ON THE SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENCE EQUATIONS WITH POLYNOMIAL COEFFICIENTS.

ON THE SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENCE EQUATIONS WITH POLYNOMIAL COEFFICIENTS. PDF Author: FRANK SWAN BEALE
Publisher:
ISBN:
Category :
Languages : en
Pages : 94

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ON THE SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENCE EQUATIONS WITH POLYNOMIAL COEFFICIENTS.

ON THE SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENCE EQUATIONS WITH POLYNOMIAL COEFFICIENTS. PDF Author: FRANK SWAN BEALE
Publisher:
ISBN:
Category :
Languages : en
Pages : 94

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Book Description


Linear Partial Differential and Difference Equations and Simultaneous Systems with Constant or Homogeneous Coefficients

Linear Partial Differential and Difference Equations and Simultaneous Systems with Constant or Homogeneous Coefficients PDF Author: Luis Manuel Braga da Costa Campos
Publisher: CRC Press
ISBN: 1040010172
Category : Mathematics
Languages : en
Pages : 243

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Book Description
Linear Partial Differential and Difference Equations and Simultaneous Systems: With Constant or Homogeneous Coefficients is part of the series "Mathematics and Physics for Science and Technology," which combines rigorous mathematics with general physical principles to model practical engineering systems with a detailed derivation and interpretation of results. Volume V presents the mathematical theory of partial differential equations and methods of solution satisfying initial and boundary conditions, and includes applications to: acoustic, elastic, water, electromagnetic and other waves; the diffusion of heat, mass, and electricity; and their interactions. This is the third book of the volume. The book starts with six different methods of solution of linear partial differential equations (p.d.e.) with constant coefficients. One of the methods, namely characteristic polynomial, is then extended to a further five classes, including linear p.d.e. with homogeneous power coefficients and finite difference equations and simultaneous systems of both (simultaneous partial differential equations [s.p.d.e.] and simultaneous finite difference equations [s.f.d.e.]). The applications include detailed solutions of the most important p.d.e. in physics and engineering, including the Laplace, heat, diffusion, telegraph, bar, and beam equations. The free and forced solutions are considered together with boundary, initial, asymptotic, starting, and other conditions. The book is intended for graduate students and engineers working with mathematical models and can be applied to problems in mechanical, aerospace, electrical, and other branches of engineering dealing with advanced technology, and also in the physical sciences and applied mathematics.

On the Relation Between Linear Difference and Differential Equations with Polynomial Coefficients, III

On the Relation Between Linear Difference and Differential Equations with Polynomial Coefficients, III PDF Author: Geertrui Klara Immink
Publisher:
ISBN:
Category :
Languages : en
Pages :

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On the Solutions of Linear Differential Equations with Polynomial Coefficients

On the Solutions of Linear Differential Equations with Polynomial Coefficients PDF Author: Khalid Alshammari
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Signals and Systems

Signals and Systems PDF Author: Richard Baraniuk
Publisher: Orange Grove Texts Plus
ISBN: 9781616100681
Category :
Languages : en
Pages : 0

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Book Description
This text deals with signals, systems, and transforms, from their theoretical mathematical foundations to practical implementation in circuits and computer algorithms. At its conclusion, learners will have a deep understanding of the mathematics and practical issues of signals in continuous and discrete time, linear time invariant systems, convolution, and Fourier transforms.

Difference Equations, Second Edition

Difference Equations, Second Edition PDF Author: Ronald E. Mickens
Publisher: CRC Press
ISBN: 1000152898
Category : Mathematics
Languages : en
Pages : 461

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Book Description
In recent years, the study of difference equations has acquired a new significance, due in large part to their use in the formulation and analysis of discrete-time systems, the numerical integration of differential equations by finite-difference schemes, and the study of deterministic chaos. The second edition of Difference Equations: Theory and Applications provides a thorough listing of all major theorems along with proofs. The text treats the case of first-order difference equations in detail, using both analytical and geometrical methods. Both ordinary and partial difference equations are considered, along with a variety of special nonlinear forms for which exact solutions can be determined. Numerous worked examples and problems allow readers to fully understand the material in the text. They also give possible generalization of the theorems and application models. The text's expanded coverage of application helps readers appreciate the benefits of using difference equations in the modeling and analysis of "realistic" problems from a broad range of fields. The second edition presents, analyzes, and discusses a large number of applications from the mathematical, biological, physical, and social sciences. Discussions on perturbation methods and difference equation models of differential equation models of differential equations represent contributions by the author to the research literature. Reference to original literature show how the elementary models of the book can be extended to more realistic situations. Difference Equations, Second Edition gives readers a background in discrete mathematics that many workers in science-oriented industries need as part of their general scientific knowledge. With its minimal mathematical background requirements of general algebra and calculus, this unique volume will be used extensively by students and professional in science and technology, in areas such as applied mathematics, control theory, population science, economics, and electronic circuits, especially discrete signal processing.

Theory of Difference Equations Numerical Methods and Applications by V Lakshmikantham and D Trigiante

Theory of Difference Equations Numerical Methods and Applications by V Lakshmikantham and D Trigiante PDF Author: Lakshmikantham
Publisher: Elsevier
ISBN: 0080958699
Category : Technology & Engineering
Languages : en
Pages : 255

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Book Description
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

An Introduction to Differential Equations, with Difference Equations, Fourier Series and Partial Differential Equations

An Introduction to Differential Equations, with Difference Equations, Fourier Series and Partial Differential Equations PDF Author: N. Finizio
Publisher: PWS Publishing Company
ISBN:
Category : Mathematics
Languages : en
Pages : 602

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Linear Difference Equations

Linear Difference Equations PDF Author: Kenneth S. Miller
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 128

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Difference Equations, Special Functions and Orthogonal Polynomials

Difference Equations, Special Functions and Orthogonal Polynomials PDF Author: Saber Elaydi
Publisher: World Scientific
ISBN: 9812706437
Category : Science
Languages : en
Pages : 789

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Book Description
This volume contains talks given at a joint meeting of three communities working in the fields of difference equations, special functions and applications (ISDE, OPSFA, and SIDE). The articles reflect the diversity of the topics in the meeting but have difference equations as common thread. Articles cover topics in difference equations, discrete dynamical systems, special functions, orthogonal polynomials, symmetries, and integrable difference equations.