Existence and Nonexistence for Boundary Problem Involving the p-Biharmonic Operator and Singular Nonlinearities by Mohammed El Mokhtar Ould El Mokhtar

“…This article concerns the existence and the nonexistence of solution for the following boundary problem involving the p-biharmonic operator and singular nonlinearities,  Δp2u=uγ−1u+μu−1−α/xβu in Ω and u=∂u/∂n=0 on ∂Ω, where 4<2p<N,0∈Ω, −∞<μ<μ∗,=N−2p1−α/pN,p<γ<p∗=pN/N−2p  is the critical Sobolev exponent,  0≤β<Nγ+α/γ+1, 0<α<1. …”
Get full text

Compact scheme with two-sided estimates for nonlinear convection-diffusion-reaction equations by Chinedu Nwaigwe

Subjects: “…Convection-diffusion equations, nonlinear coefficients, two-sided bounds, experimental order of convergence, consistency, freezing coefficients.…”
Get full text

Some Interesting Bifurcations of Nonlinear Waves for the Generalized Drinfel’d-Sokolov System by Huixian Cai, Chaohong Pan, Zhengrong Liu

“…We study the bifurcations of nonlinear waves for the generalized Drinfel’d-Sokolov system ut+(vm)x=0,vt+a(vn)xxx+buxv+cuvx=0 called D(m,n) system. …”
Get full text

Automatic Parking Trajectory Planning Based on Warm Start Nonlinear Dynamic Optimization by Hongbin Ren, Yaqi Niu, Yunong Li, Lin Yang, Hongliang Gao

Subjects: Get full text

Modelling and Regularity of Nonlinear Impulsive Switching Dynamical System in Fed-Batch Culture by Lei Wang

“…To deal with this problem, we consider the switching of alkali pump as an impulsive event and present a nonlinear impulsive switching system to describe the fed-batch culture. …”
Get full text

Two-Dimensional Electroosmotic Consolidation Theory of Nonlinear Soil Voltage Distribution Characteristics by Yang Shen, Jianting Feng, Yinghao Ma, Hanlong Liu

“…Electroosmosis results show that soil voltage exhibits nonlinear distribution characteristics against distance from the cathode. …”
Get full text

Positive Recurrence and Extinction of Hybrid Stochastic SIRS Model with Nonlinear Incidence Rate by Liang Chen, Shan Wang

“…In this paper, the dynamic behavior of a class of hybrid SIRS model with nonlinear incidence is studied. Firstly, we provide the condition under which the positive recurrence exists and then give the threshold R0S for disease extinction, that is, when R0S<1, the disease will die out. …”
Get full text

Adaptive Control Using Neural Networks and Approximate Models for Nonlinear Dynamic Systems by Khadija El Hamidi, Mostafa Mjahed, Abdeljalil El Kari, Hassan Ayad

“…In this research, a comparative study of two recurrent neural networks, nonlinear autoregressive with exogenous input (NARX) neural network and nonlinear autoregressive moving average (NARMA-L2), and a feedforward neural network (FFNN) is performed for their ability to provide adaptive control of nonlinear systems. …”
Get full text

Modeling Coupled Nonlinear Multilayered Dynamics: Cyber Attack and Disruption of an Electric Grid by Marc Mangel, Jimmie McEver

“…We link the physical and cyber systems through a metric of performance of the physical system that depends upon the state of the cyber system using (i) a generic nonlinear relationship between the state of the cyber system and the performance of the physical system and (ii) the synchronous motor model of an electric grid consisting of a utility with many customers whose smart meters can become compromised, in which a steady state in the difference in rotor angles is the metric of performance. …”
Get full text

Study on Nonlinear Damage Creep Model for Rocks under Cyclic Loading and Unloading by Liangliang Zhang, Xiaojian Wang

“…To determine the nonlinear creep characteristics of rocks under cyclic loading and unloading conditions, a nonlinear Kelvin model and damage viscoplastic model are proposed. …”
Get full text

Geometrically Nonlinear Analysis for Elastic Beam Using Point Interpolation Meshless Method by Cheng He, Xinhai Wu, Tao Wang, Huan He

“…Owing to the advantages of the intrinsic beam theory, the resulted equations are expressed in first-order partial differential form with second-order nonlinear terms. In order to solve the intrinsic beam equations in a relative simple way, in this paper, the point interpolation meshless method was employed to obtain the discretization equations of motion. …”
Get full text

Existence of positive solutions for some nonlinear elliptic problems in unbounded domains of ℝn by Noureddine Zeddini

“…This paper deals with a class of nonlinear elliptic equations in an unbounded domain D of ℝn, n≥3, with a nonempty compact boundary, where the nonlinear term satisfies some appropriate conditions related to a certain Kato class K∞(D). …”
Get full text

Some Comments on the Nonlinear Dynamics of a Portal Frame under Base Excitation by Aline Souza de Paula, José Manoel Balthazar, Jorge Luis Palacios Felix

“…This paper presents a nonlinear dynamic analysis of a flexible portal frame subjected to support excitation, which is provided by an electro-dynamical shaker. …”
Get full text

Geometrically Nonlinear Analysis of Functionally Graded Timoshenko Curved Beams with Variable Curvatures by Ze-Qing Wan, Shi-Rong Li, Hong-Wei Ma

“…In this paper, geometrically nonlinear analysis of functionally graded curved beams with variable curvatures based on Timoshenko beam theory is presented. …”
Get full text

Minimal Wave Speed in a Delayed Lattice Dynamical System with Competitive Nonlinearity by Fuzhen Wu

Get full text

NONLINEAR DYNAMIC CHARACTERISTIC OF THE ROTOR SUPPORTED BY FIXED-TILTING PAD JOURNAL BEARINGS by HEI Di, LV YanJun, ZHANG YongFang

Subjects: Get full text

Numerical simulations of irreversibility for nonlinearly radiative and chemically reactive flow of Maxwell fluid by Debozani Borgohain

“…In this paper, study is performed on entropy production with an emphasis on nonlinearized thermal radiation and viscous dissipation under the consequence of time dependent magnetic field for an unsteady flow of chemically reactive Maxwell fluid in Darcian porous media. …”
Get full text

A Laplace decomposition algorithm applied to a class of nonlinear differential equations by Suheil A. Khuri

“…In this paper, a numerical Laplace transform algorithm which is based on the decomposition method is introduced for the approximate solution of a class of nonlinear differential equations. The technique is described and illustrated with some numerical examples. …”
Get full text

Nonlinear Vibrations of FGM Cylindrical Panel with Simply Supported Edges in Air Flow by Y. X. Hao, W. Zhang, S. B. Li, J. H. Zhang

“…With Hamilton’s principle for an elastic body, a nonlinear dynamical model based on Reddy’s first-order shear deformation shell theory and von Karman type geometric nonlinear relationship is derived in the form of partial equations. …”
Get full text

Nonlinear functional response parameter estimation in a stochastic predator-prey model by Gianni Gilioli, Sara Pasquali, Fabrizio Ruggeri

Get full text