The Multisoliton Solutions for the (2+1)-Dimensional Sawada-Kotera Equation by Zhenhui Xu, Hanlin Chen, Wei Chen

“…These results show that the high-dimensional nonlinear evolution equation has rich dynamical behavior.…”
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Parameter estimation in a structured erythropoiesis model by Azmy S. Ackleh, Jeremy J. Thibodeaux

“…We develop a numerical method for estimating parameters in astructured erythropoiesis model consisting of a nonlinear system ofpartial differential equations. …”
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New Conditions for the Exponential Stability of Pseudolinear Difference Equations in Banach Spaces by Rigoberto Medina

“…We study the local exponential stability of evolution difference systems with slowly varying coefficients and nonlinear perturbations. We establish the robustness of the exponential stability in infinite-dimensional Banach spaces, in the sense that the exponential stability for a given pseudolinear equation persists under sufficiently small perturbations. …”
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Solution of Sequential Hadamard Fractional Differential Equations by Variation of Parameter Technique by Mohammed M. Matar

“…Firstly, we obtain the solution of the linear equations using variation of parameter technique, and next we investigate the existence theorems of the corresponding nonlinear types using some fixed-point theorems. Finally, some examples are given to explain the theorems.…”
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Investigating a Class of Generalized Caputo-Type Fractional Integro-Differential Equations by Saeed M. Ali, Wasfi Shatanawi, Mohammed D. Kassim, Mohammed S. Abdo, S. Saleh

“…In this article, we prove some new uniqueness and Ulam-Hyers stability results of a nonlinear generalized fractional integro-differential equation in the frame of Caputo derivative involving a new kernel in terms of another function ψ. …”
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Absorbers: Definitions, properties and applications by G. Belitskii

“…It is expected that the description of the structure of absorbers will add new insights to the recent discussion of nature and content of notion of attractiveness for nonlinear dynamics.…”
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Application of the Homotopy Analysis Method for Solving the Variable Coefficient KdV-Burgers Equation by Dianchen Lu, Jie Liu

“…The results indicate that this method is efficient for the nonlinear models with the dissipative terms and variable coefficients.…”
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On the Initial Value Problem of Stochastic Evolution Equations in Hilbert Spaces by Xuping Zhang, Yongxiang Li, Pengyu Chen

“…The existence of saturated mild solution and global mild solution is obtained under the situation that the nonlinear term satisfies some appropriate growth conditions. …”
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Application of Conformable Sumudu Decomposition Method for Solving Conformable Fractional Coupled Burger’s Equation by Hassan Eltayeb, Said Mesloub

“…It is an approximate analytical method, which can be used to solve linear and nonlinear partial differential equations. In this work, one-dimensional conformable functional Burger’s equation has been solved by applying conformable double Sumudu decomposition. …”
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CMOS Realization of All-Positive Pinched Hysteresis Loops by B. J. Maundy, A. S. Elwakil, C. Psychalinos

“…Two novel nonlinear circuits that exhibit an all-positive pinched hysteresis loop are proposed. …”
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MODELING OF THE TEMPERATURE DISTRIBUTION DENSITY FUNCTION IN A DETAIL AT A CONSTANT HEATING TEMPERATURE by A. N. Chichko, S. g Likhousov, O. A. Sachek, O. I. Chichko, T. V. Matyushinets

“…It was shown that the difference between the maximum and minimum temperatures of the detail varies nonlinearly with the time of heating the detail in the furnace. …”
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Adaptive Synchronization of Complex Dynamical Networks with State Predictor by Yuntao Shi, Bo Liu, Xiao Han

“…This paper addresses the adaptive synchronization of complex dynamical networks with nonlinear dynamics. Based on the Lyapunov method, it is shown that the network can synchronize to the synchronous state by introducing local adaptive strategy to the coupling strengths. …”
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Semilocal Convergence for a Fifth-Order Newton's Method Using Recurrence Relations in Banach Spaces by Liang Chen, Chuanqing Gu, Yanfang Ma

“…We study a modified Newton's method with fifth-order convergence for nonlinear equations in Banach spaces. We make an attempt to establish the semilocal convergence of this method by using recurrence relations. …”
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Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications by De-ning Qu, Cao-zong Cheng

“…The aim of this paper is to study generalized vector quasi-equilibrium problems (GVQEPs) by scalarization method in locally convex topological vector spaces. A general nonlinear scalarization function for set-valued mappings is introduced, its main properties are established, and some results on the existence of solutions of the GVQEPs are shown by utilizing the introduced scalarization function. …”
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Solvability of a fourth order boundary value problem with periodic boundary conditions by Chaitan P. Gupta

“…The author earlier investigated the existence and uniqueness of the solutions of the nonlinear analogues of fourth order boundary value problems that arise in the equilibrium of an elastic beam depending on how the ends of the beam are supported. …”
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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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Gradient approach for the evaluation of the fatigue limit of welded structures under complex loading by Y. Nadot, D. Halm, F. Dal Cero Coelho

“…A gradient approach (WSG: Welded Stress Gradient) is used to evaluate the fatigue limit and the comparison with experimental results shows a relative good agreement. Nonlinear cumulative damage theory is used to take into account the variable amplitude loading.…”
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Vessel-Bridge Collision Reliability Assessment Based on Structural Dynamic Analysis by Fu Tao, Ren Xiaoqian, Wang Kai

“…This method combines the method of moments with nonlinear dynamic finite element analysis, which can enhance the efficiency of calculating failure probability.…”
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Kernel Sliced Inverse Regression: Regularization and Consistency by Qiang Wu, Feng Liang, Sayan Mukherjee

“…Kernel sliced inverse regression (KSIR) is a natural framework for nonlinear dimension reduction using the mapping induced by kernels. …”
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Time-Periodic Solution of the Weakly Dissipative Camassa-Holm Equation by Chunyu Shen

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