Supported by the National Natural Science Foundation of China(Grant No.11871064).
This article explores the existence results and finite time stability of nonlinear Riemann-Liouville fractional oscillatory differential equations of order 1<■<2 with pure delay.The approaches we adopted to explore t...
supported by the National Natural Science Foundation of China (No.12171193);the Science and Technology Key Project of Henan Province of China (No.222102110028);the Key scientific research projects of colleges and universities in Henan Province of China (Nos.22B110006,22A110012 and 20B110008).
In this paper,a delayed mosquito population suppression model,where the number of sexually active sterile mosquitoes released is regarded as a given nonnegative function,and the birth process is density dependent by c...
supported by the National Natural Science Foundation of China(12171050,12071047);the Fundamental Research Funds for the Central Universities(500421126)。
Let f be an entire solution of the Tumura-Clunie type non-linear delay differential equation.We mainly investigate the dynamical properties of Julia sets of f,and the lower bound estimates of the measure of related li...
supported by the National Natural Science Foundation of China(Nos.12026222,12071095);Program for Changjiang Scholars and Innovative Research Team in University(No.IRT 16R16);by the Natural Science Foundation of Guangdong Province(No.2017A030310597)。
A bio-safe dengue control strategy is to use Wolbachia,which can induce incomplete cytoplasmic incompatibility(CI)and reduce the mating competitiveness of infected males.In this work,we formulate a delay differential ...
In this paper,we use the balanced method to study the numerical solution mean-square convergence for stochastic variable delay differential equations with Poisson jum ps,It is proved that the balanced method is conver...
Farming awareness is an important measure for pest controlling in agricultural practice.Time delay in controlling pest may affect the system.Time delay occurs in organizing awareness campaigns,also time delay may take...
The Ambartsumian equation is an application of the theory of surface brightness in the milky way. It is a linear differential equation involving a proportional delay term. In this paper, two different approaches have ...
supported by the National Natural Science Foundation of China(No.11671227)
In this paper, with the help of Lyapunov functional approach, sufficient conditions for the asymptotic stability of zero solution for a certain fourthorder non-linear delay differential equation are given.
Using piecewise constant orthonormal functions, an approximation of the monodromy operator of a Linear Periodic Delay Differential Equation (PDDE) is obtained by approximating the integral equation corresponding to th...
supported by the National Natural Science Foundation of China (11272235)
In an active control system, time delay will occur due to processes such as signal acquisition and transmission, calculation,and actuation. Time delay systems are usually described by delay differential equations(DDE...