The Dynamics of the Schoener-Polis-Holt model of Intra-Guild Predation by Eric Ruggieri, Sebastian J. Schreiber

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Blow-Up Analysis for a Quasilinear Degenerate Parabolic Equation with Strongly Nonlinear Source by Pan Zheng, Chunlai Mu, Dengming Liu, Xianzhong Yao, Shouming Zhou

“…We investigate the blow-up properties of the positive solution of the Cauchy problem for a quasilinear degenerate parabolic equation with strongly nonlinear source ut=div(|∇um|p−2∇ul)+uq,  (x,t)∈RN×(0,T), where N≥1, p>2 , and m, l,  q>1, and give a secondary critical exponent on the decay asymptotic behavior of an initial value at infinity for the existence and nonexistence of global solutions of the Cauchy problem. …”
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Solution of Nonlinear Volterra Integral Equations with Weakly Singular Kernel by Using the HOBW Method by Mohamed R. Ali, Mohamed M. Mousa, Wen-Xiu Ma

“…We present a new numerical technique to discover a new solution of Singular Nonlinear Volterra Integral Equations (SNVIE). The considered technique utilizes the Hybrid Orthonormal Bernstein and Block-Pulse functions wavelet method (HOBW) to solve the weakly SNVIE including Abel’s equations. …”
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Research on Influencing Factors of Fatigue Strength of Wind Turbine Spindles Based on Nonlinear Contact by Song Kewei, Chen Xiaoxu, Liu Xiangyin, Tian Jiabin, Li Xiaoxia

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A New Spectral Local Linearization Method for Nonlinear Boundary Layer Flow Problems by S. S. Motsa

“…We propose a simple and efficient method for solving highly nonlinear systems of boundary layer flow problems with exponentially decaying profiles. …”
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Positive Periodic Solutions for a Class of Strongly Coupled Differential Systems with Singular Nonlinearities by Ruipeng Chen, Guangchen Zhang, Jiayin Liu

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Positive Solutions Depending on Parameters for a Nonlinear Fractional System with p-Laplacian Operators by Chen Yang, Xiaolin Zhu

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Revised Variational Iteration Method for Solving Systems of Nonlinear Fractional-Order Differential Equations by C. Ünlü, H. Jafari, D. Baleanu

“…A modification of the variational iteration method (VIM) for solving systems of nonlinear fractional-order differential equations is proposed. …”
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A nonlinear elasto-plastic analysis of Reissner-Mindlin plates by finite element method by Meftah Kamel, Sedira Lakhdar

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Amplitude Dependence of Nonlinear Precipitation Blocking of Relativistic Electrons by Large Amplitude EMIC Waves by Jacob Bortnik, Jay M. Albert, Anton Artemyev, Wen Li, Chae‐Woo Jun, Veronika S. Grach, Andrei G. Demekhov

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Analysis of global dynamics in an attraction-repulsion model with nonlinear indirect signal and logistic source by Chang-Jian Wang, Jia-Yue Zhu

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Some Existence Results for Impulsive Nonlinear Fractional Differential Equations with Closed Boundary Conditions by Hilmi Ergören, Adem Kiliçman

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Finite-Time Stability of Solutions for Nonlinear q-Fractional Difference Coupled Delay Systems by Jingfeng Wang, Chuanzhi Bai

“…By applying this result, the finite-time stability criteria of solutions for a class of nonlinear q-fractional difference coupled delay systems are obtained. …”
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Multiple normalized solutions to the nonlinear Schrödinger–Poisson system with the $L^2$-subcritical growth by Siwei Wei, Kaimin Teng

“…In this paper, we study the existence of multiple normalized solutions to the following Schrödinger–Poisson system with general nonlinearities: \begin{equation*} \begin{cases} -\varepsilon^2\Delta u+V(x)u+\phi u=f(u)+\lambda u & \hbox{in $\mathbb{R}^3$,} \\ -\varepsilon^2\Delta\phi=u^2& \hbox{in $\mathbb{R}^3$,}\\ \int_{\mathbb{R}^3}|u|^2{\rm d}x=\varepsilon^3 a^2,\ \end{cases} \end{equation*} where $\varepsilon$, $a>0$, $\lambda\in\mathbb{R}$ is an unknown parameter that appears as a Lagrange multiplier, $V(x):\mathbb{R}^3 \rightarrow [0,\infty)$ is a continuous function, and $f$ is a differentiable function satisfying $L^2$-subcritical growth. …”
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Nonlinear Behavior Study of Reinforced Concrete Coupling Beams Subjected to the Effect of Wind Loading by Sarah Bashour, Bassam Hwaija, Fadwa Issa

“…In addition to that, there is still a need for developing an analytical model that can represent nonlinear behavior of these elements when subjected to wind loads. …”
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Existence and Uniqueness of Solution to Nonlinear Boundary Value Problems with Sign-Changing Green’s Function by Peiguo Zhang, Lishan Liu, Yonghong Wu

“…By using the cone theory and the Banach contraction mapping principle, the existence and uniqueness results are established for nonlinear higher-order differential equation boundary value problems with sign-changing Green’s function. …”
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Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow by F. Talay Akyildiz, K. Vajravelu

“…Differential Equations and Nonlinear Mechanics…”
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Dynamic Behaviors and Analytical Solutions of the Damped (2+1)-Dimensional Nonlinear Schrödinger Equation by Yongyi Gu, Feng Ye, Baixin Chen, Najva Aminakbari

“…In this paper, abundant analytical solutions of the damped (2 + 1)-dimensional nonlinear Schrödinger equation are achieved by taking advantage of the extended systematic method. …”
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Holographic ferromagnetic phase transitions with three typical nonlinear electrodynamics in Gauss-Bonnet gravity by Ruo-Tong Wei, Ya-Bo Wu, Te Huang, Jun-Ping Wang, Cheng-Yuan Zhang

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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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