Nonlinear Equations In Abstract Spaces

Author : V. Lakshmikantham
Publisher : Elsevier
ISBN 13 : 1483272109
Total Pages : 494 pages
Book Rating : 4.08/5 ( download)

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Download or read book Nonlinear Equations in Abstract Spaces written by V. Lakshmikantham and published by Elsevier. This book was released on 2014-05-27 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in partial differential equations which arise from physical models can be considered as ordinary differential equations in appropriate infinite dimensional spaces, for which elegant theories and powerful techniques have recently been developed. This book gives a detailed account of the current state of the theory of nonlinear differential equations in a Banach space, and discusses existence theory for differential equations with continuous and discontinuous right-hand sides. Of special importance is the first systematic presentation of the very important and complex theory of multivalued discontinuous differential equations.

Author : Vangipuram Lakshmikantham
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.88/5 ( download)

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Download or read book Nonlinear Equations in Abstract Spaces written by Vangipuram Lakshmikantham and published by . This book was released on 1978 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : V. Lakshmikantham
Publisher : Pergamon
ISBN 13 :
Total Pages : 276 pages
Book Rating : 4.00/5 ( download)

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Download or read book Nonlinear Differential Equations in Abstract Spaces written by V. Lakshmikantham and published by Pergamon. This book was released on 1981 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in partial differential equations which arise from physical models can be considered as ordinary differential equations in appropriate infinite dimensional spaces, for which elegant theories and powerful techniques have recently been developed. This book gives a detailed account of the current state of the theory of nonlinear differential equations in a Banach space, and discusses existence theory for differential equations with continuous and discontinuous right-hand sides. Of special importance is the first systematic presentation of the very important and complex theory of multivalued discontinuous differential equations

Author : Dajun Guo
Publisher : Springer Science & Business Media
ISBN 13 : 1461312817
Total Pages : 350 pages
Book Rating : 4.19/5 ( download)

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Download or read book Nonlinear Integral Equations in Abstract Spaces written by Dajun Guo and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems arising in the physical sciences, engineering, biology and ap plied mathematics lead to mathematical models described by nonlinear integral equations in abstract spaces. The theory of nonlinear integral equations in ab stract spaces is a fast growing field with important applications to a number of areas of analysis as well as other branches of science. This book is devoted to a comprehensive treatment of nonlinear integral equations in abstract spaces. It is the first book that is dedicated to a systematic development of this subject, and it includes the developments during recent years. Chapter 1 introduces some basic results in analysis, which will be used in later chapters. Chapter 2, which is a main portion of this book, deals with nonlin ear integral equations in Banach spaces, including equations of Fredholm type, of Volterra type and equations of Hammerstein type. Some applica equations tions to nonlinear differential equations in Banach spaces are given. We also discuss an integral equation modelling infectious disease as a typical applica tion. In Chapter 3, we investigate the first order and second order nonlinear integro-differential equations in Banach spaces including equations of Volterra type and equations of mixed type. Chapter 4 is devoted to nonlinear impulsive integral equations in Banach spaces and their applications to nonlinear impul sive differential equations in Banach spaces.

Author : Lakshmikantham
Publisher : Academic Press
ISBN 13 : 0080955940
Total Pages : 231 pages
Book Rating : 4.40/5 ( download)

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Download or read book Differential Equations in Abstract Spaces written by Lakshmikantham and published by Academic Press. This book was released on 1972-06-16 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Equations in Abstract Spaces

Author : V. Lakshmikantham
Publisher :
ISBN 13 :
Total Pages : 483 pages
Book Rating : 4.35/5 ( download)

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Download or read book Nonlinear Equations in Abstract Spaces written by V. Lakshmikantham and published by . This book was released on 1978 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Vangipuram Lakshmikantham
Publisher :
ISBN 13 :
Total Pages : 484 pages
Book Rating : 4.98/5 ( download)

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Download or read book Nonlinear Equations in Abstract Spaces - Proceedings of an International Symposium on Nonlinear Equations in Abstract Spaces Held at the University of Texas at Arlington, Texas, June 8 written by Vangipuram Lakshmikantham and published by . This book was released on 1978 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Ki Sik Ha
Publisher : Springer Science & Business Media
ISBN 13 : 9401703655
Total Pages : 359 pages
Book Rating : 4.59/5 ( download)

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Download or read book Nonlinear Functional Evolutions in Banach Spaces written by Ki Sik Ha and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many problems in nonlinear partial differential equations with delay which arise from, for example, physical models, biochemical models, and social models. Some of them can be formulated as nonlinear functional evolutions in infinite-dimensional abstract spaces. Since Webb (1976) considered autonomous nonlinear functional evo lutions in infinite-dimensional real Hilbert spaces, many nonlinear an alysts have studied for the last nearly three decades autonomous non linear functional evolutions, non-autonomous nonlinear functional evo lutions and quasi-nonlinear functional evolutions in infinite-dimensional real Banach spaces. The techniques developed for nonlinear evolutions in infinite-dimensional real Banach spaces are applied. This book gives a detailed account of the recent state of theory of nonlinear functional evolutions associated with accretive operators in infinite-dimensional real Banach spaces. Existence, uniqueness, and stability for 'solutions' of nonlinear func tional evolutions are considered. Solutions are presented by nonlinear semigroups, or evolution operators, or methods of lines, or inequalities by Benilan. This book is divided into four chapters. Chapter 1 contains some basic concepts and results in the theory of nonlinear operators and nonlinear evolutions in real Banach spaces, that play very important roles in the following three chapters. Chapter 2 deals with autonomous nonlinear functional evolutions in infinite-dimensional real Banach spaces. Chapter 3 is devoted to non-autonomous nonlinear functional evolu tions in infinite-dimensional real Banach spaces. Finally, in Chapter 4 quasi-nonlinear functional evolutions are con sidered in infinite-dimensional real Banach spaces.

Author : Yuqing Chen
Publisher :
ISBN 13 :
Total Pages : 406 pages
Book Rating : 4.80/5 ( download)

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Download or read book Nonlinear Operators and Differential Equations in Abstract Spaces written by Yuqing Chen and published by . This book was released on 2000 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Ioannis K. Argyros
Publisher : CRC Press
ISBN 13 : 1000142450
Total Pages : 598 pages
Book Rating : 4.57/5 ( download)

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Download or read book Polynomial Operator Equations in Abstract Spaces and Applications written by Ioannis K. Argyros and published by CRC Press. This book was released on 2020-10-07 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polynomial operators are a natural generalization of linear operators. Equations in such operators are the linear space analog of ordinary polynomials in one or several variables over the fields of real or complex numbers. Such equations encompass a broad spectrum of applied problems including all linear equations. Often the polynomial nature of many nonlinear problems goes unrecognized by researchers. This is more likely due to the fact that polynomial operators - unlike polynomials in a single variable - have received little attention. Consequently, this comprehensive presentation is needed, benefiting those working in the field as well as those seeking information about specific results or techniques. Polynomial Operator Equations in Abstract Spaces and Applications - an outgrowth of fifteen years of the author's research work - presents new and traditional results about polynomial equations as well as analyzes current iterative methods for their numerical solution in various general space settings. Topics include: Special cases of nonlinear operator equations Solution of polynomial operator equations of positive integer degree n Results on global existence theorems not related with contractions Galois theory Polynomial integral and polynomial differential equations appearing in radiative transfer, heat transfer, neutron transport, electromechanical networks, elasticity, and other areas Results on the various Chandrasekhar equations Weierstrass theorem Matrix representations Lagrange and Hermite interpolation Bounds of polynomial equations in Banach space, Banach algebra, and Hilbert space The materials discussed can be used for the following studies Advanced numerical analysis Numerical functional analysis Functional analysis Approximation theory Integral and differential equation