Convergence Behavior for Newton-Steffensen’s Method under -Condition of Second Derivative by Yonghui Ling, Xiubin Xu, Shaohua Yu

“…The present paper is concerned with the semilocal as well as the local convergence problems of Newton-Steffensen’s method to solve nonlinear operator equations in Banach spaces. Under the assumption that the second derivative of the operator satisfies -condition, the convergence criterion and convergence ball for Newton-Steffensen’s method are established.…”
Get full text

TECHNOLOGY OF HEATING OF THE UNINTERRUPTEDLY CASTED SLUGS IN THE FURNACE OF MILL 150 RUP “BELORUSSIAN METALLURGICAL WORKS” AT THE MINIMUM POSSIBLE FUEL CONSUM PTION by V. I. Timoshpolskij, D. N. Andrianov, S. M. Kabishov, V. A. Tishchenko, V. A. Shcherbakov

“…There are carried out the complex investigations of thermal work of the heating furnace of the mill 250 RUP ''Belorussian metallurgical works” using the methods of nonlinear mathematical modeling and the theory of optimal control.…”
Get full text

Normal Form Analysis of Hopf Bifurcation Exemplified by Duffing’s Equation by A.Y.T. Leung, Zhang Qichang, Chen Yushu

“…A method is proposed for calculating the normal form coefficients of the degenerate Hopf bifurcation system and the steady periodic solutions of a nonlinear vibration system. The results obtained by this method are the same as those obtained by the classical one. …”
Get full text

Global Bifurcation of Positive Solutions of Asymptotically Linear Elliptic Problems by Ruyun Ma, Yanqiong Lu, Ruipeng Chen

“…We are concerned with determining values of λ, for which there exist positive solutions of the nonlinear elliptic problem -Δu=λa(x)f(u)  in  Ω, ∂u/∂n+b(x)g(u)=0  on  ∂Ω. …”
Get full text

The Asymptotic Behaviours of a Class of Neutral Delay Fractional-Order Pantograph Differential Equations by Baojun Miao, Xuechen Li

“…By using fractional calculus and the summation by parts formula in this paper, the asymptotic behaviours of solutions of nonlinear neutral fractional delay pantograph equations with continuous arguments are investigated. …”
Get full text

Neural Network Predictive Control for Autonomous Underwater Vehicle with Input Delay by Jiemei Zhao

“…An NN is used to estimate the nonlinear uncertainty of AUV induced by hydrodynamic coefficients and the coupling of the surge, sway, and yaw angular velocity. …”
Get full text

A Periodic Problem of a Semilinear Pseudoparabolic Equation by Yang Cao, Jingxue Yin, Chunhua Jin

“…A class of periodic problems of pseudoparabolic type equations with nonlinear periodic sources are investigated. A rather complete classification of the exponent p is given, in terms of the existence and nonexistence of nontrivial and nonnegative periodic solutions.…”
Get full text

Vector Solitons of a Coupled Schrödinger System with Variable Coefficients by Juan Carlos Muñoz Grajales

“…We show the existence of waveforms of finite-energy (vector solitons) for a coupled nonlinear Schrödinger system with inhomogeneous coefficients. …”
Get full text

Existence and Multiplicity Results of Homoclinic Solutions for the DNLS Equations with Unbounded Potentials by Defang Ma, Zhan Zhou

“…A class of difference equations which include discrete nonlinear Schrödinger equations as special cases are considered. …”
Get full text

Ulam-Hyers Stability for MKC Mappings via Fixed Point Theory by Anisa Mukhtar Hassan, Erdal Karapınar, Hamed H. Alsulami

Get full text

Analysis of Random Difference Equations Using the Differential Transformation Method by Şeyma Şişman, Mehmet Merdan

“…The differential transformation method (DTM) is one of the best methods easily applied to linear and nonlinear difference equations with random coefficients. …”
Get full text

Existence and Stability for the 3D Linearized Constant-Coefficient Incompressible Current-Vortex Sheets by Davide Catania

“…This is a preliminary result to the study of linearized variable-coefficient current-vortex sheets, a first step to prove the existence of solutions to the nonlinear problem.…”
Get full text

Application of Coupled Fixed Point Technique in Solving Integral Equations on Modified Intuitionistic Fuzzy Metric Spaces by Bhavana Deshpande, Amrish Handa

“…As an application of our result, we study the existence and uniqueness of the solution to a nonlinear Fredholm integral equation. We also give an example to demonstrate our result.…”
Get full text

Modified Function Projective Synchronization between Different Dimension Fractional-Order Chaotic Systems by Ping Zhou, Rui Ding

“…The synchronization scheme, based on stability theory of nonlinear fractional-order systems, is theoretically rigorous. …”
Get full text

A network status evaluation method based on random projection by Jinming ZHAO

“…In recent years，machine learning has been widely used in network management.However，the complexity of the communication network is increasing，nonlinear and uncertain factors in the network make the machine learning more difficult.In order to improve the effect of machine learning，a scheme of artificial nervous network based on random projection was proposed.The characteristic of such scheme was the introduction of randomness in machine learning and network topology，which took the learning process more adaptability，and achieve faster and more accurate convergence.…”
Get full text

Global stability of equilibria in a tick-borne disease model by Shangbing Ai

“…In this short note we establish global stability results for afour-dimensional nonlinear system that was developed in modeling atick-borne disease by H.D. …”
Get full text

Smooth Approximations of Global in Time Solutions to Scalar Conservation Laws by V. G. Danilov, D. Mitrovic

“…In order to solve the problem, we use and further develop the weak asymptotic method, recently introduced technique for investigating nonlinear waves interactions.…”
Get full text

Oscillation Behavior of a Class of Second-Order Dynamic Equations with Damping on Time Scales by Weisong Chen, Zhenlai Han, Shurong Sun, Tongxing Li

“…By using a Riccati transformation and inequality, we present some new oscillation theorems for the second-order nonlinear dynamic equation with damping on time scales. …”
Get full text

Weighted power mean discrete dynamical systems: Fast convergence properties by Francisco J. Solis

“…We studied families of discrete dynamical systems obtained by using iteration functions given by weighted power mean in order to understand the role of hyperrapid convergence in nonlinear maps. Our interest resides in concepts related to the velocity of convergence. …”
Get full text

Edge Theoretic Extended Contractions and Their Applications by R. Rajagopalan, Ekta Tamrakar, Fahad. S. Alshammari, H. K. Pathak, Reny George

“…As further applications, we have proved the existence of a solution of a nonlinear integral equation of Volterra type and given a suitable example in support of our result.…”
Get full text