微分方程與包含的拓撲方法 (美)約翰.R.格雷夫 9787576709407 【台灣高等教育出版社】
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物品所在地：中國大陸
原出版社：哈爾濱工業大學
物品所在地：中國大陸
原出版社：哈爾濱工業大學
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| *完成訂單後正常情形下約兩周可抵台。 *本賣場提供之資訊僅供參考，以到貨標的為正確資訊。 印行年月：202401*若逾兩年請先於私訊洽詢存貨情況，謝謝。 台灣(台北市)在地出版社，每筆交易均開具統一發票，祝您中獎最高1000萬元。 書名：微分方程與包含的拓撲方法 ISBN：9787576709407 出版社：哈爾濱工業大學 著編譯者：(美)約翰.R.格雷夫 頁數：367 所在地：中國大陸 *此為代購商品 書號：1626621 可大量預訂，請先連絡。 內容簡介 本書共分18章，介紹了本書將便用的多值分析的基本背景，討論了與菲托里斯拓撲的關係，研究了連續選擇定理、廣義度量、巴拿赫空間、向量度量空間中的不動點定理、半線上的脈衝微分方程系統、隨機不動點定理、半群。書中還重點研究了微分包含的線性和半線性系統，闡述了微分方程的隨機系統；第14章研究了涉及阿達瑪分數導數的隨機分數階微分方程，詳細介紹了微分方程，討論了離散包含的解的存在性和解空間的緊緻性，離散方程的半線性系統以及二階差分方程組的邊值問題。目錄 Introduction1 Background in Multi-valued Analysis 1 1 Some notions and definitions 1 2 Examples of multivalued mappings 1 3 Vietoris topology 1 4 Continuity concepts 1 5 Upper semicontinuity and closed graphs 1 6 Upper and lower semicontinuous (u s c and l s c ) functions and their relations 1 7 Lower semicontinuity and open graphs 1 8 Linear operations on nmltifunctions 1 9 Closed and proper multivalued maps 1 10 Open multivalued maps 1 11 Weakly upper and lower semicontinuous functions 1 12 The topology a(X， X*) 2 Hausdorff-Pompeiu Metric Topology 2 1 Hausdorff continuity 2 2 Hd-U S C， l s c ， and single-valued u s c and l s c functions 2 3 Fixed point theorems for multi-valued contractive mappings 3 Measurable Multifunctions 3 1 Measurable selection 3 2 Scalar measurable 3 2 1 Scalarly measurable selection 3 3 Lusin's theorem type 3 4 Hausdorff-measurable multivalued maps 3 5 The Scorza-Dragoni property 3 6 Lp selection 4 Continuous Selection Theorems 4 1 Partitions of unity 4 2 Michael's selection ttmorem 5 Linear Multivalued Operators 5 1 Uniform boundedness principle 5 2 Norm of linear multivalued operators 6 Fixed Point Theorems 6 1 Approximation methods and fixed point theorems 6 2 Schauder-Tychonoff fixed point theorem 6 3 Fan's fixed point theorem 6 4 Krasnosel'skii-type fixed point theorems 6 4 1 Krasnosel'skii-type fixed point theorem for weakly-weakly u 6 4 2 Krasnosel'skii-type fixed point theorem for u 6 4 3 Expansive Krasnosel'skii type fixed point theorem 6 4 4 Expansive Krasnosel'skii-type fixed point theorem for weakly continuous maps 6 4 5 Expansive Krasnosel'skii-type fixed point theorem for weakly-weakly U 6 4 6 Krasnosel'skii type in a Fr6chet space 6 4 7 Measure of noncompactness and Krasnosel'skii's theorem 6 5 Fixed point theorems for sums of two multivalued operators 6 6 Kakutani fixed point theorem type in topological vector spaces 6 7 Krasnosel'skii-type fixed point theorem in topological vector spaces 7 Generalized Metric and Banach Spaces 7 1 Generalized metric space 7 2 Generalized Banach space 7 3 Matrix convergence 8 Fixed Point Theorems in Vector Metric and Banach Spaces 8 1 Banach principle theorem 8 2 Continuation methods for contractive maps 8 3 Perov fixed point type for expansive mapping 8 4 Leray-Schauder type theorem 8 5 Measure of noncompactness 8 6 Approximation method and Perov type fixed point theorem 8 7 Covitz and Nadler type fixed point theorems 8 8 Fixed point index 8 9 Legggett-Williams type fixed point results 8 10 Legggett-Williams type fixed point theorems in vector Banach spaces 8 11 Multiple fixed points 9 Random Fixed Point Theorems 9 1 Principle expansive mapping 9 2 Approximation method and Krasnosel'skii-type fixed point theorems 9 3 Random fixed point for a Cartesian product of operators 9 4 Measurable selection in vector metric space 9 5 Perov random fixed point theorem 9 6 Schauder and Krasnosel'skii type random fixed point 10 Semigroups 10 1 C0-semigroups 10 1 1 Analytic semigroups 10 2 Fractional powers of closed operators 11 Systems of Impulsive Differential Equations on Half-lines 11 1 Uniqueness and continuous dependence on initial data 11 2 Existence and compactness of solution sets 12 Differential Inclusions 12 1 Filippov's theorem on a bounded intervals 12 2 Impulsive semilinear differential inclusions 12 2 1 Existence results 12 3 Impulsive Stokes differential inclusions 12 4 Differential inclusions in Almgren sense 12 4 1 Multiple-valued function in Almgren sense 12 4 2 Existence result on unbounded domains 12 5 Inclusions in Almgren sense with Riemann-Liouville derivatives 12 5 1 Fractional calculus 12 5 2 詳細資料或其他書籍請至台灣高等教育出版社查詢，查後請於PChome商店街私訊告知ISBN或書號，我們即儘速上架。 |
