On a Predator-Prey Model Involving Age and Spatial Structure by Okana S. Sougué, Oumar Traoré

“…In this paper, we study the mathematical analysis of a nonlinear age-dependent predator–prey system with diffusion in a bounded domain with a non-standard functional response. …”
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Fixed Point Theorems of Superlinear Operators with Applications by Shaoyuan Xu, Yan Han

“…The results are applied to nonlinear integral equations and partial differential equations.…”
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On the Stochastic 3D Navier-Stokes-α Model of Fluids Turbulence by Gabriel Deugoue, Mamadou Sango

“…We investigate the stochastic 3D Navier-Stokes-α model which arises in the modelling of turbulent flows of fluids. Our model contains nonlinear forcing terms which do not satisfy the Lipschitz conditions. …”
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Existence of Nonoscillatory Solutions of First-Order Neutral Differential Equations by Božena Dorociaková, Anna Najmanová, Rudolf Olach

“…This paper contains some sufficient conditions for the existence of positive solutions which are bounded below and above by positive functions for the first-order nonlinear neutral differential equations. These equations can also support the existence of positive solutions approaching zero at infinity…”
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On Some Metric Inequalities and Applications by Hassen Aydi, Bessem Samet

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New Conditions for the Exponential Stability of Pseudolinear Difference Equations in Banach Spaces by Rigoberto Medina

“…We study the local exponential stability of evolution difference systems with slowly varying coefficients and nonlinear perturbations. We establish the robustness of the exponential stability in infinite-dimensional Banach spaces, in the sense that the exponential stability for a given pseudolinear equation persists under sufficiently small perturbations. …”
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Bifurcation Analysis and Exact Wave Solutions for the Double-Chain Model of DNA by Taher S. Hassan, A.A. Elmandouh, Adel A. Attiya, Ahmed Y. Khedr

“…This work aims to study analytically the nonlinear model for deoxyribonucleic acid (DNA). Based on the complete discrimination and direct method, some new wave solutions are introduced. …”
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Higher-Order Equations of the KdV Type are Integrable by V. Marinakis

“…We show that a nonlinear equation that represents third-order approximation of long wavelength, small amplitude waves of inviscid and incompressible fluids is integrable for a particular choice of its parameters, since in this case it is equivalent with an integrable equation which has recently appeared in the literature. …”
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Fractional Differential Equations with Fractional Impulsive and Nonseparated Boundary Conditions by Xi Fu, Xiaoyou Liu

“…By means of Schaefer fixed point theorem, Banach fixed point theorem, and nonlinear alternative of Leray-Schauder type, some existence results are obtained. …”
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Tripled Fixed Point Results in Generalized Metric Spaces by Hassen Aydi, Erdal Karapınar, Wasfi Shatanawi

“…We establish a tripled fixed point result for a mixed monotone mapping satisfying nonlinear contractions in ordered generalized metric spaces. …”
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Existence and blow up of solutions of a viscoelastic <mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo class="MathClass-open">(</mml:mo><mml:mi>x</mml:mi><mml:mo class... by Gülistan Butakın, Erhan Pişkin

“…In this paper, we are concerned with a logarithmic nonlinear viscoelastic m(x)…”
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Quasilinear Stochastic Cauchy Problem in Abstract Colombeau Spaces by Irina V. Melnikova, Uljana A. Alekseeva

“…Generalized solutions to the abstract Cauchy problem for a quasilinear equation with the generator of an integrated semigroup and with terms reflecting nonlinear perturbations and white noise type perturbations are under consideration. …”
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Existence and Uniqueness of Positive Solutions for a Coupled System of Fractional Differential Equations by Hanying Feng, Xiaofeng Zhang

“…In this article, we investigate a boundary value problem for a coupled differential system of fractional order that the nonlinear term depends on the unknown functions as well as their lower order fractional derivatives. …”
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Asymptotic Behavior of Bifurcation Curve for Sine-Gordon-Type Differential Equation by Tetsutaro Shibata

“…We consider the nonlinear eigenvalue problems for the equation , , , , where is a parameter. …”
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Existence Results of Random Impulsive Integrodifferential Inclusions with Time-Varying Delays by Sahar M. A. Maqbol, R. S. Jain, B. S. Reddy

“…This study examines the existence of mild solutions for nonlinear random impulsive integrodifferential inclusions with time-varying delays under sufficient conditions. …”
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Watermarking text document based on statistic property of part of speech string by DAI Zu-xu1, HONG Fan1, CUI Guo-hua1, FU Min2

“…An algorithm resolving nonlinear entropy equation with multivariable was described and proved firstly,then a new scheme where a text document is marked by accommodating probability distribution of certain part of speech strings to entropy constitutes the watermark was designed.Watermark function in the scheme values in a real number set domi-nated by computing precision,it is helpful to advances watermark capacity significantly.…”
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Positive Solution to a Fractional Boundary Value Problem by A. Guezane-Lakoud, R. Khaldi

“…By means of Banach contraction principle, Leray-Schauder nonlinear alternative, properties of the Green function, and Guo-Krasnosel'skii fixed point theorem on cone, some results on the existence, uniqueness, and positivity of solutions are obtained.…”
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Convergence for a Fixed Point of Evolution Families in Banach Space via Iterative Process by Musharaf Shah, Gul Rahmat, Syed Inayat Ali Shah, Ebenezer Bonyah, Zahir Shah, Meshal Shutaywi

“…In this paper, we present the convergence of Krasnoselskii Mann iterative process for common fixed points of pointwise Lipschitzian evolution family of bounded nonlinear operators on a Banach space ℜ.…”
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Absorbers: Definitions, properties and applications by G. Belitskii

“…It is expected that the description of the structure of absorbers will add new insights to the recent discussion of nature and content of notion of attractiveness for nonlinear dynamics.…”
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Exploring a Cold Plasma-2d Black Hole Connection by Floyd L. Williams

“…Using a resonance nonlinear Schrödinger equation as a bridge, we explore a direct connection of cold plasma physics to two-dimensional black holes. …”
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