Almost Surely Exponential Stability of Numerical Solutions for Stochastic Pantograph Equations by Shaobo Zhou

“…A highly nonlinear example is provided to illustrate the main theory.…”
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Strong Convergence on the Aggregate Constraint-Shifting Homotopy Method for Solving General Nonconvex Programming by Zhichuan Zhu, Yeong-Cheng Liou

“…In the paper, the aggregate constraint-shifting homotopy method for solving general nonconvex nonlinear programming is considered. The aggregation is only about inequality constraint functions. …”
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The Solutions of Mixed Monotone Fredholm-Type Integral Equations in Banach Spaces by Hua Su

“…By introducing new definitions of ϕ convex and -φ concave quasioperator and v0 quasilower and u0 quasiupper, by means of the monotone iterative techniques without any compactness conditions, we obtain the iterative unique solution of nonlinear mixed monotone Fredholm-type integral equations in Banach spaces. …”
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Fixed Points of Generalized F-Suzuki Type Contraction in Complete b-Metric Spaces by Hamed Hamdan Alsulami, Erdal Karapınar, Hossein Piri

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Parameter Dependence of Stable Invariant Manifolds for Delay Differential Equations under (μ,ν)-Dichotomies by Lijun Pan

“…In addition, we also show that nonuniform (μ,ν)-contraction persists under sufficiently small nonlinear perturbations.…”
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Global Exponential Stability of Discrete-Time Neural Networks with Time-Varying Delays by S. Udpin, P. Niamsup

“…Based on a discrete-type inequality, a new global stability condition for nonlinear difference equation is derived. We consider nonlinear discrete systems with time-varying delays and independence of delay time. …”
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A mathematical model of a nuclear reactor with delay depending on the power of the reactor by Kostas Bučys, Rasa Grigolienė, Jolanta Janutėnienė, Donatas Švitra

“…The nonlinear analysis of the model was done with the help of the theory of bifurcations. …”
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A New Approach for Solving Fractional Partial Differential Equations by Fanwei Meng

“…We propose a new approach for solving fractional partial differential equations based on a nonlinear fractional complex transformation and the general Riccati equation and apply it to solve the nonlinear time fractional biological population model and the (4+1)-dimensional space-time fractional Fokas equation. …”
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Henry-Gronwall Integral Inequalities with “Maxima” and Their Applications to Fractional Differential Equations by Phollakrit Thiramanus, Jessada Tariboon, Sotiris K. Ntouyas

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Solvability of the Brinkman-Forchheimer-Darcy Equation by Piotr Skrzypacz, Dongming Wei

“…The nonlinear Brinkman-Forchheimer-Darcy equation is used to model some porous medium flow in chemical reactors of packed bed type. …”
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On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative by Mehmet Merdan

“…Fractional variational iteration method (FVIM) is performed to give an approximate analytical solution of nonlinear fractional Riccati differential equation. …”
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On the Power of Simulation and Admissible Functions in Metric Fixed Point Theory by Areej S. S. Alharbi, Hamed H. Alsulami, Erdal Karapinar

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On the Analysis of Numerical Methods for Nonstandard Volterra Integral Equation by H. S. Mamba, M. Khumalo

“…We consider the numerical solutions of a class of nonlinear (nonstandard) Volterra integral equation. …”
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The Improved Riccati Equation Method and Exact Solutions to mZK Equation by Xiaofeng Li

“…Of course, it is also effective to solve other nonlinear evolution equations in mathematical physics.…”
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Wave-Breaking Criterion for the Generalized Weakly Dissipative Periodic Two-Component Hunter-Saxton System by Jianmei Zhang, Lixin Tian

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A Semianalytical Production Prediction Model and Dynamics Performance Analysis for Shale Gas Wells by Yingying Xu, Xiangui Liu, Zhiming Hu, Xianggang Duan, Jin Chang

“…The shale gas productivity model based on shale gas nonlinear seepage mechanism is an effective way to reasonably predict productivity. …”
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The Discrete Ueda System and Its Fractional Order Version: Chaos, Stabilization and Synchronization by Louiza Diabi, Adel Ouannas, Amel Hioual, Giuseppe Grassi, Shaher Momani

“…The Ueda oscillator is one of the most popular and studied nonlinear oscillators. Whenever subjected to external periodic excitation, it exhibits a fascinating array of nonlinear behaviors, including chaos. …”
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Algorithms for Solving the Equilibrium Composition Model of Arc Plasma by Zhongyuan Chi, Yuzhang Ji, Ningning Liu, Tianchi Jiang, Xin Liu, Weijun Zhang

“…This model is essentially a nonlinear system of weakly singular Jacobian matrices. …”
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Exact Solutions to a Generalized Bogoyavlensky-Konopelchenko Equation via Maple Symbolic Computations by Shou-Ting Chen, Wen-Xiu Ma

“…We aim to construct exact and explicit solutions to a generalized Bogoyavlensky-Konopelchenko equation through the Maple computer algebra system. The considered nonlinear equation is transformed into a Hirota bilinear form, and symbolic computations are made for solving both the nonlinear equation and the corresponding bilinear equation. …”
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Fractional Integral Inequalities via Hadamard’s Fractional Integral by Weerawat Sudsutad, Sotiris K. Ntouyas, Jessada Tariboon

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