On the Weak Solution to a Fractional Nonlinear Schrödinger Equation by Zujin Zhang, Xiaofeng Wang, Zheng-an Yao

“…We obtain the existence of a global weak solution to a fractional nonlinear Schrödinger equation by the Galerkin method. …”
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Advances in Nonlinear Complexity Analysis for Partial Differential Equations by Zhengde Dai, Qianshun S. Chang, Lan Xu, Syed Tauseef Mohyud-Din, Hafez Tari, Peicheng Zhu

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On Solutions of a Nonlinear Erdélyi-Kober Integral Equation by Nurgali K. Ashirbayev, Józef Banaś, Raina Bekmoldayeva

“…We conduct some investigations concerning the solvability of a nonlinear integral equation of Erdélyi-Kober type. …”
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Solutions for nonlinear variational inequalities with a nonsmooth potential by Michael E. Filippakis, Nikolaos S. Papageorgiou

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Feedforward and Feedback Control Performance Assessment for Nonlinear Systems by Zhiguo Wang, Jun Chen

“…A performance assessment method for nonlinear feedforward and feedback control systems is proposed in this paper. …”
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Recent Progress on Nonlinear Schrödinger Systems with Quadratic Interactions by Chunhua Li, Nakao Hayashi

“…The study of nonlinear Schrödinger systems with quadratic interactions has attracted much attention in the recent years. …”
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Nonsingular Global Fixed-Time Stabilization for Nonlinear Systems by Wei Hu, Zhangyong Zhou, Junjun Tang

“…Since existing results about fixed-time stabilization are only applied to strict feedback systems, this paper investigates the nonsingular fixed-time stabilization of more general high-order nonlinear systems. Based on a novel concept named coordinate mapping of time domain, a control method is first proposed to transform the nonsingular fixed-time convergence problem into the finite-time convergence problem of a transformed time-varying system. …”
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Cauchy-Dirichlet problem for the nonlinear degenerate parabolic equations by Ismail Kombe

“…We will investigate the nonexistence of positive solutions for the following nonlinear parabolic partial differential equation: ∂u/∂t=ℒu+V(w)up−1 in Ω×(0,T), 1<p<2, u(w,0)=u0(w)≥0 in Ω, u(w,t)=0 on ∂Ω×(0,T) where ℒ is the subelliptic p-Laplacian and V∈Lloc1(Ω).…”
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Boundedness of solutions of matrix nonlinear volterra difference equations by Michael I. Gil', Rigoberto Medina

“…Nonlinear discrete-time Volterra equations in a Euclidean space are considered. …”
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Stability of nonlinear systems under constantly acting perturbations by Xinzhi Liu, S. Sivasundaram

“…In this paper, we investigate total stability, attractivity and uniform stability in terms of two measures of nonlinear differential systems under constant perturbations. …”
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Stability Analysis of Complex-Valued Nonlinear Differential System by Tao Fang, Jitao Sun

“…This paper studies the stability of complex-valued nonlinear differential system. The stability criteria of complex-valued nonlinear autonomous system are established. …”
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Analysis of a Dengue Disease Model with Nonlinear Incidence by Shu-Min Guo, Xue-Zhi Li, Mini Ghosh

“…A dengue disease epidemic model with nonlinear incidence is formulated and analyzed. The equilibria and threshold of the model are found. …”
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Solutions for m-Point BVP with Sign Changing Nonlinearity by Hua Su

“…We study the existence of positive solutions for the following nonlinear m-point boundary value problem for an increasing homeomorphism and homomorphism with sign changing nonlinearity: {(ϕ(u′(t)))′+a(t)f(t,u(t))=0, 0<t<1, u′(0)=∑i=1m−2aiu′(ξi), u(1)=∑i=1kbiu(ξi)−∑i=k+1sbiu(ξi)−∑i=s+1m−2biu′(ξi), where ϕ:R→R is an increasing homeomorphism and homomorphism and ϕ(0)=0. …”
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Chemical Etching, AFM, Laser Damage Threshold, and Nonlinear Optical Studies of Potential Nonlinear Optical Crystal: Bis (L-Glutamine) Potassium Nitrate by Redrothu Hanumantharao, S. Kalainathan

“…A novel semiorganic nonlinear optical crystal bis (L-glutamine) potassium nitrate (BGPN) grown by slow evaporation technique at ambient temperature. …”
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Combining robust state estimation with nonlinear model predictive control to regulate the acute inflammatory response to pathogen by Gregory Zitelli, Seddik M. Djouadi, Judy D. Day

Subjects: “…nonlinear observability.…”
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Construction of Exact Parametric or Closed Form Solutions of Some Unsolvable Classes of Nonlinear ODEs (Abel's Nonlinear ODEs of the First Kind and Relative Degenerate Equations) by Dimitrios E. Panayotounakos, Theodoros I. Zarmpoutis

“…We provide a new mathematical technique leading to the construction of the exact parametric or closed form solutions of the classes of Abel's nonlinear differential equations (ODEs) of the first kind. …”
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The research for mechanics stimulation method of nonlinear random vibration based on statistical linear theory by Wang Guodong

Subjects: “…Nonlinear random vibration…”
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Attractors of semigroups associated with nonlinear systems for diffusive phase separation by Nobuyuki Kenmochi

“…Our model is described by two functions, the absolutete temperature θ:=θ(t,x) and the order parameter w:=w(t,x), which are governed by a system of two nonlinear parabolic PDEs. The order parameter w is constrained to have double obstacles σ*≤w≤σ* (i.e., σ* and σ* are the threshold values of w). …”
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Nonlinear Pulse Shaping in Fibres for Pulse Generation and Optical Processing by Sonia Boscolo, Christophe Finot

“…Here, we review recent progress on the use of fibre nonlinearities for the generation and shaping of optical pulses and on the applications of advanced pulse shapes in all-optical signal processing. …”
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Ulam type stability for nonlinear Hahn difference equations with delay by Kai Chen, Jinrong Wang

Subjects: “…nonlinear hahn difference equation…”
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