Partitioned Quasi-Newton Approximation for Direct Collocation Methods and Its Application to the Fuel-Optimal Control of a Diesel Engine by Jonas Asprion, Oscar Chinellato, Lino Guzzella

“…First results indicate a significantly faster convergence of the nonlinear program solver when the method proposed is used instead of the standard quasi-Newton approximation.…”
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Analyzing Ferroresonance Phenomena in Power Transformers Including Zinc Oxide Arrester and Neutral Resistance Effect by Hamid Radmanesh, Fathi Seyed Hamid

“…The simulation results show that connecting the neutral resistance exhibits a great mitigating effect on nonlinear overvoltage.…”
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The Influence of Inter-Connections Characteristics on the Lateral Performance of Braced-Frame Modular Steel Buildings by Mostafa Farajian, Mohammad Iman Khodakarami

“…This study aims to investigate the effect of inter-connections’ properties on the lateral performance of braced modular frames through nonlinear static analysis. To that end, three frames of four, eight and twelve storeys, are assumed for the required analysis. …”
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Study on the Dynamic Problems of Double-Disk Rotor System Supported by Deep Groove Ball Bearing by Yang Liu, Jiyuan Han, Siyao Zhao, Qingyu Meng, Tuo Shi, Hui Ma

“…Based on the nonlinear Hertz contact theory, the mechanical model of deep groove ball bearings is obtained. …”
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Global Dynamics, Boundedness, and Semicycle Analysis of a Difference Equation by Abdul Qadeer Khan, Hamdy El-Metwally

“…In this paper, we explore local stability, attractor, periodicity character, and boundedness solutions of the second-order nonlinear difference equation. Finally, obtained results are verified numerically.…”
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Multiplicity Results for a Perturbed Elliptic Neumann Problem by Gabriele Bonanno, Giuseppina D'Aguì

“…The existence of three solutions for elliptic Neumann problems with a perturbed nonlinear term depending on two real parameters is investigated. …”
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Periodic Solutions for a System of Difference Equations by Shugui Kang, Bao Shi

“…This paper deals with the second-order nonlinear systems of difference equations, we obtain the existence theorems of periodic solutions. …”
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Existence and Multiplicity of Solutions for Semipositone Problems Involving p-Laplacian by Guowei Dai, Chunfeng Yang

“…We prove existence and multiplicity of positive solutions for semipositone problems involving p-Laplacian in a bounded smooth domain of ℝN under the cases of sublinear and superlinear nonlinearities term.…”
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Convergence for a Fixed Point of Evolution Families in Banach Space via Iterative Process by Musharaf Shah, Gul Rahmat, Syed Inayat Ali Shah, Ebenezer Bonyah, Zahir Shah, Meshal Shutaywi

“…In this paper, we present the convergence of Krasnoselskii Mann iterative process for common fixed points of pointwise Lipschitzian evolution family of bounded nonlinear operators on a Banach space ℜ.…”
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Positive Solutions for Systems of Second-Order Difference Equations by Johnny Henderson, Rodica Luca

“…We study the existence and nonexistence of positive solutions of some systems of nonlinear second-order difference equations subject to multipoint boundary conditions which contain some positive constants.…”
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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.…”
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Uniqueness and Existence of Solution for a System of Fractional q-Difference Equations by Wen-Xue Zhou, Hai-zhong Liu

“…Our results are based on the nonlinear alternative of Leray-Schauder type and Banach’s fixed-point theorem.…”
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An Illusion: “A Suzuki Type Coupled Fixed Point Theorem” by Hamed H. Alsulami, Erdal Karapınar, Marwan A. Kutbi, Antonio-Francisco Roldán-López-de-Hierro

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Quantum Difference Langevin System with Nonlocal q-Derivative Conditions by Surang Sitho, Sorasak Laoprasittichok, Sotiris K. Ntouyas, Jessada Tariboon

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Development of a Five-Degree-of-Freedom Seated Human Model and Parametric Studies for Its Vibrational Characteristics by Jong-Jin Bae, Namcheol Kang

“…Finally, through the frequency responses of the human model, nonlinear characteristics such as frequency shift and jump phenomena were clearly observed.…”
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Integral Bifurcation Method together with a Translation-Dilation Transformation for Solving an Integrable 2-Component Camassa-Holm Shallow Water System by Weiguo Rui, Yao Long

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Projective Synchronization of N-Dimensional Chaotic Fractional-Order Systems via Linear State Error Feedback Control by Baogui Xin, Tong Chen

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Computational Comparison of Exact Solution Methods for 0-1 Quadratic Programs: Recommendations for Practitioners by Richard J. Forrester, Noah Hunt-Isaak

“…This paper is concerned with binary quadratic programs (BQPs), which are among the most well-studied classes of nonlinear integer optimization problems because of their wide variety of applications. …”
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Refraction of the Two-Photon Multimode Field via a Three-Level Atom by Trever Harborth, Yuri Rostovtsev

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Numerical Solutions to Optimal Portfolio Selection and Consumption Strategies under Stochastic Volatility by Lei Ge, Qiang Zhang

“…In addition, we have used a technique to deal with the nonlinear term, which is another novelty in performing the Crank–Nicolson algorithm. …”
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