A Note on the Semi-Inverse Method and a Variational Principle for the Generalized KdV-mKdV Equation by Li Yao, Yun-Jie Yang, Xing-Wei Zhou

“…This note reveals that the semi-inverse method also works for a generalized KdV-mKdV equation with nonlinear terms of any orders.…”
Get full text

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. …”
Get full text

Global stability for the prion equation with general incidence by Pierre Gabriel

“…We consider the so-called prion equation with the general incidence term introduced in [14], and we investigate the stability of the steady states.The method is based on the reduction technique introduced in [11].The argument combines a recent spectral gap result for the growth-fragmentation equation in weighted $L^1$ spaces and the analysis of a nonlinear system of three ordinary differential equations.…”
Get full text

Some Random Fixed-Point Theorems for Weakly Contractive Random Operators in a Separable Banach Space by Kenza Benkirane, Abderrahim EL Adraoui, El Miloudi Marhrani

“…Finally, the main result is supported by an example and used to prove the existence and the uniqueness of a solution of a nonlinear stochastic integral equation system.…”
Get full text

The Estimate for Approximation Error of Neural Network with Two Weights by Fanzi Zeng, Yuting Tang

“…We prove that it can limitlessly approach any continuous function from limited close subset of Rm to Rn and any continuous function, which has limit at infinite place, from limitless close subset of Rm to Rn. This extends the nonlinear approximation ability of traditional BP neural network and RBF neural network.…”
Get full text

On the existence of a solution for some distributed optimal control hyperbolic system by Dariusz Idczak, Stanislaw Walczak

“…We consider a Bolza problem governed by a linear time-varying Darboux-Goursat system and a nonlinear cost functional, without the assumption of the convexity of an integrand with respect to the state variable. …”
Get full text

Particle Ratios from Strongly Interacting Hadronic Matter by Waseem Bashir, Saeed Uddin, Hamid Nanda

“…We calculate the particle ratios K+/π+, K-/π-, and Λ/π- for a strongly interacting hadronic matter using nonlinear Walecka model (NLWM) in relativistic mean field (RMF) approximation. …”
Get full text

On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces by Lu-Chuan Ceng, Yeong-Cheng Liou, Ching-Feng Wen, Hui-Ying Hu, Long He, Yun-Ling Cui

Get full text

Exact Solutions of Newell-Whitehead-Segel Equations Using Symmetry Transformations by Khudija Bibi, Khalil Ahmad

“…In this article, Lie and discrete symmetry transformation groups of linear and nonlinear Newell-Whitehead-Segel (NWS) equations are obtained. …”
Get full text

Existence of Periodic Solutions for a Class of Fourth-Order Difference Equation by Jia Wei, Xiaoling Han, Fumei Ye

“…We apply the continuation theorem of Mawhin to ensure that a fourth-order nonlinear difference equation of the form Δ4uk−2−akuαk+bkuβk=0 with periodic boundary conditions possesses at least one nontrivial positive solution, where Δuk=uk+1−uk is the forward difference operator, α>0,β>0 and α≠β, ak,bk are T-periodic functions and akbk>0. …”
Get full text

Asymptotic Behavior of Ground State Radial Solutions for -Laplacian Problems by Sonia Ben Othman, Rym Chemmam, Habib Mâagli

“…Let , we take up the existence, the uniqueness and the asymptotic behavior of a positive continuous solution to the following nonlinear problem in , , , , where , is a positive differentiable function in and is a positive continuous function in such that there exists satisfying for each in , , and such that .…”
Get full text

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. …”
Get full text

The Dynamic Three-Dimensional Localization of Fields in Active Percolating Systems by Gennadiy Burlak

“…Our numerical 3D simulations show that such a nonlinear system with noninteger fractal dimension has well-defined localized solutions for fields (3D speckles). …”
Get full text

Optimal Design of Structures under Impact Loading by Uwe Schramm, Walter D. Pilkey

“…The structural behavior is nonlinear dynamic. Optimization is performed using the approximation concept. …”
Get full text

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.…”
Get full text

Head Injury Reduction in Automobile Pedestrian Impact by David R. Lemmon, Ming-yi Wu, Ronald L. Huston

“…The procedures and analysis are conducted using a nonlinear dynamic finite element program for an Oldsmobile Ciera hood and a Ford Taurus hood/fender.…”
Get full text

Synthesis of Multicriteria Controller by Means of Fuzzy Logic Approach by Andrew Lozynskyy, Lyubomyr Demkiv

“…For fuzzification process, classical both linear and nonlinear membership functions are used. To find optimal values of membership function’s parameters, genetic algorithm is used. …”
Get full text

Chaos Control and Synchronization in Fractional-Order Lorenz-Like System by Sachin Bhalekar

“…Furthermore, we synchronize the system using nonlinear feedback.…”
Get full text

Existence of Solutions for a Class of Coupled Fractional Differential Systems with Nonlocal Boundary Conditions by Tingting Qi, Yansheng Liu, Yujun Cui

“…Applying Schauder fixed point theorem and Leray-Schauder nonlinear alternative theory, this paper is concerned with the existence of solutions to coupled fractional differential systems with fractional integral boundary value conditions. …”
Get full text

Modified Homotopy Perturbation Method for Solving Fractional Differential Equations by A. A. Hemeda

“…The modified homotopy perturbation method is extended to derive the exact solutions for linear (nonlinear) ordinary (partial) differential equations of fractional order in fluid mechanics. …”
Get full text