A Class Of Functional Equations Of Neutral Type
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A Class of Functional Equations of Neutral Type
Author | : Jack K. Hale,Kenneth Ray Meyer |
Publsiher | : Unknown |
Total Pages | : 84 |
Release | : 1967 |
Genre | : Differential equations |
ISBN | : STANFORD:36105030753631 |
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Introduction to Functional Equations
Author | : Prasanna K. Sahoo,Palaniappan Kannappan |
Publsiher | : CRC Press |
Total Pages | : 465 |
Release | : 2011-02-08 |
Genre | : Mathematics |
ISBN | : 9781439841167 |
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Introduction to Functional Equations grew out of a set of class notes from an introductory graduate level course at the University of Louisville. This introductory text communicates an elementary exposition of valued functional equations where the unknown functions take on real or complex values. In order to make the presentation as manageable as p
Stability of Neutral Functional Differential Equations
Author | : Michael I. Gil' |
Publsiher | : Springer |
Total Pages | : 311 |
Release | : 2014-10-08 |
Genre | : Mathematics |
ISBN | : 9789462390911 |
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In this monograph the author presents explicit conditions for the exponential, absolute and input-to-state stabilities including solution estimates of certain types of functional differential equations. The main methodology used is based on a combination of recent norm estimates for matrix-valued functions, comprising the generalized Bohl-Perron principle, together with its integral version and the positivity of fundamental solutions. A significant part of the book is especially devoted to the solution of the generalized Aizerman problem.
Analytic Solutions of Functional Equations
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 135 |
Release | : 2024 |
Genre | : Electronic Book |
ISBN | : 9789814471725 |
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Theory of Functional Differential Equations
Author | : Jack K. Hale |
Publsiher | : Springer Science & Business Media |
Total Pages | : 374 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9781461298922 |
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Since the publication of my lecture notes, Functional Differential Equations in the Applied Mathematical Sciences series, many new developments have occurred. As a consequence, it was decided not to make a few corrections and additions for a second edition of those notes, but to present a more compre hensive theory. The present work attempts to consolidate those elements of the theory which have stabilized and also to include recent directions of research. The following chapters were not discussed in my original notes. Chapter 1 is an elementary presentation of linear differential difference equations with constant coefficients of retarded and neutral type. Chapter 4 develops the recent theory of dissipative systems. Chapter 9 is a new chapter on perturbed systems. Chapter 11 is a new presentation incorporating recent results on the existence of periodic solutions of autonomous equations. Chapter 12 is devoted entirely to neutral equations. Chapter 13 gives an introduction to the global and generic theory. There is also an appendix on the location of the zeros of characteristic polynomials. The remainder of the material has been completely revised and updated with the most significant changes occurring in Chapter 3 on the properties of solutions, Chapter 5 on stability, and Chapter lOon behavior near a periodic orbit.
Functional Equations with Causal Operators
Author | : C. Corduneanu |
Publsiher | : CRC Press |
Total Pages | : 185 |
Release | : 2002-09-05 |
Genre | : Mathematics |
ISBN | : 9780203166376 |
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Functional equations encompass most of the equations used in applied science and engineering: ordinary differential equations, integral equations of the Volterra type, equations with delayed argument, and integro-differential equations of the Volterra type. The basic theory of functional equations includes functional differential equations with cau
Stability and Time Optimal Control of Hereditary Systems
Author | : Chukwu |
Publsiher | : Academic Press |
Total Pages | : 507 |
Release | : 1992-05-22 |
Genre | : Computers |
ISBN | : 9780080958743 |
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Stability and Time-Optimal Control of Hereditary Systems
Differential Difference Equations
Author | : Bellman |
Publsiher | : Academic Press |
Total Pages | : 484 |
Release | : 1963-01-01 |
Genre | : Mathematics |
ISBN | : 9780080955148 |
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Differential-Difference Equations