An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations by Valeri Obukhovskii, Pietro Zecca, Victor Zvyagin

“…We suggest the construction of an oriented coincidence index for nonlinear Fredholm operators of zero index and approximable multivalued maps of compact and condensing type. …”
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Efficient PAPR reduction algorithm in OFDM based on nonlinear piecewise companding by Zhitong XING, Yun LI, Deyi PENG, Bensi ZHANG, Kaiming LIU, Yuan’an LIU

“…Focusing on the high peak-to-average power ratio （PAPR） problem in orthogonal frequency division multiplexing （OFDM） systems， a generalized hybrid of rayleigh and sine distribution based nonlinear companding algorithm for PAPR reduction in OFDM systems was provided.For the proposed algorithm， signal samples with small amplitudes remain unchanged.For the signal samples with large amplitudes， their probability density function were changed from rayleigh distribution to sine-based distribution.The proposed algorithm can effectively reduce the PAPR， and at the same time， maintain the bit error rate performance and power spectral density performance.Simulation results indicate that with the same PAPR performance， compared with referred companding schemes， the proposed algorithm has lower bit error rate and out of band radiation.…”
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On Coupled p-Laplacian Fractional Differential Equations with Nonlinear Boundary Conditions by Aziz Khan, Yongjin Li, Kamal Shah, Tahir Saeed Khan

“…This paper is related to the existence and uniqueness of solutions to a coupled system of fractional differential equations (FDEs) with nonlinear p-Laplacian operator by using fractional integral boundary conditions with nonlinear term and also to checking the Hyers-Ulam stability for the proposed problem. …”
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On Linear and Nonlinear Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition by Dongming Yan

“…Moreover, we investigate the existence of positive solutions for the corresponding nonlinear problem. The proofs of our main results are based upon the Krein-Rutman theorem and fixed point index theory.…”
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Nonlinear Stochastic Optimal Control Using Piezoelectric Stack Inertial Actuator by Q. F. Lü, X. F. Wang, K. Lu, R. H. Huan

“…An optimal control strategy for the random vibration reduction of nonlinear structures using piezoelectric stack inertial actuator is proposed. …”
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Dynamic Nonlinear and Residual Deformation Behaviors of the Fly Ash-Modified Loess by Qian Wang, Jun Wang, Xiumei Zhong, Haiping Ma, Xiaowei Xu

“…The effect of fly ash content on the dynamic nonlinear parameters of the modified loess was also investigated. …”
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On Nonlinear Boundary Value Problems for Functional Difference Equations with p-Laplacian by Yong Wan, Yuji Liu

“…Sufficient conditions for the existence of solutions of nonlinear boundary value problems for higher-order functional difference equations with p-Laplacian are established by making of continuation theorems. …”
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Reiterated homogenization of nonlinear monotone operators in a general deterministic setting by Dag Lukkassen, Gabriel Nguetseng, Hubert Nnang, Peter Wall

“…We study reiterated homogenization of a nonlinear non-periodic elliptic differential operator in a general deterministic setting as opposed to the usual stochastic setting. …”
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Global Asymptotic Stability for Nonlinear Functional Integral Equation of Mixed Type by Zhinan Xia

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Solvability of a Second Order Nonlinear Neutral Delay Difference Equation by Zeqing Liu, Liangshi Zhao, Jeong Sheok Ume, Shin Min Kang

“…This paper studies the second-order nonlinear neutral delay difference equation Δ[anΔ(xn+bnxn−τ)+f(n,xf1n,…,xfkn)]+g(n,xg1n,…,xgkn)=cn, n≥n0. …”
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Sensitivity Analysis for Nonlinear Set-Valued Variational Equations in Banach Framework by A. Farajzadeh, Salahuddin

“…The main purpose of this paper is to study the sensitivity analysis for nonlinear set-valued variational equations based on -resolvent operator technique. …”
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Properties of Third-Order Nonlinear Functional Differential Equations with Mixed Arguments by B. Baculíková

“…The aim of this paper is to offer sufficient conditions for property (B) and/or the oscillation of the third-order nonlinear functional differential equation with mixed arguments [𝑎(𝑡)[𝑥″(𝑡)]𝛾]′=𝑞(𝑡)𝑓(𝑥[𝜏(𝑡)])+𝑝(𝑡)ℎ(𝑥[𝜎(𝑡)]). …”
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Controlling the Stochastic Sensitivity in Nonlinear Discrete-Time Systems with Incomplete Information by Lev Ryashko, Irina Bashkirtseva

“…For stochastic nonlinear discrete-time system with incomplete information, a problem of the stabilization of equilibrium is considered. …”
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Nonlinear Refraction and Absorption in Polymers Used for Femtosecond Direct Laser Writing by Renan Cunha, João V. P. Valverde, Leonardo De Boni, Lino Misoguti, Cleber Renato Mendonça

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Nonlinear Uncertainties Canceling in Multi-Agent Systems Enabled by Cooperative Adaptation by Cyuansi Shih, Chengyu Cao

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Global stability of an $SIR$ epidemic model with delay and general nonlinear incidence by C. Connell McCluskey

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A Novel Nonlinear BWR Stability Indicator Based on the Sample Entropy by Omar Alejandro Olvera-Guerrero, Alfonso Prieto-Guerrero, Gilberto Espinosa-Paredes

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Nonlinear Augmented Proportional Navigation for Midrange Rendezvous Guidance and Performance Assessment by Weilin Wang, Xumin Song

“…The guidance law is named augmented proportional navigation (APN) by applying nonlinear control along LOS and classical proportional navigation normal to LOS. …”
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Regularity for a Nonlinear Discontinuous Subelliptic System with Drift on the Heisenberg Group by Junli Zhang, Jialin Wang

“…In this paper, we prove the partial Hölder regularity of weak solutions and the partial Morrey regularity to horizontal gradients of weak solutions to a nonlinear discontinuous subelliptic system with drift on the Heisenberg group by the A-harmonic approximation, where the coefficients in the nonlinear subelliptic system are discontinuous and satisfy the VMO condition for x, ellipticity and growth condition with the growth index 1<p<2 for the Heisenberg gradient variable, and the nonhomogeneous terms satisfy the controllable growth condition and the natural growth condition, respectively.…”
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The Stochastic Θ-Method for Nonlinear Stochastic Volterra Integro-Differential Equations by Peng Hu, Chengming Huang

“…The stochastic Θ-method is extended to solve nonlinear stochastic Volterra integro-differential equations. …”
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