Stability Conditions of Second Order Integrodifferential Equations with Variable Delay by Dingheng Pi

“…We investigate integrodifferential functional differential equations ẍ+f(t,x,ẋ)ẋ+∫t-r(t)t‍a(t,s)g(x(s))ds=0 with variable delay. …”
Get full text

Pricing of European Currency Options with Uncertain Exchange Rate and Stochastic Interest Rates by Xiao Wang

“…Suppose that the interest rates obey stochastic differential equations, while the exchange rate follows an uncertain differential equation; this paper proposes a new currency model. …”
Get full text

Existence of Solutions of α∈(2,3] Order Fractional Three-Point Boundary Value Problems with Integral Conditions by N. I. Mahmudov, S. Unul

“…Existence and uniqueness of solutions for α∈(2,3] order fractional differential equations with three-point fractional boundary and integral conditions involving the nonlinearity depending on the fractional derivatives of the unknown function are discussed. …”
Get full text

New Modification on Heun’s Method Based on Contraharmonic Mean for Solving Initial Value Problems with High Efficiency by Abushet Hayalu Workie

“…In this paper, small modification on Improved Euler’s method (Heun’s method) is proposed to improve the efficiency so as to solve ordinary differential equations with initial condition by assuming the tangent slope as an average of the arithmetic mean and contra-harmonic mean. …”
Get full text

Extending an Almost Complete Pair of Matrices to a Complete Triple by Sheng Chen, Chao Xia

“…An application of the result to differential equations is also given.…”
Get full text

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. …”
Get full text

Fixed Point Theorems and Uniqueness of the Periodic Solution for the Hematopoiesis Models by Jun Wu, Yicheng Liu

“…We present some results to the existence and uniqueness of the periodic solutions for the hematopoiesis models which are described by the functional differential equations with multiple delays. Our methods are based on the equivalent norm techniques and a new fixed point theorem in the continuous function space.…”
Get full text

Existence and Uniqueness Theorems of Ordered Contractive Map in Banach Lattices by Xingchang Li, Zhihao Wang

“…Moreover, we prove the existence of a unique solution for first-order ordinary differential equations with initial value conditions by using the theoretical results with no need for using the condition of a lower solution or an upper solution.…”
Get full text

The model of reproductive system by Donatas Švitra, Rasa Grigolienė

“…The mathematical model consists of 6 nonlinear differential equations with time delay. …”
Get full text

Poincaré Bifurcations of Two Classes of Polynomial Systems by Jing Wang, Shuliang Shui

“…Using bifurcation methods and the Abelian integral, we investigate the number of the limit cycles that bifurcate from the period annulus of the singular point when we perturb the planar ordinary differential equations of the form , with an arbitrary polynomial vector field, where or .…”
Get full text

In Search of Chaos in Genetic Systems by Felix Sadyrbaev, Olga Kozlovska

“…A three-dimensional multiparametric system of ordinary differential equations, arising in the theory of genetic networks, is considered. …”
Get full text

Substantiation of asymptotical solution of weakly nonlinear hyperbolic system by Aleksandras Krylovas

“… A hyperbolic system of first order partial differential equations with small parameter and periodical initial conditions is obtained. …”
Get full text

Controllability of semilinear stochastic delay evolution equations in Hilbert spaces by P. Balasubramaniam, J. P. Dauer

“…An application to stochastic partial differential equations is given.…”
Get full text

An Iterative Method for Time-Fractional Swift-Hohenberg Equation by Wenjin Li, Yanni Pang

“…Using this iterative method, we obtain the approximate analytic solutions with numerical figures to initial value problems, which indicates that such iterative method is effective and simple in constructing approximate solutions to Cauchy problems of time-fractional differential equations.…”
Get full text

Monotonic Limit Properties for Solutions of BSDEs with Continuous Coefficients by ShengJun Fan, Xing Song, Ming Ma

“…This paper investigates the monotonic limit properties for the minimal and maximal solutions of certain one-dimensional backward stochastic differential equations with continuous coefficients.…”
Get full text

Multivariate stochastic modeling for transcriptional dynamics with cell-specific latent time using SDEvelo by Xu Liao, Lican Kang, Yihao Peng, Xiaoran Chai, Peng Xie, Chengqi Lin, Hongkai Ji, Yuling Jiao, Jin Liu

“…Most existing methods of dynamic modeling use ordinary differential equations (ODE) for individual genes without applying multivariate approaches. …”
Get full text

Optimization using response surface methodology for Eyring-powell fluid flow with Cattaneo-Christov heat flux and cross diffusion effects by Pradeep Kumar, Vidhya K G, Felicita Almeida, Qasem Al-Mdallal

“…Using similarity transformations, the governing partial differential equations are converted into ordinary differential equations, which are numerically solved using the Runge-Kutta-Fehlberg 4th-5th order method. …”
Get full text

Stratifications and foliations in phase portraits of gene network models by V. P. Golubyatnikov, A. A. Akinshin, N. B. Ayupova, L. S. Minushkina

“…Periodic processes of gene network functioning are described with good precision by periodic trajectories (limit cycles) of multidimensional systems of kinetic-type differential equations. In the literature, such systems are often called dynamical, they are composed according to schemes of positive and negative feedback between components of these networks. …”
Get full text

A comprehensive numerical study exploring the significance of thermally reactive bioconvection in Falkner-Skan flow of Williamson nanomaterials influenced by activation energy and... by M. Israr Ur Rehman, Haibo Chen, Aamir Hamid, Wu Qian, Refka Ghodhbani, Mohamed Hussien

“…Similarity transformations are used to convert the system of partial differential equations into a system of ordinary differential equations, which are then numerically solved using the Runge–Kutta–Fehlberg (RKF-45) method. …”
Get full text

C0-semigroups of linear operators on some ultrametric Banach spaces by Toka Diagana

“…As an illustration, we will discuss the solvability of some homogeneous p-adic differential equations.…”
Get full text