Pub Date : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00060
J. Rui, W. Zuo
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.
{"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}
Pub Date : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00151
Shenghua Wang, Guo-fei Cheng
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.
{"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}
Pub Date : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00265
J. Wang, Mingxia He
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.
本文研究了非线性二阶三点边值问题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()， v(1) = v()，其中2(0,1)和0 < < 1。构造了相关线性边值问题的格林函数，得到了格林函数的几个有用性质。利用圆锥展开和压缩的不动点定理，建立了正解的存在性和多重性准则。
{"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}
Pub Date : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00280
Chunhan Liu, Jianguo Wang, Jiankai Sun
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.
{"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}
{"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}
Pub Date : 2013-01-01DOI: 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}
Pub Date : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00285
Liu Zhuan-lin
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.
本文研究了具有临界指数的非经典扩散方程u_t -△_ut-△_u = f(u) + g(x)在强拓扑空间H~2(Ω) n H_0~1(Ω)中指数吸引子的存在性。特别地，在证明了指数吸引子的存在性之后，我们知道在强拓扑空间[7,12,14]中具有分形维数有限的全局吸引子。
{"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}
Pub Date : 2013-01-01DOI: 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}
Pub Date : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00204
Chixiang Chen, B. Shen, Guang Yang
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.
{"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}
Pub Date : 2013-01-01DOI: 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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：