SERIES IN REAL ANALYSIS – serie
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18 produkter
GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS
Av Š Schwabik
Inbunden, 1992
2040 kr
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The contemporary approach of J Kurzweil and R Henstock to the Perron integral is applied to the theory of ordinary differential equations in this book. It focuses mainly on the problems of continuous dependence on parameters for ordinary differential equations. For this purpose, a generalized form …
UNIQUENESS AND NONUNIQUENESS CRITERIA FOR ORDINARY DIFFERENTIAL EQUATIONS
Av R P Agarwal, V Lakshmikantham
Inbunden, 1993
1758 kr
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This monograph aims to fill a void by making available a source book which first systematically describes all the available uniqueness and nonuniqueness criteria for ordinary differential equations, and compares and contrasts the merits of these criteria, and second, discusses open problems and …
NONABSOLUTE INTEGRATION ON MEASURE SPACES
Av Wee Leng Ng
Inbunden, 2017
1308 kr
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This book offers to the reader a self-contained treatment and systematic exposition of the real-valued theory of a nonabsolute integral on measure spaces. It is an introductory textbook to Henstock–Kurzweil type integrals defined on abstract spaces. It contains both classical and original results …
GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS: NOT ABSOLUTELY CONTINUOUS SOLUTIONS
Inbunden, 2012
1172 kr
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This book provides a systematic treatment of the Volterra integral equation by means of a modern integration theory which extends considerably the field of differential equations. It contains many new concepts and results in the framework of a unifying theory. In particular, this new approach is …
HENSTOCK-KURZWEIL INTEGRATION ON EUCLIDEAN SPACES
Inbunden, 2011
1628 kr
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The Henstock–Kurzweil integral, which is also known as the generalized Riemann integral, arose from a slight modification of the classical Riemann integral more than 50 years ago. This relatively new integral is known to be equivalent to the classical Perron integral; in particular, it includes the …
THEORIES OF INTEGRATION: THE INTEGRALS OF RIEMANN, LEBESGUE, HENSTOCK-KURZWEIL, AND MCSHANE (SECOND EDITION)
Av Douglas S Kurtz, Charles W Swartz
Inbunden, 2011
987 kr
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The book uses classical problems to motivate a historical development of the integration theories of Riemann, Lebesgue, Henstock–Kurzweil and McShane, showing how new theories of integration were developed to solve problems that earlier integration theories could not handle. It develops the basic …
KURZWEIL-STIELTJES INTEGRAL: THEORY AND APPLICATIONS
Av Giselle Antunes Monteiro, Antonín Slavík m. fl.
Inbunden, 2018
2041 kr
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The book is primarily devoted to the Kurzweil–Stieltjes integral and its applications in functional analysis, theory of distributions, generalized elementary functions, as well as various kinds of generalized differential equations, including dynamic equations on time scales. It continues the …
NON-UNIFORM RIEMANN APPROACH TO STOCHASTIC INTEGRATION, THE
Av Varayu Boonpogkrong, Tuan Seng Chew m. fl.
Inbunden, 2024
1114 kr
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This is the first book that presents the theory of stochastic integral using the generalized Riemann approach. Readers who are familiar with undergraduate calculus and want to have an easy access to the theory of stochastic integral will find most of this book pleasantly readable, especially the …
THEORY OF THE DENJOY INTEGRAL AND SOME APPLICATIONS, THE
Av V G Celidze, A G Dzvaršeišvili
Inbunden, 1989
1429 kr
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The Denjoy integral has not found many applications in analysis. Such applications as have been made are due mainly to authors of this book. The original papers are in difficult to obtain Soviet journals. This translation makes this important work available to wider audience and shows for the first …
LINEAR FUNCTIONAL ANALYSIS
Inbunden, 1992
1132 kr
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With an addendum by Wu Congxin (Harbin Institute of Technology)Linear Functional Analysis resulted from a series of lectures Orlicz gave in Beijing, China, 1958. The orignal edition was published in Chinese in 1963. It contains all the major theorems that would normally appear in a modern text, the …
HENSTOCK-KURZWEIL INTEGRATION: ITS RELATION TO TOPOLOGICAL VECTOR SPACES
Inbunden, 2000
1114 kr
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Henstock-Kurzweil (HK) integration, which is based on integral sums, can be obtained by an inconspicuous change in the definition of Riemann integration. It is an extension of Lebesgue integration and there exists an HK-integrable function f such that its absolute value |f| is not HK-integrable. In …
INTEGRATION BETWEEN THE LEBESGUE INTEGRAL AND THE HENSTOCK-KURZWEIL INTEGRAL: ITS RELATION TO LOCAL CONVEX VECTOR SPACES
Inbunden, 2002
994 kr
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The main topics of this book are convergence and topologization. Integration on a compact interval on the real line is treated with Riemannian sums for various integration bases. General results are specified to a spectrum of integrations, including Lebesgue integration, the Denjoy integration in …
THEORIES OF INTEGRATION: THE INTEGRALS OF RIEMANN, LEBESGUE, HENSTOCK-KURZWEIL, AND MCSHANE
Av Douglas S Kurtz, Charles W Swartz
Inbunden, 2004
1381 kr
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This book presents a historical development of the integration theories of Riemann, Lebesgue, Henstock–Kurzweil, and McShane, showing how new theories of integration were developed to solve problems that earlier theories could not handle. It develops the basic properties of each integral in detail …
TOPICS IN BANACH SPACE INTEGRATION
Inbunden, 2005
1584 kr
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The relatively new concepts of the Henstock–Kurzweil and McShane integrals based on Riemann type sums are an interesting challenge in the study of integration of Banach space-valued functions. This timely book presents an overview of the concepts developed and results achieved during the past 15 …
THEORIES OF INTEGRATION: THE INTEGRALS OF RIEMANN, LEBESGUE, HENSTOCK-KURZWEIL, AND MCSHANE
Av Douglas S Kurtz, Charles W Swartz
Häftad, 2004
649 kr
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This book presents a historical development of the integration theories of Riemann, Lebesgue, Henstock–Kurzweil, and McShane, showing how new theories of integration were developed to solve problems that earlier theories could not handle. It develops the basic properties of each integral in detail …
