Experiments on Linear and Nonlinear Localization of Optical Vortices in Optically Induced Photonic Lattices by Daohong Song, Cibo Lou, Liqin Tang, Zhuoyi Ye, Jingjun Xu, Zhigang Chen

“…We provide a brief overview on our recent experimental work on linear and nonlinear localization of singly charged vortices (SCVs) and doubly charged vortices (DCVs) in two-dimensional optically induced photonic lattices. …”
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Fluid-Induced Nonlinear Vibration of a Cantilevered Microtube with Symmetric Motion Constraints by Yong Guo

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Positive Solutions for Nonlinear Singular Differential Systems Involving Parameter on the Half-Line by Lishan Liu, Ying Wang, Xinan Hao, Yonghong Wu

“…By using the upper-lower solutions method and the fixed-point theorem on cone in a special space, we study the singular boundary value problem for systems of nonlinear second-order differential equations involving two parameters on the half-line. …”
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Robust Time-Varying Output Formation Control for Swarm Systems with Nonlinear Uncertainties by Xiaofeng Chai, Qing Wang, Yao Yu, Changyin Sun

“…Time-varying output formation control problems for high-order time-invariant swarm systems are studied with nonlinear uncertainties and directed network topology in this paper. …”
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A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application by Limian Zhao, Shanhe Wu, Wu-Sheng Wang

“…We establish a new nonlinear retarded Volterra-Fredholm type integral inequality. …”
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On weak solution of a hyperbolic differential inclusion with nonmonotone discontinuous nonlinear term by Guo Xingming

Subjects: “…nonmonotone discontinuous nonlinear multi-valued system…”
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Uniqueness of Transcendental Meromorphic Functions with Their Nonlinear Differential Polynomials Sharing the Small Function by Hong-Yan Xu

“…We deal with some uniqueness theorems of two transcendental meromorphic functions with their nonlinear differential polynomials sharing a small function. …”
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Uniform Energy Decay Rates for the Fuzzy Viscoelastic Model with a Nonlinear Source by Fengyun Zhang

“…This paper considers the fuzzy viscoelastic model with a nonlinear source utt+Lu+∫0tgt−ζΔuζdζ−uγu−ηΔut=0 in a bounded field Ω. …”
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Study on the Nonlinear Characteristics of a Rotating Flexible Blade with Dovetail Interface Feature by Chaofeng Li, Zengchuang Shen, Bingfu Zhong, Bangchun Wen

“…The combined motion of the external excitation and friction produces a piecewise linear vibration which is actually nonlinear. The numerical integration method is employed to calculate the vibration reduction characteristics of the nonlinear constrained rotating blade. …”
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Control Law Design for Twin Rotor MIMO System with Nonlinear Control Strategy by M. Ilyas, N. Abbas, M. UbaidUllah, Waqas A. Imtiaz, M. A. Q. Shah, K. Mahmood

“…Modeling of complex air vehicles is a challenging task due to high nonlinear behavior and significant coupling effect between rotors. …”
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Exponential Extinction of Nicholson's Blowflies System with Nonlinear Density-Dependent Mortality Terms by Wentao Wang

“…This paper presents a new generalized Nicholson’s blowflies system with patch structure and nonlinear density-dependent mortality terms. Under appropriate conditions, we establish some criteria to guarantee the exponential extinction of this system. …”
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Sensitivity analysis of solutions for a system of generalized parametric nonlinear quasivariational inequalities by Zeqing Liu, Beibei Zhu, Shin Min Kang, Gwang Il Kim

“…A new class of system of generalized parametric nonlinear quasivariational inequalities involving various classes of mappings is introduced and studied. …”
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Positive Solutions for System of Nonlinear Fractional Differential Equations in Two Dimensions with Delay by Azizollah Babakhani

“…We investigate the existence and uniqueness of positive solution for system of nonlinear fractional differential equations in two dimensions with delay. …”
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Positive Solution of a Nonlinear Fractional Differential Equation Involving Caputo Derivative by Changyou Wang, Haiqiang Zhang, Shu Wang

“…This paper is concerned with a nonlinear fractional differential equation involving Caputo derivative. …”
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Approximate Controllability of Fractional Nonlinear Hybrid Differential Systems via Resolvent Operators by Mohammed M. Matar

“…We obtain sufficient conditions for the approximate controllability of a fractional nonlinear hybrid differential system. The results are obtained by using resolvent and sectorial operators technique via Dhage fixed point theorem.…”
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A Stability Result for a Swelling Porous System with Nonlinear Boundary Dampings by Adel M. Al-Mahdi, Salim A. Messaoudi, Mohammad M. Al-Gharabli

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Tailoring beam profile and OAM spectrum in domain-engineered nonlinear photonic crystals by Xinyu Zhang, Hangyu Li, Shiqiang Liu, Yan Chen, Zhihan Zhu, Hui Liu, Shining Zhu, Xiaopeng Hu

“…Nonlinear frequency conversion provides a powerful tool to generate and manipulate structured light at new wavelengths. …”
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First-Order Boundary Value Problem with Nonlinear Boundary Condition on Time Scales by Ya-Hong Zhao

“…This work is concerned with the following first-order dynamic equation on time scale ,  xΔ(t)+p(t)x(σ(t))=f(t,x(t)),  t∈[0,T]𝕋 with the nonlinear boundary condition x(0)=g(x(σ(T))). By applying monotone iteration method, we not only obtain the existence of positive solutions, but also establish iterative schemes for approximating the solutions.…”
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The Multi-Frequency Decomposition Entropy Learning for Nonlinear fMRI Data Analysis by Di Han, Yuhu Shi, Lei Wang, Yueyang Li, Weiming Zeng

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Receding Horizon Control of Type 1 Diabetes Mellitus by Using Nonlinear Programming by Hamza Khan, József K. Tar, Imre Rudas, Levente Kovács, György Eigner

“…The nonlinear optimization task was solved by the Generalized Reduced Gradient method. …”
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