Theory of Third-Order Differential Equations

Theory of Third-Order Differential Equations PDF

Author: Seshadev Padhi

Publisher: Springer Science & Business Media

Published: 2013-10-16

Total Pages: 507

ISBN-13: 8132216148

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This book discusses the theory of third-order differential equations. Most of the results are derived from the results obtained for third-order linear homogeneous differential equations with constant coefficients. M. Gregus, in his book written in 1987, only deals with third-order linear differential equations. These findings are old, and new techniques have since been developed and new results obtained. Chapter 1 introduces the results for oscillation and non-oscillation of solutions of third-order linear differential equations with constant coefficients, and a brief introduction to delay differential equations is given. The oscillation and asymptotic behavior of non-oscillatory solutions of homogeneous third-order linear differential equations with variable coefficients are discussed in Ch. 2. The results are extended to third-order linear non-homogeneous equations in Ch. 3, while Ch. 4 explains the oscillation and non-oscillation results for homogeneous third-order nonlinear differential equations. Chapter 5 deals with the z-type oscillation and non-oscillation of third-order nonlinear and non-homogeneous differential equations. Chapter 6 is devoted to the study of third-order delay differential equations. Chapter 7 explains the stability of solutions of third-order equations. Some knowledge of differential equations, analysis and algebra is desirable, but not essential, in order to study the topic.

An Introductory Dictionary of Theology and Religious Studies

An Introductory Dictionary of Theology and Religious Studies PDF

Author: Orlando O. Espín

Publisher: Liturgical Press

Published: 2007

Total Pages: 1566

ISBN-13: 9780814658567

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Spanning the gamut from "Aaron" to "Zwingli," this dictionary includes nearly 3,000 entries written by about sixty authors, all of whom are specialists in their various theological and religious disciplines. The editors have designed the dictionary especially to aid the introductory-level student with instant access to definitions of terms likely to be encountered in, but not to substitute for, classroom presentations or reading assignments. - Publisher.

Third Order Linear Differential Equations

Third Order Linear Differential Equations PDF

Author: Michal Gregus

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 285

ISBN-13: 9400937156

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Approach your problems from the right It isn't that they can't see the solution. It end and begin with the answers. Then is that they can't see the problem. one day, perhaps you will find the final question. G. K. Chesterton. The Scandal of Father Brown 'The Point of a Pin'. 'The Hermit Gad in Crane Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. How ever, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the stI11fture of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisci plines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classifi~ation schemes.

The Changing World Religion Map

The Changing World Religion Map PDF

Author: Stanley D. Brunn

Publisher: Springer

Published: 2015-02-03

Total Pages: 3858

ISBN-13: 940179376X

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This extensive work explores the changing world of religions, faiths and practices. It discusses a broad range of issues and phenomena that are related to religion, including nature, ethics, secularization, gender and identity. Broadening the context, it studies the interrelation between religion and other fields, including education, business, economics and law. The book presents a vast array of examples to illustrate the changes that have taken place and have led to a new world map of religions. Beginning with an introduction of the concept of the “changing world religion map”, the book first focuses on nature, ethics and the environment. It examines humankind’s eternal search for the sacred, and discusses the emergence of “green” religion as a theme that cuts across many faiths. Next, the book turns to the theme of the pilgrimage, illustrated by many examples from all parts of the world. In its discussion of the interrelation between religion and education, it looks at the role of missionary movements. It explains the relationship between religion, business, economics and law by means of a discussion of legal and moral frameworks, and the financial and business issues of religious organizations. The next part of the book explores the many “new faces” that are part of the religious landscape and culture of the Global North (Europe, Russia, Australia and New Zealand, the U.S. and Canada) and the Global South (Latin America, Africa and Asia). It does so by looking at specific population movements, diasporas, and the impact of globalization. The volume next turns to secularization as both a phenomenon occurring in the Global religious North, and as an emerging and distinguishing feature in the metropolitan, cosmopolitan and gateway cities and regions in the Global South. The final part of the book explores the changing world of religion in regards to gender and identity issues, the political/religious nexus, and the new worlds associated with the virtual technologies and visual media.

Time-Varying Sliding Modes for Second and Third Order Systems

Time-Varying Sliding Modes for Second and Third Order Systems PDF

Author: Andrzej Bartoszewicz

Publisher: Springer

Published: 2009-02-24

Total Pages: 200

ISBN-13: 3540922172

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A principal objective of control engineering is to design control systems which are robust with respect to external disturbances and modelling uncertainty. This objective may be well achieved using the sliding mode technique - which is the main subject of this monograph. More precisely, “Time-Varying Sliding Modes for Second and Third Order Systems” focuses on only one, but very important aspect of the sliding mode system design, i.e. the problem of the sliding plane selection. In this self-contained monograph, the main notions and concepts used in the field of variable structure systems and sliding mode control are presented before in the main part the issue of the switching surface design is discussed. This is done by considering two standard plants, which are very often encountered in the control engineering practice: the second and the third order nonlinear and possibly time-varying systems.

The Third Order

The Third Order PDF

Author: Alec Ferrari

Publisher: The Third Order

Published: 2010-08-17

Total Pages: 187

ISBN-13: 0557602890

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Good souls tend to see what is beautiful in the being, while poor souls can only see the nefarious. Special souls are a little beyond that: they see the truth!