Tripled Fixed Point Theorems for Mixed Monotone Kannan Type Contractive Mappings by Marin Borcut, Mădălina Păcurar, Vasile Berinde

“…We present new results on the existence and uniqueness of tripled fixed points for nonlinear mappings in partially ordered complete metric spaces that extend the results in the previous works: Berinde and Borcut, 2011, Borcut and Berinde, 2012, and Borcut, 2012. …”
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Adaptation of Differential Transform Method for the Numeric-Analytic Solution of Fractional-Order Rössler Chaotic and Hyperchaotic Systems by Asad Freihat, Shaher Momani

“…The algorithm described in this paper is expected to be further employed to solve similar nonlinear problems in fractional calculus.…”
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Global Analysis for Rough Solutions to the Davey-Stewartson System by Han Yang, Xiaoming Fan, Shihui Zhu

“…The new ingredient in this paper is an interaction Morawetz estimate, which generates a new space-time Lt,x4 estimate for nonlinear equation with the relatively general defocusing power nonlinearity.…”
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A Newton-type method and its application by V. Antony Vijesh, P. V. Subrahmanyam

“…We further obtain an existence theorem for a class of nonlinear functional integral equations involving the Urysohn operator.…”
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Best Proximity Point Theorem in Quasi-Pseudometric Spaces by Robert Plebaniak

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ASSEMBLED PRESSURE OF SHRINK FIT WITH MICRO DIMENSION AND CLOSED STRUCTURE by WANG GuoPing, CHENG Shuang, HAO HuaNing

“…Contact pressure is stronger nonlinear along assembled length and hard to calculate in the interference fit with closed structure and micro dimension. …”
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Evaluating a double integral using Euler's method and Richardson extrapolation by Justin Steven Calder Prentice

“…We also provide a generalization of the method to the case of nonlinear limits in the outer integral. …”
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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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Research on reachable set boundary of neutral system with various types of disturbances. by Dongmei Xia, Kaiyuan Chen, Lin Sun

“…The investigation notably addresses the challenges posed by time-varying delays, applying Lyapunov's direct method alongside advanced matrix inequality techniques to identify minimized and more accurate ellipsoidal boundaries of the RS in NTSs influenced by bounded and nonlinear disturbances. Our findings, verified through numerical simulations and comparisons with existing literature, demonstrate enhanced control and management capabilities for complex systems, thus underscoring the substantial theoretical and practical value of incorporating delay elements in NTSs.…”
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A New Ridge-Type Estimator for the Linear Regression Model: Simulations and Applications by B. M. Golam Kibria, Adewale F. Lukman

“…The ridge regression-type (Hoerl and Kennard, 1970) and Liu-type (Liu, 1993) estimators are consistently attractive shrinkage methods to reduce the effects of multicollinearity for both linear and nonlinear regression models. This paper proposes a new estimator to solve the multicollinearity problem for the linear regression model. …”
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The Rate at Which the Energy of Solutions for a Class of p-Laplacian Wave Equation Decays by Soufiane Mokeddem, Khaled Ben Walid Mansour

“…For this end we use the multiplier method combined with nonlinear integral inequalities given by Martinez; the proof is based on the construction of a special weight function that depends on the behavior of σ.…”
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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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Complete Solutions to General Box-Constrained Global Optimization Problems by Dan Wu, Youlin Shang

“…This paper presents a global optimization method for solving general nonlinear programming problems subjected to box constraints. …”
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On a clock-controlled keystream generator and its cryptographic properties by MA Wei-ju1, FENG Deng-guo1

“…A new clock-controlled keystream generator was proposed,which was composed of three shift registers: two clock-controlled linear feedback shift registers A,B,and one clock-controlling nonlinear feedback shift register C.Let l1,l2 and l3 denote the length of A,B and C,respectively.The clock-control information is from two bit strings of feedback shift register C,and the times A and B shift are according to the Hamming weights of the two strings,respectively.The period,the linear complexity and the k error linear complexity of the keystream generator are studied,and its security was analyzed.…”
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Bogdanov-Takens and Triple Zero Bifurcations of a Delayed Modified Leslie-Gower Predator Prey System by Xia Liu, Jinling Wang

“…A delayed modified Leslie-Gower predator prey system with nonlinear harvesting is considered. The existence conditions that an equilibrium is Bogdanov-Takens (BT) or triple zero singularity of the system are given. …”
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A Mathematical Model for the Dynamics of Income Distribution in the Presence of Production by Maria Letizia Bertotti

“…The framework is expressed in the form of a system of nonlinear ordinary differential equations, as many as the income classes are, involving transition probabilities. …”
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Common Fixed Point Theorems for Contractive Mappings of Integral Type in G-Metric Spaces and Applications by Fengrong Zhang, Xiangshuai Zhang, Yan Hao

“…The results obtained in this paper generalize and differ from a few results in the literature and are used to prove the existence and uniqueness of common bounded and continuous solutions for certain functional equations and nonlinear Volterra integral equations. A nontrivial example is included.…”
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Calculation of Wall Heat Conductivity under Non-Symmetric Boundary Conditions by R. I. Yesman

“…Advancing of phase transformation front along cross-section is considered with the purpose to take into account phase and chemical transformations in high-impact coatings and the Dirac δ-function is applied in this case.While stating a problem nonlinear boundary conditions and differential equations of heat transfer with due account of thermal and physical characteristics dependence on temperature have been used in the paper. …”
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Explicit Solutions to the (3+1)-Dimensional Kudryashov-Sinelshchikov Equations in Bubbly Flow Dynamics by Y. B. Chukkol, M. N. B. Mohamad, Mukhiddin Muminov

“…The method applied can be used in further works to obtain entirely new solutions to many other nonlinear evolution equations.…”
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Dynamics Analysis of the Gear System with Tooth Breakage Fault by Ma Rui, Wang Hui

“…The torsional vibration model of the spur gear system with time- variant mesh stiffness,nonlinear clearance and the mass eccentricity caused by tooth breakage is established. …”
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