This book deals with the existence and stability of solutions to initial and boundary value problems for functional differential and integral equations and inclusions involving the Riemann-Liouville, Caputo, and Hadamard fractional derivatives and integrals. A wide variety of topics is covered in a mathematically rigorous manner making this work a valuable source of information for graduate students and researchers working with problems in fractional calculus.
Contents Preliminary Background Nonlinear Implicit Fractional Differential Equations Impulsive Nonlinear Implicit Fractional Differential Equations Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations Boundary Value Problems for Impulsive NIFDE Integrable Solutions for Implicit Fractional Differential Equations Partial Hadamard Fractional Integral Equations and Inclusions Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions Hadamard-Stieltjes Fractional Integral Equations Ulam Stabilities for Random Hadamard Fractional Integral Equations
Описание: Addressing a critical growth area in materials science, this volume features papers presented at the 2012 International Conference on 3D Materials Science, organized by The Minerals, Metals & Materials Society (TMS).
The authors give a treatment of the theory of ordinary differential equations (ODEs) that is excellent for a first course at the graduate level as well as for individual study. The reader will find it to be a captivating introduction with a number of non-routine exercises dispersed throughout the book.
The authors begin with a study of initial value problems for systems of differential equations including the Picard and Peano existence theorems. The continuability of solutions, their continuous dependence on initial conditions, and their continuous dependence with respect to parameters are presented in detail. This is followed by a discussion of the differentiability of solutions with respect to initial conditions and with respect to parameters. Comparison results and differential inequalities are included as well.
Linear systems of differential equations are treated in detail as is appropriate for a study of ODEs at this level. Just the right amount of basic properties of matrices are introduced to facilitate the observation of matrix systems and especially those with constant coefficients. Floquet theory for linear periodic systems is presented and used to analyze nonhomogeneous linear systems.
Stability theory of first order and vector linear systems are considered. The relationships between stability of solutions, uniform stability, asymptotic stability, uniformly asymptotic stability, and strong stability are examined and illustrated with examples as is the stability of vector linear systems. The book concludes with a chapter on perturbed systems of ODEs.
The authors give a systematic introduction to boundary value problems (BVPs) for ordinary differential equations. The book is a graduate level text and good to use for individual study. With the relaxed style of writing, the reader will find it to be an enticing invitation to join this important area of mathematical research. Starting with the basics of boundary value problems for ordinary differential equations, linear equations and the construction of Green's functions are presented clearly.
A discussion of the important question of the existence of solutions to both linear and nonlinear problems plays a central role in this volume and this includes solution matching and the comparison of eigenvalues.
The important and very active research area on existence and multiplicity of positive solutions is treated in detail. The last chapter is devoted to nodal solutions for BVPs with separated boundary conditions as well as for non-local problems.
Автор: Baetens, Jan De Graef, Ortwin Mandolessi, Silvana Название: Digital reason ISBN: 9462702063 ISBN-13(EAN): 9789462702066 Издательство: Неизвестно Рейтинг: Цена: 3449.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A popular trend of the digital era, gender-reveal parties have captured the cultural imagination and fostered divisive discourse. This book explores several related aspects including technologies of reproduction and media; community and competition; visibility and signifying the unborn; consumerist imperatives; and those uninvited from this trend.
Although largely forgotten now, the 1885 trial of German artist Gustav Graef was a seminal event for those who observed it. Graef, a celebrated sixty-four-year-old portraitist, was accused of perjury and sexual impropriety with underage models. On trial alongside him was one of his former models, the twenty-one-year-old Bertha Rother, who quickly became a central figure in the affair. As the case was being heard, images of Rother, including photographic reproductions of Graef's nude paintings of her, began to flood the art shops and bookstores of Berlin and spread across Europe. Spurred by this trade in images and by sensational coverage in the press, this former prostitute was transformed into an international sex symbol and a target of both public lust and scorn. Passionate discussions of the case echoed in the press for months, and the episode lasted in public memory for far longer.
The Graef trial, however, was much more than a salacious story that served as public entertainment. The case inspired fierce political debates long after a verdict was delivered, including disputes about obscenity laws, the moral degeneracy of modern art and artists, the alleged pernicious effects of Jewish influence, legal restrictions on prostitution, the causes of urban criminality, the impact of sensationalized press coverage, and the requirements of bourgeois masculine honor. Above all, the case unleashed withering public criticism of a criminal justice system that many Germans agreed had become entirely dysfunctional. The story of the Graef trial offers a unique perspective on a German Empire that was at the height of its power, yet riven with deep political, social, and cultural divisions. This compelling study will appeal to historians and students of modern German and European history, as well as those interested in obscenity law and class and gender relations in nineteenth-century Europe.
Автор: Graef Hilda C. Название: Modern Gloom and Christian Hope ISBN: 1258336375 ISBN-13(EAN): 9781258336370 Издательство: Неизвестно Цена: 4957.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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