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Discrete Hamiltonian Systems
  • Language: en
  • Pages: 384

Discrete Hamiltonian Systems

This book should be accessible to students who have had a first course in matrix theory. The existence and uniqueness theorem of Chapter 4 requires the implicit function theorem, but we give a self-contained constructive proof ofthat theorem. The reader willing to accept the implicit function theorem can read the book without an advanced calculus background. Chapter 8 uses the Moore-Penrose pseudo-inverse, but is accessible to students who have facility with matrices. Exercises are placed at those points in the text where they are relevant. For U. S. universities, we intend for the book to be used at the senior undergraduate level or beginning graduate level. Chapter 2, which is on continued...

Oscillation, Bifurcation and Chaos
  • Language: en
  • Pages: 732

Oscillation, Bifurcation and Chaos

The year 1986 marked the sesquicentennial of the publication in 1836 of J Sturm's memoir on boundary value problems for second order equations. In July 1986, the Canadian Mathematical Society sponsored the International Conference on Oscillation, Bifurcation and Chaos. This volume contains the proceedings of this conference.

Advances in Dynamic Equations on Time Scales
  • Language: en
  • Pages: 354

Advances in Dynamic Equations on Time Scales

Excellent introductory material on the calculus of time scales and dynamic equations.; Numerous examples and exercises illustrate the diverse application of dynamic equations on time scales.; Unified and systematic exposition of the topics allows good transitions from chapter to chapter.; Contributors include Anderson, M. Bohner, Davis, Dosly, Eloe, Erbe, Guseinov, Henderson, Hilger, Hilscher, Kaymakcalan, Lakshmikantham, Mathsen, and A. Peterson, founders and leaders of this field of study.; Useful as a comprehensive resource of time scales and dynamic equations for pure and applied mathematicians.; Comprehensive bibliography and index complete this text.

Spectral Theory of Differential Operators
  • Language: en
  • Pages: 401

Spectral Theory of Differential Operators

  • Type: Book
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  • Published: 1981-01-01
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  • Publisher: Elsevier

Spectral Theory of Differential Operators

Proceedings of the First International Conference on Difference Equations
  • Language: en
  • Pages: 516

Proceedings of the First International Conference on Difference Equations

  • Type: Book
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  • Published: 1995-12-01
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  • Publisher: CRC Press

The Eighth International Conference on Difference Equations and Applications was held at Masaryk University in Brno, Czech Republic. This volume comprises refereed papers presented at this conference. Initially published in 2005.

Ordinary and Partial Differential Equations
  • Language: en
  • Pages: 403

Ordinary and Partial Differential Equations

  • Type: Book
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  • Published: 2006-11-15
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  • Publisher: Springer

None

Dynamic Equations on Time Scales
  • Language: en
  • Pages: 365

Dynamic Equations on Time Scales

On becoming familiar with difference equations and their close re lation to differential equations, I was in hopes that the theory of difference equations could be brought completely abreast with that for ordinary differential equations. [HUGH L. TURRITTIN, My Mathematical Expectations, Springer Lecture Notes 312 (page 10), 1973] A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both. [E. T. BELL, Men of Mathematics, Simon and Schuster, New York (page 13/14), 1937] The theory of time scales, which has recently received a lot of attention, was introduced by Stefan Hilger in his P...

Ordinary Differential Equations and Operators
  • Language: en
  • Pages: 535

Ordinary Differential Equations and Operators

  • Type: Book
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  • Published: 2006-11-15
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  • Publisher: Springer

None

Canadian Journal of Mathematics
  • Language: en
  • Pages: 200

Canadian Journal of Mathematics

  • Type: Magazine
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  • Published: 1970
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  • Publisher: Unknown

None

Nonoscillation and Oscillation Theory for Functional Differential Equations
  • Language: en
  • Pages: 392

Nonoscillation and Oscillation Theory for Functional Differential Equations

  • Type: Book
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  • Published: 2004-08-30
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  • Publisher: CRC Press

This book summarizes the qualitative theory of differential equations with or without delays, collecting recent oscillation studies important to applications and further developments in mathematics, physics, engineering, and biology. The authors address oscillatory and nonoscillatory properties of first-order delay and neutral delay differential eq