A Stochastic Approach to Modeling Food Pattern by Komla Elom Adedje, Diakarya Barro

“…In this paper, we propose a fractional differential equation of order one-half, to model the evolution through time of the dynamics of accumulation and elimination of the contaminant in the human organism with a deficient immune system, during consecutive intakes of contaminated food. …”
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Existence of Unbounded Solutions for a Third-Order Boundary Value Problem on Infinite Intervals by Hairong Lian, Junfang Zhao

“…We generalize the unbounded upper and lower solution method to a third-order ordinary differential equation on the half line subject to the Sturm-Liouville boundary conditions. …”
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Controllability in Hybrid Kinetic Equations Modeling Nonequilibrium Multicellular Systems by Carlo Bianca

“…Specifically, the analysis shows that the moments are solution of a Riccati-type differential equation.…”
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New Results on the Noise Figure of HEMTs by M. A. Grado Caffaro, M. Grado Caffaro

“…The fundamental relationship that gives minimum noise figure is derived from a first-order linear partial differential equation, which is established by assuming reasonable statements based on experience.…”
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Positive Solutions for the Initial Value Problem of Fractional Evolution Equations by He Yang, Yue Liang

“…As an example, we study the partial differential equation of the parabolic type of fractional order.…”
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On Multiple Positive Solutions for Singular Fractional Boundary Value Problems with Riemann-Stieltjes Integrals by Lufeng Gu, Qiuyan Zhong, Zhuyan Shao

“…In this paper, the existence result of at least two positive solutions is obtained for a nonlinear Riemann-Liouville fractional differential equation subject to nonlocal boundary conditions, where fractional derivatives and Riemann-Stieltjes integrals are involved. …”
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Breather Wave Solutions and Interaction Solutions for Two Mixed Calogero-Bogoyavlenskii-Schiff and Bogoyavlensky-Konopelchenko Equations by Hongcai Ma, Caoyin Zhang, Aiping Deng

“…In this paper, based on a bilinear differential equation, we study the breather wave solutions by employing the extended homoclinic test method. …”
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Limit-Point/Limit-Circle Results for Equations with Damping by M. Bartušek, John R. Graef

“…The authors study the nonlinear limit-point and limit-circle properties for the second order nonlinear damped differential equation (a(t)|y'|p-1y')'+b(t)|y'|q-1y'+r(t)|y|λ-1y=0, where 0<λ≤p≤q, a(t)>0, and r(t)>0. …”
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Uniqueness and radial symmetry for an inverse elliptic equation by B. Emamizadeh, M. H. Mehrabi

“…We consider an inverse rearrangement semilinear partial differential equation in a 2-dimensional ball and show that it has a unique maximizing energy solution. …”
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Existence and Uniqueness of Solution to Nonlinear Boundary Value Problems with Sign-Changing Green’s Function by Peiguo Zhang, Lishan Liu, Yonghong Wu

“…By using the cone theory and the Banach contraction mapping principle, the existence and uniqueness results are established for nonlinear higher-order differential equation boundary value problems with sign-changing Green’s function. …”
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The Pricing of Vulnerable Options in a Fractional Brownian Motion Environment by Chao Wang, Shengwu Zhou, Jingyuan Yang

“…Under the assumption of the stock price, interest rate, and default intensity obeying the stochastic differential equation driven by fractional Brownian motion, the jump-diffusion model is established for the financial market in fractional Brownian motion setting. …”
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Global attractor for the lattice dynamical system of a nonlinear Boussinesq equation by Ahmed Y. Abdallah

“…As far as we are aware, our result here is the first concerning the lattice dynamical system corresponding to a differential equation of second order in time variable and fourth order in spatial variable with nonlinearity involving the gradients.…”
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The Method of Coupled Fixed Points and Coupled Quasisolutions When Working with ODE’s with Arguments of Bounded Variation by Rubén Figueroa

“…The aim of this paper is to show the use of the coupled quasisolutions method as a useful technique when dealing with ordinary differential equations with functional arguments of bounded variation. …”
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Existence of nonnegative solutions for a nonlinear fractional boundary value problem by Assia Guezane-Lakoud, Kheireddine Belakroum

“…This paper deals with the existence of solutions for a class of boundary value problem (BVP) of fractional differential equation with three point conditions via Leray-Schauder nonlinear alternative. …”
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Hydrodynamics of Underwater Gas Explosion in Half-Closed Chamber Situated in Well by V. V. Ivashechkin, V. V. Veremenuk

“…The paper considers a mathematical model for pulsation process of underwater gas explosion products in a half-close cylindrical rigid chamber during gas-impulse regeneration of filters. Second-order differential equation with constant coefficients has been derived. …”
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CONTROL PROBLEMS FOR NONLINEAR VARIATIONAL EVOLUTION INEQUALITIES by Su Jin Cheon

“…In this paper, we deal with the approximate control-ability for the nonlinear functional differential equation governed by the variational inequality in Hilbert spaces and present a general theorems under which previous results easily follow. …”
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A relationship between the modified Euler method and e by Richard B. Darst, Thomas P. Dence

“…Approximating solutions to the differential equation dy/dx=f(x,y) where f(x,y)=y by a generalization of the modified Euler method yields a sequence of approximates that converge to e. …”
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A Predator-Prey Gompertz Model with Time Delay and Impulsive Perturbations on the Prey by Jianwen Jia, Chunhua Li

“…With the theory on the delay functional and impulsive differential equation, we obtain the appropriate condition for the permanence of the system.…”
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Some Identities on the High-Order -Euler Numbers and Polynomials with Weight 0 by Jongsung Choi, Hyun-Mee Kim, Young-Hee Kim

“…We construct the th order nonlinear ordinary differential equation related to the generating function of -Euler numbers with weight 0. …”
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BSDE with Jumps When Mean Reflection Is Nonlinear by Winfrida Felix Mwigilwa, Farai Julius Mhlanga

“…In this paper, we investigate a reflected backward stochastic differential equation (RBSDE) with jumps, focusing on cases where the mean reflection is nonlinear. …”
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