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Existence and Uniqueness of Strong Solutions for a Parabolic Quasilinear Problem with Perturbations 一类带扰动抛物型拟线性问题强解的存在唯一性
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 10.3724/SP.J.1160.2013.00060
J. Rui, W. Zuo
{"title":"Existence and Uniqueness of Strong Solutions for a Parabolic Quasilinear Problem with Perturbations","authors":"J. Rui, W. Zuo","doi":"10.3724/SP.J.1160.2013.00060","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00060","url":null,"abstract":"In this paper,we prove existence and uniqueness of strong solutions for perturbations of a parabolic quasilinear problem with Dirichlet boundary conditions when the initial data is an L~2(Ω) function.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"60"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69838481","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
L-R Moder of a Proliferating Cell Population with Unsmooth Boundary Conditions 非光滑边界条件下细胞增殖群体的L-R模型
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 10.3724/SP.J.1160.2013.00151
Shenghua Wang, Guo-fei Cheng
{"title":"L-R Moder of a Proliferating Cell Population with Unsmooth Boundary Conditions","authors":"Shenghua Wang, Guo-fei Cheng","doi":"10.3724/SP.J.1160.2013.00151","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00151","url":null,"abstract":"The objective of this paper is to research L-R moder of an age structured and infinite cycle length proliferating cell population with unsmooth boundary conditions in L~p-space(1≤p+∞).It is discussed the spectral analysis of corresponding transport operators for this moder,and it is to obtain that the spectrum of the transport operators consists of countable isolate eigenvalues with finite algebraic mutiplicities in half plane.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"151"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69838535","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Positive Solutions to System of Nonlinear Second-Order Three-Point Boundary Value Problem 非线性二阶三点边值问题的正解
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 10.3724/SP.J.1160.2013.00265
J. Wang, Mingxia He
{"title":"Positive Solutions to System of Nonlinear Second-Order Three-Point Boundary Value Problem","authors":"J. Wang, Mingxia He","doi":"10.3724/SP.J.1160.2013.00265","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00265","url":null,"abstract":"In this paper, we investigate the following system of nonlinear second-order three-point boundary value problem 8 > > u 00 = f(t,v), t 2 (0,1), v 00 = g(t, u), t 2 (0,1), u(0) = �u(�), u(1) = �u(�), v(0) = �v(�), v(1) = �v(�), where � 2 (0,1) and 0 < � � � < 1. Green’s function for the associated linear boundary value problem is constructed, and several useful properties of the Green’s function are obtained. Existence and multiplicity criteria of positive solutions are established by using the well-known fixed point theorems of cone expansion and compression.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"265"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69839518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Random Fixed Point Theorems for Ordered Contractive Maps 有序压缩映射的随机不动点定理
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 10.3724/SP.J.1160.2013.00280
Chunhan Liu, Jianguo Wang, Jiankai Sun
{"title":"Random Fixed Point Theorems for Ordered Contractive Maps","authors":"Chunhan Liu, Jianguo Wang, Jiankai Sun","doi":"10.3724/SP.J.1160.2013.00280","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00280","url":null,"abstract":"In this paper,by using systems of random Mann iteration schemes,we discuss the existence of random fixed points of random maps in Banach space,and several convergent theorems for random fixed points are given.The results generalize and improve some recent results.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"280"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69839699","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Approximation of Lipschitz Continuous Function on the Orlicz-Sobolev Space Orlicz-Sobolev空间上Lipschitz连续函数的逼近
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 10.3724/SP.J.1160.2013.00250
Chunfang Liu, Yongqiang Fu, Yuesheng Luo, Shilei Zhang
{"title":"Approximation of Lipschitz Continuous Function on the Orlicz-Sobolev Space","authors":"Chunfang Liu, Yongqiang Fu, Yuesheng Luo, Shilei Zhang","doi":"10.3724/SP.J.1160.2013.00250","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00250","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"38 1","pages":"251"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69839104","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Level-boundedness of the Penalized NR Function for Symmetric Cone Complementarity Problem 对称锥互补问题惩罚NR函数的水平有界性
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 10.3724/SP.J.1160.2013.00337
Yunsheng Zheng, Leifu Gao
{"title":"Level-boundedness of the Penalized NR Function for Symmetric Cone Complementarity Problem","authors":"Yunsheng Zheng, Leifu Gao","doi":"10.3724/SP.J.1160.2013.00337","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00337","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"337"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69839561","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Exponential Attractors in Strong Topology Space for a Nonclassical Diffusion Equation 非经典扩散方程强拓扑空间中的指数吸引子
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 10.3724/SP.J.1160.2013.00285
Liu Zhuan-lin
{"title":"Exponential Attractors in Strong Topology Space for a Nonclassical Diffusion Equation","authors":"Liu Zhuan-lin","doi":"10.3724/SP.J.1160.2013.00285","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00285","url":null,"abstract":"In this article,we study the existence of exponential attractors in the strong topology space H~2(Ω) n H_0~1(Ω) for the nonclassical Diffusion Equation u_t — △_ut- △_u = f(u) + g(x) with critical exponent.In particular,after proving the existence of exponential attractors,we know that the global attractor in the strong topology space in[7,12,14]with finiteness of fractal dimension.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"61 19 1","pages":"285"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69839727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence and Uniqueness of Nontrivial Solutions for Second Order Difference Equation with Robin Boundary Value Problems 具有Robin边值问题的二阶差分方程非平凡解的存在唯一性
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 10.3724/SP.J.1160.2013.00118
Keyu Zhang, Jia Xu
{"title":"Existence and Uniqueness of Nontrivial Solutions for Second Order Difference Equation with Robin Boundary Value Problems","authors":"Keyu Zhang, Jia Xu","doi":"10.3724/SP.J.1160.2013.00118","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00118","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"118"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69838574","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Pricing of Vulnerable Options Under Jump-Diffusion Model 跳跃-扩散模型下脆弱期权的定价
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 10.3724/SP.J.1160.2013.00204
Chixiang Chen, B. Shen, Guang Yang
{"title":"The Pricing of Vulnerable Options Under Jump-Diffusion Model","authors":"Chixiang Chen, B. Shen, Guang Yang","doi":"10.3724/SP.J.1160.2013.00204","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00204","url":null,"abstract":"This paper addresses the valuation of Vulnerable European Call Options which might default before the option's maturity.Default occurs when the writer's asset liability ratio is less than one specific critical level,the asset liability ratio that follows geometric Brownian motion.Once default happens,the option will be executed immediately,and the compensation rate is exogenous variable.Moreover,the stock price follows jump-diffusion model where the jumping size is considered more generally.This paper improves Rich's and WEI Zhengyuan's works by simplifying the model and perfecting the evaluation of default time,and it provides data analysis realized by Matlab.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"204"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69838713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Strong Convergence Theorems for Equilibrium Problems and Quasi φ-asymptotically Nonexpansive Mappings 平衡问题与拟φ-渐近非扩张映射的强收敛定理
应用泛函分析学报 Pub Date : 2013-01-01 DOI: 10.3724/SP.J.1160.2013.00367
Shouguo Zhu
{"title":"Strong Convergence Theorems for Equilibrium Problems and Quasi φ-asymptotically Nonexpansive Mappings","authors":"Shouguo Zhu","doi":"10.3724/SP.J.1160.2013.00367","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00367","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"367"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69840104","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 11
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