Nonlinear Vibration of Continuous Systems by Francesco Pellicano, Matteo Strozzi, Konstantin V. Avramov

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Modeling Of Active Bending By The Method Newton-Raphson And The Modified Newton-Raphson by Herda Roman, Slivanský Miloš, Sandanus Jaroslav

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A Modified Lindstedt–Poincaré Method for a Strongly Nonlinear System with Quadratic and Cubic Nonlinearities by S.H. Chen, Y. K. Cheung

“…A modified Lindstedt–Poincaré method is presented for extending the range of the validity of perturbation expansion to strongly nonlinear oscillations of a system with quadratic and cubic nonlinearities. …”
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Optimal and Nonlinear Dynamic Countermeasure under a Node-Level Model with Nonlinear Infection Rate by Xulong Zhang, Chenquan Gan

“…To this end, a controlled node-level model with nonlinear infection and countermeasure rates is established. …”
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Assessment of dynamics of asynchronous drive by nonlinear transfer function. Correction of nonlinearity of asynchronous electric drive by A. A. Baldenkov, V. L. Kodkin, A. S. Anikin

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Investigation of the Equivalent Representation Form of Strongly Damped Nonlinear Oscillators by a Nonlinear Transformation Approach by Alex Elías-Zúñiga, Oscar Martínez-Romero

“…We use a nonlinear transformation method to develop equivalent equations of motion of nonlinear homogeneous oscillatory systems with linear and nonlinear odd damping terms. …”
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Models, systems, networks in economics, engineering, nature and society by A.O. Lapich

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Application of modified extended direct algebraic method to nonlinear fractional diffusion reaction equation with cubic nonlinearity by Muhammad Bilal, Alamgir Khan, Ikram Ullah, Hasib Khan, Jehad Alzabut, Hisham Mohammad Alkhawar

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Existence of Positive Solutions to Nonlinear Fractional Boundary Value Problem with Changing Sign Nonlinearity and Advanced Arguments by Zhaocai Hao, Yubo Huang

“…Our analysis relies on a nonlinear alternative of Leray-Schauder type. An example is given to illustrate our results.…”
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A New Topological Degree Theory for Perturbations of Demicontinuous Operators and Applications to Nonlinear Equations with Nonmonotone Nonlinearities by Teffera M. Asfaw

“…In addition, a new existence result is given concerning existence of weak solutions for nonlinear wave equation with nonmonotone nonlinearity.…”
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Existence and Uniqueness of Positive Solutions to Nonlinear Second Order Impulsive Differential Equations with Concave or Convex Nonlinearities by Lingling Zhang, Chengbo Zhai

“…Using a new fixed point theorem of generalized concave operators, we present in this paper criteria which guarantee the existence and uniqueness of positive solutions to nonlinear two-point boundary value problems for second-order impulsive differential equations with concave or convex nonlinearities.…”
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Use of a Strongly Nonlinear Gambier Equation for the Construction of Exact Closed Form Solutions of Nonlinear ODEs by M. P. Markakis

“…This treatment is applied to another nonlinear equation, subjected to the same general class as that of Gambier, by constructing step by step an appropriate analytical technique. …”
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Existence of Solutions for a Schrödinger–Poisson System with Critical Nonlocal Term and General Nonlinearity by Jiafeng Zhang, Wei Guo, Changmu Chu, Hongmin Suo

“…We study the existence and multiplicity of nontrivial solutions for a Schrödinger–Poisson system involving critical nonlocal term and general nonlinearity. Based on the variational method and analysis technique, we obtain the existence of two nontrivial solutions for this system.…”
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Periodic and Antiperiodic Solutions for a Second-Order Hamiltonian System With Nonlinearity Depending on Derivative by Wenxiong Chen, Shibo Liu

“…Some existence results of periodic solution are obtained for a class of second-order Hamiltonian systems with nonlinearity depending on derivative. We prove that there exists T0>0 such that, for any T<T0, the provided Hamiltonian system has a nontrivial T-periodic and T/2-antiperiodic solution via linking theorem and iteration method.…”
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Positive Solutions of the One-Dimensional p-Laplacian with Nonlinearity Defined on a Finite Interval by Ruyun Ma, Chunjie Xie, Abubaker Ahmed

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Nonlinearity and Fractal Properties of Climate Change during the Past 500 Years in Northwestern China by Shiquan Wan, Qunqun Liu, Jianxin Zou, Wenping He

“…By using detrended fluctuation analysis (DFA), the present paper analyzed the nonlinearity and fractal properties of tree-ring records from two types of trees in northwestern China, and then we disclosed climate change characteristics during the past 500 years in this area. …”
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Solutions for a Class of Hadamard Fractional Boundary Value Problems with Sign-Changing Nonlinearity by Keyu Zhang, Zhengqing Fu

“…Using fixed point methods we establish some existence theorems of positive (nontrivial) solutions for a class of Hadamard fractional boundary value problems with sign-changing nonlinearity.…”
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On the Nonlinearity of Extended s-Type Weighted Nakano Sequence Spaces of Fuzzy Functions with Some Applications by Awad A. Bakery, Elsayed A. E. Mohamed

“…To show how the work is done, some examples and applications to the existence of solutions for a class of nonlinear summable and matrix equations are also talked about.…”
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Periodic solutions of nonlinear vibrating beams by J. Berkovits, H. Leinfelder, V. Mustonen

“…The aim of this paper is to prove new existence and multiplicity results for periodic semilinear beam equation with a nonlinear time-independent perturbation in case the period is not prescribed. …”
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Nonlinear Langevin dynamics via holography by Bidisha Chakrabarty, Joydeep Chakravarty, Soumyadeep Chaudhuri, Chandan Jana, R. Loganayagam, Akhil Sivakumar

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