Differential and Integral Inequalities: Theory and Applications

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Publisher : Academic Press
ISBN 13 : 0080955630
Total Pages : 405 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Differential and Integral Inequalities: Theory and Applications by : V. Lakshmikantham

Download or read book Differential and Integral Inequalities: Theory and Applications written by V. Lakshmikantham and published by Academic Press. This book was released on 1969 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the first part of a monograph on theory and applications of differential and integral inequalities. 'The entire work, as a whole, is intended to be a research monograph, a guide to the literature, and a textbook for advanced courses. The unifying theme of this treatment is a systematic development of the theory and applicationsof differential inequalities as well as Volterra integral inequalities. The main tools for applications are the norm and the Lyapunov functions. Familiarity with real and complex analysis, elements of general topology and functional analysis, and differential and integral equations is assumed.

DIFFERENTIAL AND INTEGRAL INEQUALITIES

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (963 download)

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Book Synopsis DIFFERENTIAL AND INTEGRAL INEQUALITIES by : V. LAKKSHMIKANTHAM

Download or read book DIFFERENTIAL AND INTEGRAL INEQUALITIES written by V. LAKKSHMIKANTHAM and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integral Inequalities and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9401580340
Total Pages : 254 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Integral Inequalities and Applications by : D.D. Bainov

Download or read book Integral Inequalities and Applications written by D.D. Bainov and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to integral inequalities of the Gronwall-Bellman-Bihari type. Following a systematic exposition of linear and nonlinear inequalities, attention is paid to analogues including integro-differential inequalities, functional differential inequalities, and discrete and abstract analogues. Applications to the investigation of the properties of solutions of various classes of equations such as uniqueness, stability, dichotomy, asymptotic equivalence and behaviour is also discussed. The book comprises three chapters. Chapter I and II consider classical linear and nonlinear integral inequalities. Chapter III is devoted to various classes of integral inequalities of Gronwall type, and their analogues, which find applications in the theory of integro-differential equations, partial differential equations, differential equations with deviating argument, impube differential equations, etc. Each chapter concludes with a section illustrating the manner of application. The book also contains an extensive bibliography. For researchers whose work involves the theory and application of integral inequalities in mathematics, engineering and physics.

Differential and Integral Inequalities

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Author :
Publisher : Springer Nature
ISBN 13 : 3030274071
Total Pages : 848 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Differential and Integral Inequalities by : Dorin Andrica

Download or read book Differential and Integral Inequalities written by Dorin Andrica and published by Springer Nature. This book was released on 2019-11-14 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy–Hadamard, Chebychev, Markov, Euler’s constant, Grothendieck, Hilbert, Hardy, Carleman, Landau–Kolmogorov, Carlson, Bernstein–Mordell, Gronwall, Wirtinger, as well as inequalities of functions with their integrals and derivatives. Each inequality is discussed with proven results, examples and various applications. Graduate students and advanced research scientists in mathematical analysis will find this reference essential to their understanding of differential and integral inequalities. Engineers, economists, and physicists will find the highly applicable inequalities practical and useful to their research.

Differential and integral inequalities; theory and applications PART B: Functional, partial, abstract, and complex differential equations

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Publisher : Academic Press
ISBN 13 : 0080955649
Total Pages : 335 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Differential and integral inequalities; theory and applications PART B: Functional, partial, abstract, and complex differential equations by : Lakshmikantham

Download or read book Differential and integral inequalities; theory and applications PART B: Functional, partial, abstract, and complex differential equations written by Lakshmikantham and published by Academic Press. This book was released on 1969 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential and integral inequalities; theory and applications PART B: Functional, partial, abstract, and complex differential equations

Differential and Integral Inequalities: Theory and Applications. Volume I: Ordinary Differential Equations

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (113 download)

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Book Synopsis Differential and Integral Inequalities: Theory and Applications. Volume I: Ordinary Differential Equations by :

Download or read book Differential and Integral Inequalities: Theory and Applications. Volume I: Ordinary Differential Equations written by and published by . This book was released on 1969 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential and Integral Inequalities

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Publisher :
ISBN 13 : 9780124341012
Total Pages : 390 pages
Book Rating : 4.3/5 (41 download)

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Book Synopsis Differential and Integral Inequalities by : V. Lakshmikantham

Download or read book Differential and Integral Inequalities written by V. Lakshmikantham and published by . This book was released on 1969 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Inequalities for Differential and Integral Equations

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Publisher : Elsevier
ISBN 13 : 0080534643
Total Pages : 623 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Inequalities for Differential and Integral Equations by :

Download or read book Inequalities for Differential and Integral Equations written by and published by Elsevier. This book was released on 1997-11-12 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inequalities for Differential and Integral Equations has long been needed; it contains material which is hard to find in other books. Written by a major contributor to the field, this comprehensive resource contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools in the development of applications in the theory of new classes of differential and integral equations. For researchers working in this area, it will be a valuable source of reference and inspiration. It could also be used as the text for an advanced graduate course. Covers a variety of linear and nonlinear inequalities which find widespread applications in the theory of various classes of differential and integral equations Contains many inequalities which have only recently appeared in literature and cannot yet be found in other books Provides a valuable reference to engineers and graduate students

Differential and Integral Inequalities

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Publisher : Springer Science & Business Media
ISBN 13 : 3642864058
Total Pages : 364 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Differential and Integral Inequalities by : Wolfgang Walter

Download or read book Differential and Integral Inequalities written by Wolfgang Walter and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1964 the author's mono graph "Differential- und Integral-Un gleichungen," with the subtitle "und ihre Anwendung bei Abschätzungs und Eindeutigkeitsproblemen" was published. The present volume grew out of the response to the demand for an English translation of this book. In the meantime the literature on differential and integral in equalities increased greatly. We have tried to incorporate new results as far as possible. As a matter of fact, the Bibliography has been almost doubled in size. The most substantial additions are in the field of existence theory. In Chapter I we have included the basic theorems on Volterra integral equations in Banach space (covering the case of ordinary differential equations in Banach space). Corresponding theorems on differential inequalities have been added in Chapter II. This was done with a view to the new sections; dealing with the line method, in the chapter on parabolic differential equations. Section 35 contains an exposition of this method in connection with estimation and convergence. An existence theory for the general nonlinear parabolic equation in one space variable based on the line method is given in Section 36. This theory is considered by the author as one of the most significant recent applications of in equality methods. We should mention that an exposition of Krzyzanski's method for solving the Cauchy problem has also been added. The numerous requests that the new edition include a chapter on elliptic differential equations have been satisfied to some extent.

Differential and Integral Inequalities: Theory and Applications. Volume II: Functional, Partial, Abstract, and Complex Differential Equations

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (113 download)

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Book Synopsis Differential and Integral Inequalities: Theory and Applications. Volume II: Functional, Partial, Abstract, and Complex Differential Equations by :

Download or read book Differential and Integral Inequalities: Theory and Applications. Volume II: Functional, Partial, Abstract, and Complex Differential Equations written by and published by . This book was released on 1969 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

DIFFERENTIAL AND INTEGRAL INEQUALITIES, THEORY AND APPLICATIONS, VOL. 02. FUNCTIONAL, PARTIAL, ABSTRACT, AND COMPLEX DIFFERENTIAL EQUATIONS.

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (133 download)

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Book Synopsis DIFFERENTIAL AND INTEGRAL INEQUALITIES, THEORY AND APPLICATIONS, VOL. 02. FUNCTIONAL, PARTIAL, ABSTRACT, AND COMPLEX DIFFERENTIAL EQUATIONS. by : V. LAKSHMIKANTHAM

Download or read book DIFFERENTIAL AND INTEGRAL INEQUALITIES, THEORY AND APPLICATIONS, VOL. 02. FUNCTIONAL, PARTIAL, ABSTRACT, AND COMPLEX DIFFERENTIAL EQUATIONS. written by V. LAKSHMIKANTHAM and published by . This book was released on 1969 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential and Integral Inequalities

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (977 download)

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Book Synopsis Differential and Integral Inequalities by : V. Lakshmikantham

Download or read book Differential and Integral Inequalities written by V. Lakshmikantham and published by . This book was released on 1969 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential and Integral Inequalities

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Publisher :
ISBN 13 :
Total Pages : 390 pages
Book Rating : 4.:/5 (316 download)

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Book Synopsis Differential and Integral Inequalities by : V. Lakshmikantham

Download or read book Differential and Integral Inequalities written by V. Lakshmikantham and published by . This book was released on 1969 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential and Integral Inequalities: Ordinary differential equations

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Publisher :
ISBN 13 : 9780124341029
Total Pages : 319 pages
Book Rating : 4.3/5 (41 download)

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Book Synopsis Differential and Integral Inequalities: Ordinary differential equations by : V. Lakshmikantham

Download or read book Differential and Integral Inequalities: Ordinary differential equations written by V. Lakshmikantham and published by . This book was released on 1969 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential and integral inequalities; theory and applications PART B: Functional, partial, abstract, and complex differential equations.

Opial Inequalities with Applications in Differential and Difference Equations

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Publisher :
ISBN 13 : 9789401584272
Total Pages : 412 pages
Book Rating : 4.5/5 (842 download)

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Book Synopsis Opial Inequalities with Applications in Differential and Difference Equations by : R. P. Agarwal

Download or read book Opial Inequalities with Applications in Differential and Difference Equations written by R. P. Agarwal and published by . This book was released on 2014-01-15 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Inequalities Involving Functions and Their Integrals and Derivatives

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792313304
Total Pages : 606 pages
Book Rating : 4.3/5 (133 download)

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Book Synopsis Inequalities Involving Functions and Their Integrals and Derivatives by : Dragoslav S. Mitrinovic

Download or read book Inequalities Involving Functions and Their Integrals and Derivatives written by Dragoslav S. Mitrinovic and published by Springer Science & Business Media. This book was released on 1991-07-31 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a comprehensive, up-to-date survey of inequalities that involve a relationship between a function and its derivatives or integrals. The book is divided into 18 chapters, some of which are devoted to specific inequalities such as those of Kolmogorov-Landau, Wirtinger, Hardy, Carlson, Hilbert, Caplygin, Lyapunov, Gronwell and others. Over 800 references to the literature are cited; proofs are given when these provide insight into the general methods involved; and applications, especially to the theory of differential equations, are mentioned when appropriate. This volume will interest all those whose work involves differential and integral equations. It can also be recommended as a supplementary text.

Differential and Integral Inequalities: Functional, partial, abstract, and complex differential equations

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Publisher :
ISBN 13 : 9780124341029
Total Pages : pages
Book Rating : 4.3/5 (41 download)

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Book Synopsis Differential and Integral Inequalities: Functional, partial, abstract, and complex differential equations by : V. Lakshmikantham

Download or read book Differential and Integral Inequalities: Functional, partial, abstract, and complex differential equations written by V. Lakshmikantham and published by . This book was released on 1969 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: