The generalized Turner-Bradley-Kirk-Pruitt equation by Ray Redheffer

“…Several recent results pertaining to nonlinear equations of ecology are applied to a generalization of the Turner-Bradley-Kirk-Pruitt (TBKP) equation, which illustrates a variety of interesting possibilities as regards persistence and extinction. …”
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The shallow water equations: conservation laws and symplectic geometry by Yilmaz Akyildiz

“…We consider the system of nonlinear differential equations governing shallow water waves over a uniform or sloping bottom. …”
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On Random Topological Structures by Ravi P. Agarwal, Yeol Je Cho, Reza Saadati

“…These subjects are important to the study of nonlinear analysis in random normed spaces.…”
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Measure Functional Differential Equations in the Space of Functions of Bounded Variation by S. M. Afonso, A. Rontó

“…We establish general conditions for the unique solvability of nonlinear measure functional differential equations in terms of properties of suitable linear majorants.…”
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Parameter Estimation for Stochastic Differential Equations Driven by Mixed Fractional Brownian Motion by Na Song, Zaiming Liu

“…We study the asymptotic properties of minimum distance estimator of drift parameter for a class of nonlinear scalar stochastic differential equations driven by mixed fractional Brownian motion. …”
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Proximal Point Algorithms for Finding a Zero of a Finite Sum of Monotone Mappings in Banach Spaces by H. Zegeye, N. Shahzad

“…Our theorems improve and unify most of the results that have been proved in this direction for this important class of nonlinear mappings.…”
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Several Dynamic Properties of Solutions to a Generalized Camassa-Holm Equation by Zheng Yin

“…For a nonlinear generalization of the Camassa-Holm equation, we investigate the dynamic properties of solutions for the equation under the assumption that the initial value u0(x) lies in the space H1(R). …”
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The Existence of Positive Solutions for Singular Impulse Periodic Boundary Value Problem by Zhaocai Hao, Tanggui Chen

“…We obtain new result of the existence of positive solutions of a class of singular impulse periodic boundary value problem via a nonlinear alternative principle of Leray-Schauder. …”
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Existence Results for Fractional Differential Equations with Separated Boundary Conditions and Fractional Impulsive Conditions by Xi Fu, Xiaoyou Liu

“…By means of the Schaefer fixed point theorem, Banach fixed point theorem, and nonlinear alternative of Leray-Schauder type, some existence results are obtained. …”
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Existence and Uniqueness of Solutions for a Fractional Hybrid System with Nonseparated Integral Boundary Hybrid Conditions by M. Hannabou, M. Bouaouid, K. Hilal

“…In this paper, we are going to investigate the existence and uniqueness of solutions of a coupled system of nonlinear fractional hybrid equations with nonseparated type integral boundary hybrid conditions. …”
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Convergence of Solutions to a Certain Vector Differential Equation of Third Order by Cemil Tunç, Melek Gözen

“…We give some sufficient conditions to guarantee convergence of solutions to a nonlinear vector differential equation of third order. …”
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The model of reproductive system by Donatas Švitra, Rasa Grigolienė

“…The mathematical model consists of 6 nonlinear differential equations with time delay. …”
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Comparison of KP and BBM-KP Models by Gideon P. Daspan, Michael M. Tom

“…It is shown that the solutions of the pure initial-value problem for the KP and regularized KP equations are the same, within the order of accuracy attributable to either, on the time scale 0≤t≤ε−3/2, during which nonlinear and dispersive effects may accumulate to make an order-one relative difference to the wave profiles.…”
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About Stabilization of the Controlled Inverted Pendulum Under Stochastic Perturbations of the Type of Poisson’s Jumps by Leonid Shaikhet

“…It is supposed that stabilized control depends on the entire trajectory of the pendulum. Linear and nonlinear models of the controlled inverted pendulum are considered, and the stability of the zero and nonzero equilibria is studied. …”
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Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation by Nikos Karachalios, Nikos Stavrakakis, Pavlos Xanthopoulos

“…We consider a nonlinear parabolic equation involving nonmonotone diffusion. …”
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Some Fixed Point Theorems for Boyd and Wong Type Contraction Mapping in Ordered Partial Metric Spaces with an Application by Santosh Kumar, Faustine Nziku

“…Finally, the existence of the solution of nonlinear integral equation is discussed as an application of the main result.…”
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Solvability of a fourth order boundary value problem with periodic boundary conditions by Chaitan P. Gupta

“…The author earlier investigated the existence and uniqueness of the solutions of the nonlinear analogues of fourth order boundary value problems that arise in the equilibrium of an elastic beam depending on how the ends of the beam are supported. …”
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Expansive Mappings and Their Applications in Modular Space by A. Azizi, R. Moradi, A. Razani

“…As an application, two nonlinear integral equations are considered and the existence of their solutions is proved.…”
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The Choquard Equation with Weighted Terms and Sobolev-Hardy Exponent by Yanbin Sang, Xiaorong Luo, Yongqing Wang

“…We study a nonlinear Choquard equation with weighted terms and critical Sobolev-Hardy exponent. …”
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Fixed-Point and STILS Method to Solve a Coupled System of Transport Equations by Daouda Sangare

“…The transport equation with a nonlinear feedback is solved using a fixed-point method.…”
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