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- Nonresonant Double Hopf Bifurcation in Toxic Phytoplankton-Zooplankton Model with Delay
- INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOSYuan, Rui Jiang, Weihua Wang, Yong 出版年:2017
- This paper investigates a toxic phytoplankton-zooplankton model with Michaelis-Menten type phytoplankton harvesting. The model has rich dynamical behaviors. It undergoes transcritical, saddle-node, fold, Hopf, fold-Hopf ...
- Interval oSCIllation criteria for second-order forced impulsive differential equations with mixed nonlinearities
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONSGuo, Zhonghai Zhou, Xiaoliang Ge, Weigao 出版年:2011
- In this paper, by arithmetic-geometric mean inequality and Riccati transformation, interval oSCIllation criteria are established for second-order forced impulsive differential equation with mixed nonlinearities of the fo...
- Some new retarded nonlinear integral inequalities and their applications in differential-integral equations
- APPLIED MATHEMATICS AND COMPUTATIONWang, Wu-Sheng Zhou, Xiaoliang Guo, Zhonghai 出版年:2012
- In this paper, we discuss some new retarded nonlinear Gronwall-Bellman-Pachpatte integral inequalities and give upper bound estimation of the unknown function by integral inequality technique. Our results generalize thos...
- OSCIllatory and asymptotic properties of higher order nonlinear neutral difference equations with oSCIllating coefficients
- APPLIED MATHEMATICS LETTERSZhou, Xiaoliang 出版年:2008
- In this work, the oSCIllatory and asymptotic properties of higher order nonlinear neutral difference equations with oSCIllating coefficients are studied. Some new necessary and sufficient criteria, which improve several ...
- OSCIllatory behavior of higher order nonlinear neutral forced differential equations with oSCIllating coefficients
- COMPUTERS & MATHEMATICS WITH APPLICATIONSZhou, Xiaoliang Yu, Rong 出版年:2008
- In this paper, the higher order nonlinear neutral forced differential equations of the form [x(t = p(t)x(tau(t))]((n)) + Sigma(m)(i=1)q(i)(t)f(i)(x(sigma(i)(t))) = s(t), t >= t(0). where n, m is an element of N, n >= 2 a...
- Interval OSCIllation Criteria of Second Order Mixed Nonlinear Impulsive Differential Equations with Delay
- ABSTRACT AND APPLIED ANALYSISGuo, Zhonghai Zhou, Xiaoliang Wang, Wu-Sheng 出版年:2012
- We study the following second order mixed nonlinear impulsive differential equations with delay (r(t)Phi(alpha)(x')(t)))' + p(0)(t)Phi(alpha)(x)(t)) + Sigma(n)(i=1) p(i)(t)Phi(beta i)(x(t-sigma)) = e(t), t >= t(0), t not...
- Some inequalities for a LNQD sequence with applications
- JOURNAL OF INEQUALITIES AND APPLICATIONSLi, Yongming Guo, Jianhua Li, Naiyi 出版年:2012
- In this paper, some inequalities for a linearly negative quadrant dependent (LNQD) sequence are obtained. As their application, the asymptotic normality of the weight function estimate for a regression function is establ...
- On the exponential diophantine equation (<i>m</i><SUP>3</SUP>-3<i>m</i>)<i><SUP>x</SUP></i>+(3<i>m</i><SUP>2</SUP>-1)<i><SUP>y</SUP></i>=(<i>m</i><SUP>2</SUP>+1)<i><SUP>z</SUP></i>
- PUBLICATIONES MATHEMATICAE-DEBRECENLe, MH 出版年:2001
- Let m be a positive integer. In this paper we prove that if 2 // m and m > 206, then the equation (m(3) - 3m)(x) + (3m(2) - l)(y) = (m(2) + 1)(z): has only one positive integer solution (x, y, z) = (2, 2, 3) satisfying x...
- A generalized Gronwall-Bellman-Ou-Iang type inequality for discontinuous functions and applications to BVP
- APPLIED MATHEMATICS AND COMPUTATIONWang, Wu-Sheng Zhou, Xiaoliang 出版年:2010
- In this paper we investigate a generalized Gronwall-Bellman-Ou-Iang type inequality for piecewise continuous functions. By studying the unknown function in different continuous regions Omega(kj) of Omega, we give the com...
- OSCIllatory and asymptotic properties of higher order nonlinear neutral difference equations
- APPLIED MATHEMATICS AND COMPUTATIONZhou, Xiaoliang Zhang, Weinian 出版年:2008
- In this paper, we study the oSCIllatory and asymptotic properties of solutions of higher order nonlinear neutral difference equations. Using Krasnoselskii's fixed point theorem, Schauder's fixed point theorem and Lebesgu...
- Interval OSCIllation Criteria for Super-Half-Linear Impulsive Differential Equations with Delay
- JOURNAL OF APPLIED MATHEMATICSGuo, Zhonghai Zhou, Xiaoliang Wang, Wu-Sheng 出版年:2012
- We study the following second-order super-half-linear impulsive differential equations with delay [r(t)phi(gamma) (x'(t))]' + p(t)phi(gamma) (x(t - sigma)) + q(t)f(x(t - sigma)) = e(t), t not equal tau(k), x(t(+)) = a(k)...
- ATR-FTIR spectroscopy with equidistant combination PLS method applied for rapid determination of glycated hemoglobin
- ANALYTICAL METHODSHan, Yun Pan, Tao Zhou, Huihui Yuan, Rui 出版年:2018
- A rapid quantification method of glycated hemoglobin (HbA1c) is proposed based on ATR-FTIR spectroscopy in human hemolysate samples. HbA1c, a major clinical diagnostic indicator of diabetes, is a relative content indicat...
- Interval oSCIllation criteria for nonlinear differential equations with impulses and variable delay
- APPLIED MATHEMATICS LETTERSZhou, Xiaoliang Liu, Changdong Wang, Wu-Sheng 出版年:2018
- In this paper, the interval qualitative properties of a class of second order nonlinear differential equations are studied. For the hypothesis of delay tau(t) being variable, the definitions of "strong zero point" and "w...
- On the linearly extended negative quadrant dependent random variables and its inequalities
- COMMUNICATIONS IN STATISTICS-THEORY AND METHODSLi, Yongming Pang, Weicai Feng, Ziqing Li, Naiyi 出版年:2023
- In this article, the structure of linearly extended negative quadrant dependent (LENQD) random variables is given, and its basic properties are investigated. In addition, the characteristic function inequality, Bernstein...
- The estimate for number of zeros of solutions of second order functional differential equations
- APPLIED MATHEMATICS AND COMPUTATIONZhou, Xiaoliang 出版年:2009
- In this paper, by extending the maximum principle, we study the number of zeros of solutions of second order functional differential equations. We obtain a sufficient condition for the existence of at most one zero of so...
- Anticipated backward stochastic differential equations with non-Lipschitz coefficients
- JOURNAL OF MATHEMATICAL CHEMISTRYZhou, Huihui Han, Yun Feng, Zhiguo Yuan, Rui 出版年:2021
- This paper deals with a class of anticipated backward stochastic differential equations. We extend results of Peng and Yang (2009) to the case in which the generator satisfies Non-Lipschitz conditions. The existence and ...
- An Extension to Nonlinear Sum-Difference Inequality and Applications
- ADVANCES IN DIFFERENCE EQUATIONSWang, Wu-Sheng Zhou, Xiaoliang 出版年:2009
- We establish a general form of sum-difference inequality in two variables, which includes both more than two distinct nonlinear sums without an assumption of monotonicity and a nonconstant term outside the sums. We emplo...
- The Kamenev type interval oSCIllation criteria of mixed nonlinear impulsive differential equations under variable delay effects
- ADVANCES IN DIFFERENCE EQUATIONSZhou, Xiaoliang Liu, Changdong Chen, Ruyun 出版年:2019
- In this paper, a class of mixed nonlinear impulsive differential equations is studied. When the delay sigma(t) is variable, each given interval is divided into two parts on which the quotients of x(t-sigma(t)) and x(t) a...
- On Bloch minimal surfaces
- COMPLEX VARIABLES AND ELLIPTIC EQUATIONSHuang, Xiaoling Wulan, Hasi 出版年:2010
- We consider the minimal surfaces from the unit disk into R-n and some characterizations of the Bloch minimal surfaces are given.
- Existence and Global Attractivity of Positive Periodic Solutions for a Delayed Predator-Prey Model with Mutual Interference and Functional Response
- FILOMATLiu, Changdong Zhou, Xiaoliang 出版年:2019
- In this paper, by using comparison principle of differential equations, continuation theorem of coincidence degree theory and Lyapunov function, a delayed predator-prey model with mutual interference and functional respo...
- Eventually positive solutions of higher order nonlinear neutral differential equations
- APPLIED MATHEMATICS AND COMPUTATIONZhou, Xiaoliang 周效良 出版年:2008
- In this paper, some results of Ouyang et al. [Ouyang, Li, Tang, Classifications and existence of positive solutions of higher order nonlinear neutral differential equations, Appl. Math. Comput. 148 (2004) 105-120] are im...
- OSCIllatory and asymptotic properties of higher order nonlinear neutral difference equations with oSCIllating coefficients
- APPLIEDZhou, Xiaoliang 周效良 出版年:2008
- In this work, the oSCIllatory and asymptotic properties of higher order nonlinear neutral difference equations with oSCIllating coefficients are studied. Some new necessary and sufficient criteria, which improve several ...
- An Extension to Nonlinear Sum-Difference Inequality and Applications
- ADVANCES IN DIFFERENCE EQUATIONSWang, Wu-Sheng Zhou, Xiaoliang 周效良 出版年:2009
- We establish a general form of sum-difference inequality in two variables, which includes both more than two distinct nonlinear sums without an assumption of monotonicity and a nonconstant term outside the sums. We emplo...
- OSCIllatory and asymptotic properties of higher order nonlinear neutral difference equations
- APPLIED MATHEMATICS AND COMPUTATIONZhou, Xiaoliang Zhang, Weinian 出版年:2008
- In this paper, we study the oSCIllatory and asymptotic properties of solutions of higher order nonlinear neutral difference equations. Using Krasnoselskii's fixed point theorem, Schauder's fixed point theorem and Lebesgu...
- OSCIllatory behavior of higher order nonlinear neutral forced differential equations with oSCIllating coefficients
- COMPUTERS & MATHEMATICS WITH APPLICATIONSZhou, Xiaoliang Yu, Rong 出版年:2008
- In this paper, the higher order nonlinear neutral forced differential equations of the form [x(t = p(t)x(tau(t))]((n)) + Sigma(m)(i=1)q(i)(t)f(i)(x(sigma(i)(t))) = s(t), t >= t(0). where n, m is an element of N, n >= 2 a...
- Eventually positive solutions of higher order nonlinear neutral differential equations
- APPLIED MATHEMATICS AND COMPUTATIONZhou, Xiaoliang 出版年:2008
- In this paper, some results of Ouyang et al. [Ouyang, Li, Tang, Classifications and existence of positive solutions of higher order nonlinear neutral differential equations, Appl. Math. Comput. 148 (2004) 105-120] are im...