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Living kidney donor assessment:Kidney length vs differential function
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作者 Jacob A Akoh Katharina J Schumacher 《World Journal of Transplantation》 2020年第6期173-182,共10页
BACKGROUND The key question in living kidney donor assessment is how best to determine the contribution of each kidney to overall renal function and guide selection of which kidney to donate,ensuring safety of procedu... BACKGROUND The key question in living kidney donor assessment is how best to determine the contribution of each kidney to overall renal function and guide selection of which kidney to donate,ensuring safety of procedure and good outcome for both recipient and donor.It is thought that a length difference>2 cm may indicate significant difference in function and therefore need for measurement of differential function.AIM To determine the effect of using kidney length to decide which kidney to donate in a retrospective cohort of potential donors.METHODS All 333 potential living kidney donors between January 2009 and August 2018 who completed assessment were retrospectively evaluated.Donor assessment was performed as per United Kingdom guidelines.Data included age,sex,kidney length(cranio-caudal)obtained by computed tomography/ultrasonography,51-chromium ethylenediamine tetraacetatic acid measured glomerular filtration rate,mercapto acetyl tri glycine split function and vascular anatomy.There were 48 exclusions due to inadequate data or incomplete investigations.Statistical analysis was performed using Excel pivot tables and GraphPad Prism.Correlation between kidney length and differential function was determined with Pearson’s correlation coefficient.RESULTS Of 285 potential donors included in the study,there were 144 males(mean age 49.9±14.75)and 141 females(mean age 51.2±11.23).Overall,the Pearson’s correlation between differences in length and divided function of kidney pairs was 0.1630,P=0.0058.Of 73 with significant difference(>10%)in divided function,18(24.7%)had no difference in kidney length;54(74%)had a difference of<2 cm and only one of>2 cm.Using a length difference of>1 cm would only predict significant difference in divided function in 8/34(23.5%)of cases.Using a difference of>2 cm as cut off for performing split function would lead to false reassurance in 72 patients(6 had>20%difference in divided function whereas 66 had 10%-20%difference).CONCLUSION Length difference between kidney pairs alone is not sufficient to replace measurement of divided function.This issue requires a randomised controlled trial to resolve it. 展开更多
关键词 Kidney transplantation Living kidney donor assessment Kidney length Kidney volume differential function Glomerular filtration rate
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Existence of Periodic Solutions for Generalized Liénard-Typed Functional Differential Equations
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作者 贺小明 葛渭高 单文锐 《Journal of Beijing Institute of Technology》 EI CAS 2002年第3期325-328,共4页
The existence of periodic solutions for a kind of generalized Liénard typed functional differential equation is studied. By means of the continuation theorem of coincidence degree theory, existence criteria are ... The existence of periodic solutions for a kind of generalized Liénard typed functional differential equation is studied. By means of the continuation theorem of coincidence degree theory, existence criteria are established for the existence of periodic solutions and some previous results are extended. 展开更多
关键词 functional differential equation periodic solution coincidence degree
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The Global Solutions of Impulsive Retarded Functional Differential Equations
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作者 王儒智 孙建安 《Chinese Quarterly Journal of Mathematics》 CSCD 2001年第3期94-99,共6页
In this paper, we present some results on the existence of the golbal solutions of nonlinear impulsive retarded functional differential equations.
关键词 Fréchet spaces Tychonoff fixed point Theorem impulsive retarded functional differential equations
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EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS 被引量:23
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作者 LuShiping GeWeigao 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2002年第4期382-390,共9页
By means of an abstract continuation theorem, the existence criteria are established for the positive periodic solutions of a neutral functional differential equation d N d t=N(t)[a(t)-β(t)N(t)-b(t)N(t-σ(t))-c(... By means of an abstract continuation theorem, the existence criteria are established for the positive periodic solutions of a neutral functional differential equation d N d t=N(t)[a(t)-β(t)N(t)-b(t)N(t-σ(t))-c(t)N′(t-τ(t))]. 展开更多
关键词 positive periodic solution abstract continuation theorem neutral functional differential equation.
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RAZUMIKHIN-TYPE THEOREM FOR NEUTRAL STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY 被引量:6
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作者 吴付科 胡适耕 毛学荣 《Acta Mathematica Scientia》 SCIE CSCD 2011年第4期1245-1258,共14页
This paper establishes the Razumikhin-type theorem on stability for neutral stochastic functional differential equations with unbounded delay. To overcome difficulties from unbounded delay, we develop several differen... This paper establishes the Razumikhin-type theorem on stability for neutral stochastic functional differential equations with unbounded delay. To overcome difficulties from unbounded delay, we develop several different techniques to investigate stability. To show our idea clearly, we examine neutral stochastic delay differential equations with unbounded delay and linear neutral stochastic Volterra unbounded-delay-integro-differential equations. 展开更多
关键词 neutral stochastic functional differential equations Razumikhin-type theorem ψ γ stability exponential stability polynomial stability
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EXISTENCE OF POSITIVE SOLUTIONS FOR p-LAPLACIAN SINGULAR BOUNDARY VALUE PROBLEMS OF FUNCTIONAL DIFFERENTIAL EQUATION 被引量:5
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作者 SongChangxiu WengPeixuan 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2005年第1期51-58,共8页
In this paper,the boundary value problems of p-Laplacian functional differential equation are studied.By using a fixed point theorem in cones,some criteria for the existence of positive solutions are given.
关键词 p-Laplacian operator functional differential equation boundary value problem positive solution fixed point theorem in cones.
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A Boundary Value Problem for Second Order Functional Differential Equations with Impulses
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作者 何智敏 葛渭高 《Journal of Beijing Institute of Technology》 EI CAS 1998年第4期323-329,共7页
Aim To investigate the boundary value problem for second order functional differentiai equations with impulses. Methods The fixed point principle was used to establish our results. Results and Conclusion The results o... Aim To investigate the boundary value problem for second order functional differentiai equations with impulses. Methods The fixed point principle was used to establish our results. Results and Conclusion The results of the esistence, the uniqueness and the continuous dependence on aprameter of soiutions of the boundary value problems for second order functional differential equations with impulses are obtained. 展开更多
关键词 functional differential equation boundary value Problem impulse fixed point principle
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Periodic boundary value problem for the first order functional differential equations with impulses 被引量:5
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作者 LIANG Rui-xi SHEN Jian-hua 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2009年第1期27-35,共9页
This paper is concerned with the existence and approximation of solutions for a class of first order impulsive functional differential equations with periodic boundary value conditions. A new comparison result is pres... This paper is concerned with the existence and approximation of solutions for a class of first order impulsive functional differential equations with periodic boundary value conditions. A new comparison result is presented and the previous results are extended. 展开更多
关键词 functional differential equation periodic boundary value problem lower and upper solution monotone iterative method
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Periodic Boundary Value Problem for Functional Differential Equations with Impulses
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作者 何智敏 葛渭高 《Journal of Beijing Institute of Technology》 EI CAS 1999年第4期347-351,共5页
Aim To investigate the periodic boundary value problem for functional differential equations with impulses. Methods The method of upper and lower solutions and the monotone iterative technique were used to establish... Aim To investigate the periodic boundary value problem for functional differential equations with impulses. Methods The method of upper and lower solutions and the monotone iterative technique were used to establish our results. Results and Conclusion The results of the existence of maximal and minimal solutions of the periodic boundary value problem for functional differential equations with impulses are obtained. 展开更多
关键词 functional differential equation upper and lower solutions monotone iterative technique periodic boundary value problem IMPULSE
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THE EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS AND THEIR APPLICATION 被引量:4
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作者 赵杰民 黄克累 陆启韶 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1994年第1期49-59,共11页
In this paper. four sufficiency theorems of existence of periodic solutions for aclass of retarded functional differential equations are given. The result of thesetheorems is better than the well-known Yoshizawa’s p... In this paper. four sufficiency theorems of existence of periodic solutions for aclass of retarded functional differential equations are given. The result of thesetheorems is better than the well-known Yoshizawa’s periodic solution theorem. Anexample of application is given at the end. 展开更多
关键词 retarded functional differential equation. periodic solution boundedness of solutions
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HOMOCLINIC SOLUTIONS FOR A CLASS OF SECOND ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL SYSTEMS 被引量:2
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作者 鲁世平 郑亮 陈丽娟 《Acta Mathematica Scientia》 SCIE CSCD 2013年第5期1361-1374,共14页
By means of an extension of Mawhin's continuation theorem and some analysis methods, the existence of a set with 2kT-periodic solutions for a class of second order neutral functional differential systems is studied, ... By means of an extension of Mawhin's continuation theorem and some analysis methods, the existence of a set with 2kT-periodic solutions for a class of second order neutral functional differential systems is studied, and then the homoclinic solutions are obtained as the limit points of a certain subsequence of the above set. 展开更多
关键词 homoclinic solution periodic solution neutral functional differential system Mawhin's continuation theorem
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RAZUMIKHIN-TYPE THEOREMS OF NEUTRAL STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS 被引量:1
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作者 周少波 胡适耕 《Acta Mathematica Scientia》 SCIE CSCD 2009年第1期181-190,共10页
The stability of stochastic functional differential equation with Markovian switching was studied by several authors,but there was almost no work on the stability of the neutral stochastic functional differential equa... The stability of stochastic functional differential equation with Markovian switching was studied by several authors,but there was almost no work on the stability of the neutral stochastic functional differential equations with Markovian switching.The aim of this article is to close this gap.The authors establish Razumikhin-type theorem of the neutral stochastic functional differential equations with Markovian switching,and those without Markovian switching. 展开更多
关键词 Markovian chain Razumikhin-type theorem neutral stochastic functional differential equation exponential stability
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THIRD-ORDER DIFFERENTIAL SUBORDINATION RESULTS FOR ANALYTIC FUNCTIONS INVOLVING THE GENERALIZED BESSEL FUNCTIONS 被引量:4
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作者 汤获 Erhan DENIZ 《Acta Mathematica Scientia》 SCIE CSCD 2014年第6期1707-1719,共13页
In the present paper, we derive some third-order differential subordination results for analytic functions in the open unit disk, using the operator Bcκf by means of normalized form of the generalized Bessel function... In the present paper, we derive some third-order differential subordination results for analytic functions in the open unit disk, using the operator Bcκf by means of normalized form of the generalized Bessel functions of the first kind, which is defined as z(Bκ+1^c f(z))′= κBκ^c f(z)-(κ- 1)Bκ+1^c f(z),where b, c, p ∈ C and κ = p +(b + 1)/2 ∈ C / Z0^-(Z0^-= {0,-1,-2, … }). The results are obtained by considering suitable classes of admissible functions. Various known or new special cases of our main results are also pointed out. 展开更多
关键词 differential subordination univalent functions Hadamard product admissible functions generalized Bessel functions
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ASYMPTOTIC PROPERTIES OF FUNCTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES 被引量:1
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作者 Niu Jianren Den Jin Xu DaoyiDept.of Math.,Sichuan Univ.,Chengdu 610064,China. 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2003年第4期431-441,共11页
The paper is devoted to the asymptotic properties of functional differential equations in Banach spaces.The criteria of the invariant and attracting sets are obtained.Particularly, the sufficient condition of asymptot... The paper is devoted to the asymptotic properties of functional differential equations in Banach spaces.The criteria of the invariant and attracting sets are obtained.Particularly, the sufficient condition of asymptotic stability of the equilibrium point is given as the system has an equilibrium point.Several examples are also worked out to demonstrate the validity of the results. 展开更多
关键词 functional differential equations reaction diffusion equations invariant sets attracting sets
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Asymptotic stability for impulsive functional differential equations 被引量:1
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作者 罗治国 罗艳 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2009年第10期1317-1324,共8页
In this paper, we investigate the stability of a class of impulsive functional differential equations by using Lyapunov functional and Jensen's inequality. Some new stability theorems are obtained. Examples are given... In this paper, we investigate the stability of a class of impulsive functional differential equations by using Lyapunov functional and Jensen's inequality. Some new stability theorems are obtained. Examples are given to demonstrate the advantage of the obtained results. 展开更多
关键词 STABILITY impulsive functional differential equation Lyapunov functional Jensen's inequality
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PERIODIC SOLUTIONS OF THIRD-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS 被引量:2
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作者 Zhang Zhengqiu Wang ZhichengDept.ofAppl.Math.,HunanUniv.,Changsha410082,China 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2002年第2期145-154,共10页
The sufficient condition for the existence of2 π- periodic solutions of the following third- order functional differential equations with variable coefficients a(t) x (t) +bx″2 k- 1(t) +cx′2 k- 1(t) + 2 k- 1 i=1... The sufficient condition for the existence of2 π- periodic solutions of the following third- order functional differential equations with variable coefficients a(t) x (t) +bx″2 k- 1(t) +cx′2 k- 1(t) + 2 k- 1 i=1 cixi(t) +g(x(t-τ) ) =p(t) =p(t+2π) is obtained.The approach is based on the abstract continuation theorem from Mawhin and the a- priori estimate of periodic solutions 展开更多
关键词 periodic solution abstract continuation theorem a- priori estimate coincidence degree functional differential equation
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On Stability of Solutions of a Certain Fourth-Order Functional Differential Equations 被引量:1
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作者 王培光 《Chinese Quarterly Journal of Mathematics》 CSCD 1993年第4期104-110,共7页
Using a Razumikhin-type theorem,we obtain sufficient conditions for the global asymptotic stability of the zero solution of a certain fourth order functional differential equations.The result generalizes the well know... Using a Razumikhin-type theorem,we obtain sufficient conditions for the global asymptotic stability of the zero solution of a certain fourth order functional differential equations.The result generalizes the well known results. 展开更多
关键词 functional differential equations Lyapunov function global asymptotic stability
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Existence of Periodic Solution for a Kind of Functional Differential Equation 被引量:1
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作者 LIN Jin-quan LIN Wen-xian 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第2期256-259,共4页
In this paper,a kind of high order functional differential equation is considered.By using the theory of concidence degree,a sufficient condition of existence of at least one 2π-period solution is obtained.
关键词 functional differential equation 2π-period solution concidence degree
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Periodic Solutions for a Class of Neutral Functional Differential Equations with Distributed and Discrete Delays 被引量:1
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作者 周宗福 曾力 +1 位作者 贾宝瑞 徐建中 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第4期485-494,共10页
Based on Krasnoselskii's fixed point theorem,matrix measure and functional analysis methods,some new sufficient conditions for the existence of periodic solutions of neutral functional differential equations with ... Based on Krasnoselskii's fixed point theorem,matrix measure and functional analysis methods,some new sufficient conditions for the existence of periodic solutions of neutral functional differential equations with distributed and discrete delays are obtained. Moreover,we construct an example to illustrate the feasibility of our results. 展开更多
关键词 neutral functional differential equation infinite distributed delay discrete delays Krasnoselskii’s fixed point theorem periodic solutions
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Multiple Positive Periodic Solutions for Functional Differential Equations with Infinite Delay 被引量:1
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作者 孙忠民 王增桂 任锁全 《Northeastern Mathematical Journal》 CSCD 2008年第4期319-328,共10页
In this paper, we investigate the existence of multiple positive periodic solutions for functional differential equations with infinite delay by applying the Krasnoselskii fixed point theorem for cone map and the Legg... In this paper, we investigate the existence of multiple positive periodic solutions for functional differential equations with infinite delay by applying the Krasnoselskii fixed point theorem for cone map and the Leggett-Williams fixed point theorem. 展开更多
关键词 positive periodic solution functional differential equation fixed point theorem for cone map
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