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ORDERING CONTRACTION MAPPING PRINCIPLE AND APPLICATIONS
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作者 李福义 张庆政 《Acta Mathematica Scientia》 SCIE CSCD 1998年第4期457-460,共4页
This paper establishes an ordering contraction mapping principle for increasing mapping in partial ordering metric spaces, and applies it to prove the existence and uniqueness of fixed point for some nonlinear operato... This paper establishes an ordering contraction mapping principle for increasing mapping in partial ordering metric spaces, and applies it to prove the existence and uniqueness of fixed point for some nonlinear operators controlled by a linear operator and phi-concave operator in a partial ordering Banach space. Therefore, this two results are unified. 展开更多
关键词 partial ordering metric spaces ordering contraction mapping principle rho-concave operator
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BOUNDARY VALUE PROBLEM FOR DEGENERATE AND SINGULAR p-LAPLACIAN SYSTEMS 被引量:1
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作者 陈祖墀 李杜 《Acta Mathematica Scientia》 SCIE CSCD 2008年第3期651-664,共14页
In this article, using the contraction mapping principle and the shooting method, the authors obtain the existence and uniqueness of the local solution and the global solution to a class of quasilinear elliptic system... In this article, using the contraction mapping principle and the shooting method, the authors obtain the existence and uniqueness of the local solution and the global solution to a class of quasilinear elliptic systems with p-Laplacian as its principal. They also obtain the continuous dependence of the solutions on the boundary data. 展开更多
关键词 Elliptic system DEGENERATE SINGULAR contraction mapping principle shooting method
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A Kind of Boundary Value Problems for Stochastic Differential Equations
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作者 HU LING WU ZHENG +1 位作者 WEI ZHANG-ZHE WANG LIANG-LONG 《Communications in Mathematical Research》 CSCD 2018年第3期205-211,共7页
In this paper we discuss stochastic differential equations with a kind of periodic boundary value conditions(in sense of mean value). Appealing to the decomposition of equations, the existence of solutions is obtain... In this paper we discuss stochastic differential equations with a kind of periodic boundary value conditions(in sense of mean value). Appealing to the decomposition of equations, the existence of solutions is obtained by using the contraction mapping principle and Leray-Schauder fixed point theorem, respectively. 展开更多
关键词 stochastic differential equation Leray-Schauder fixed point theorem boundary value problem contraction mapping principle
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Asymptotic Stability of Singular Solution for Camassa-Holm Equation
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作者 Yuetian Gao 《Journal of Applied Mathematics and Physics》 2021年第7期1505-1514,共10页
The aim of this paper is to study singular dynamics of solutions of Camassa-Holm equation. Based on the semigroup theory of linear operators and Banach contraction mapping principle, we prove the asymptotic stability ... The aim of this paper is to study singular dynamics of solutions of Camassa-Holm equation. Based on the semigroup theory of linear operators and Banach contraction mapping principle, we prove the asymptotic stability of the explicit singular solution of Camassa-Holm equation. 展开更多
关键词 Asymptotic Stability Camassa-Holm Equation Explicit Solution Semigroup Theory Banach Contraction mapping principle
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THE EXISTENCE AND UNIQUENESS OF SOLUTION FOR A CLASS OF STOCHASTIC FUNCTIONAL EQUAFIONS ON S.P.SPACE 被引量:10
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作者 刘坤会 秦明达 陆传赉 《Acta Mathematica Scientia》 SCIE CSCD 2001年第3期391-400,共10页
This paper is concerned with the existence and uniqueness of solution for a class of stochastic functional equation: X =φ(X), where φ: B → B and B is a Banach space consisted of all left-continuous, (■_t)-adapted ... This paper is concerned with the existence and uniqueness of solution for a class of stochastic functional equation: X =φ(X), where φ: B → B and B is a Banach space consisted of all left-continuous, (■_t)-adapted processes. Also, the main result is applied to some S.D.E (or S.I.E.). And the authors adopted some of the results in current research in the models of stochastic control recently. This paper proves the ekistence and uniquence and uniqueness of solution for stochastic functional equation. A series of corollaries are deduced from the special examples of the theorems in this paper. 展开更多
关键词 Stochastic functional equation stochastic differential (integral) equation principle of contraction mapping
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Migration of Magnetotelluric Data in Two——Dimensional Model
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作者 Wei Sheng Wang JiayingChina University of Geosciences , Wuhan 430074 《Journal of Earth Science》 SCIE CAS CSCD 1991年第1期105-113,共9页
Since the wave equation of magnetoteiluric (MT)field is similar to the one of seismic , the migration techniques used in seismic can be applied to MT data . In this paper we make use of the principle of reflector mapp... Since the wave equation of magnetoteiluric (MT)field is similar to the one of seismic , the migration techniques used in seismic can be applied to MT data . In this paper we make use of the principle of reflector mapping (i. e. U/D imaging principle ) to image MT data . That is, the MT wavefield observed on the surface of the earth can be resolved into upgoing and downgoing waves , the waves are extrapolated downward by the phase - shift method or the phase - shift plus interpolation (PSPI )method . Conductivity interfaces of the medium could be found by using the time coincidence of the upgoing and downgoing waves . Theoretical calculations show that the migration technique of MT data presented here is very effective . It can not only enhance the lateral resolution of MT data , but also obtain the visual image of subsurface interfaces . As compared with the conventional 2 - D inversion , this procedure is more simple in calculation and can be easily put into practice on a personal computer and is able to obtain the MT depth section , which is similar to seismic section . 展开更多
关键词 migration imaging upgoing/downgoing waves the principle of reflec- tor mapping phase-shift method phase-shift plus interpolation method depth section.
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A Periodic Dividend Problem with Inconstant Barrier in Markovian Environment 被引量:1
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作者 Fang JIN Hui OU Xiang Qun YANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2015年第2期281-294,共14页
Periodic dividend problem is a meaningful issue. Based on a compound binomial model with periodic dividend, we use a homogeneous, ergodic and irreducible discrete-time Markov chain to express the evolution from one pe... Periodic dividend problem is a meaningful issue. Based on a compound binomial model with periodic dividend, we use a homogeneous, ergodic and irreducible discrete-time Markov chain to express the evolution from one period to the subsequent of the economic or the environmental and climatic conditions. We derive some properties about the model. A system of integral equations for the expectation and the r-th moment of discounted dividends until ruin time are obtained respectively. Moreover, by using of Contraction Mapping Principle, we solve the equation system and obtain the explicit expression. 展开更多
关键词 Periodic dividend Markovian environment inconstant barrier ruin time discounted dividends contraction mapping principle
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The Existence of Solutions for the Problem in the Optical Lattice with Nonlocal Nonlinearity
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作者 Rui-feng ZHANG Ren-tao LIU 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2012年第4期681-690,共10页
We address the impact of nonlocality in the physical features exhibited by solitons supported by Kerr-type nonlinear media with an imprinted optical lattice. We discuss the solitons solution for a class of nonlinear S... We address the impact of nonlocality in the physical features exhibited by solitons supported by Kerr-type nonlinear media with an imprinted optical lattice. We discuss the solitons solution for a class of nonlinear SchrSdinger equations in the optical lattice with nonlocal nonlinearity. We also show via a uniform priori estimate that existence and uniqueness of the global solution for the initial problem. 展开更多
关键词 SchrSdinger equation Cauchy problem contract mapping principle Calerkin method
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EXISTENCE AND UNIQUENESS OF ALMOST PERIODIC SOLUTION TO A SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION
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作者 Huiqin Xie (College of Math. and Computer Science, Fuzhou University, Fuzhou 350108) 《Annals of Differential Equations》 2010年第4期457-464,共8页
In this paper, the existence of almost periodic solution to a second order nonlinear equation is investigated by contraction mapping principle under some conditions. It ought to be noted that using Schauder fixed poin... In this paper, the existence of almost periodic solution to a second order nonlinear equation is investigated by contraction mapping principle under some conditions. It ought to be noted that using Schauder fixed point theorem to discuss such a problem will cause a failure. 展开更多
关键词 Linard equation almost periodic solution contraction mapping principle
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ON THE PLANE STRESS BOUNDARY VALUE PROBLEM OF QUASI-STATIC LINEAR THERMOELASTICITY
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作者 赵育求 林伟 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1997年第4期385-394,共6页
he stress boundary value problem of quasi-static linear thermoelasticity is discussed. The thermoelastic systems on bounded simply-connected domain is decoupled. The decoupled temperature equation is investigated by ... he stress boundary value problem of quasi-static linear thermoelasticity is discussed. The thermoelastic systems on bounded simply-connected domain is decoupled. The decoupled temperature equation is investigated by using accurate estimation and the contractive mapping principle. Representation of solution of the field equation is obtained, and some solvability results are proved. 展开更多
关键词 THERMOELASTICITY stress boundary value problem decoupling Bergman kernel of the domain contractive mapping principle
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