensional Hamiltonian systems. …”
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Fuzzy Adaptive Variable Structure Control of Second-Order Robotic Manipulators with Dead Zones by Songyu Wang, Xianmin Hou

“…Our controller is effective for the system with or without sector nonlinearity. Finally, a simulation example is presented to illustrate the correctness of the theoretical derivation.…”
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Basic stage structure measure valued evolutionary game model by John Cleveland

“…Similar to [12] we also have the unifying of discrete and continuous systems and the containment of the classic nonlinearities.…”
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Robust Stability of a Class of Uncertain Lur'e Systems of Neutral Type by W. Weera, P. Niamsup

“…This paper deals with the problem of stability for a class of Lur’e systems with interval time-varying delay and sector-bounded nonlinearity. The interval time-varying delay function is not assumed to be differentiable. …”
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Ground-state solutions of a Hartree–Fock type system involving critical Sobolev exponent by Xiaoli Zhu, Zushun Min

“…Subsequently, depending on the internal parameters of coupled nonlinearities, whether the ground state is semi-trivial or vectorial is proved.…”
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APPLICATIONS OF QUASI-STATIC METHOD IN STATIC FAILURE SIMULATION FOR LARGE AIRCRAFT WINGBOX by YU Ming, LING XiaoTao, WANG QianPing

“…The strength problems of large-aircraft wingbox is complex.Studying the bearing characteristics of wingbox,plays an important role in wing structure refined design,weight optimization and development cost saving.Based on the explicit time integration,this paper simulated the static loading process of typical wingbox section until failure in quasi-static limits,while taking the material nonlinearity and damage characteristics into consideration.Both the strain distribution and the strength prediction agree well with the experimental results.The study provides a reference for evaluating the ultimate strength of aircraft assembly.…”
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Convex Sweeping Processes with Noncompact Perturbations and with Delay in Banach Spaces by A. G. Ibrahim, F. Aladsani

“…The second is to give a technique to overcome the arising problem from the nonlinearity of the normalized mappings, when we deal with sweeping processes with noncompact valued perturbations and associated with a multivalued function depending on time and state.…”
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Global existence and uniqueness of classical solutions for a generalized quasilinear parabolic equation with application to a glioblastoma growth model by Zijuan Wen, Meng Fan, Asim M. Asiri, Ebraheem O. Alzahrani, Mohamed M. El-Dessoky, Yang Kuang

“…Under somepracticable regularity criteria on diffusion item and nonlinearity, weestablish the local existence and uniqueness of classical solutionsbased on a contraction mapping. …”
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Multiplicity results for asymmetric boundary value problems with indefinite weights by Francesca Dalbono

“…We prove existence and multiplicity of solutions, with prescribed nodal properties, to a boundary value problem of the form u″+f(t,u)=0, u(0)=u(T)=0. The nonlinearity is supposed to satisfy asymmetric, asymptotically linear assumptions involving indefinite weights. …”
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Linear Control of Fractional-Order Financial Chaotic Systems with Input Saturation by Junhai Luo, Guanjun Li, Heng Liu

“…The saturation problem is tackled by using Gronwall-Bellman lemma and a memoryless nonlinearity function. Based on Gronwall inequality and Laplace transform technique, two sufficient conditions are achieved for the asymptotical stability of the fractional-order financial chaotic systems with fractional orders 0 < α ≤ 1 and 1 < α < 2, respectively. …”
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Mathematical and Experimental Simulation of Operating Modes of Capillary Emitter of Electrostatic Colloidal Microthruster by S. V. Redko, E. B. Chubenko, V. P. Bondarenko, I. V. Nikiforov, M. S. Krakov

“…The main factor on which the magnitude of the maximum and its position depend is the degree of nonlinearity of the coefficient responsible for the acceleration of ions at the outlet of the capillary.…”
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Prediction of Adhesively Bonded Polyurethane-to-Steel Double Butt Joint Failure Using Uncertainty Analysis by Xiaofu Li, Chuanpeng Ji, Zhi Zhang, Shiwei Zhang, Hongqin Liu, Shulin Wang

“…However, damage in the mode of adhesive failure and cohesive failure, as well as the adherend failure, could still occur, and it has been realized that the reliability of the adhesively bonded joint depends on numerous complex and even nonlinearly interacting factors. Consequently, the prediction of load-bearing capacity and damage localization for an adhesively bonded joint can be difficult due to the not well-known effects of the variations or uncertainties in the imperfected adhesive-adherent bonding surfaces or the environmental conditions as well as the material and geometrical nonlinearities. …”
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