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Basic Theory of Symplectic Systems

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Symplectic Difference Systems: Oscillation and Spectral Theory

Part of the book series: Pathways in Mathematics ((PATHMATH))

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Abstract

In this chapter we present basic theory of symplectic difference systems. We show that these systems incorporate as special cases many important equations or systems, such as the Sturm-Liouville difference equations, symmetric three-term recurrence equations, Jacobi difference equations, linear Hamiltonian difference systems, or trigonometric and hyperbolic systems.

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Authors and Affiliations

  1. Department of Mathematics and Statistics Faculty of Science, Masaryk University, Brno, Czech Republic

    Ondřej Došlý & Roman Šimon Hilscher

  2. Department of Applied Mathematics, Moscow State Technological University “STANKIN”, Moscow, Russia

    Julia Elyseeva

Authors
  1. Ondřej Došlý
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  2. Julia Elyseeva
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  3. Roman Šimon Hilscher
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Došlý, O., Elyseeva, J., Hilscher, R.Š. (2019). Basic Theory of Symplectic Systems. In: Symplectic Difference Systems: Oscillation and Spectral Theory. Pathways in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-19373-7_2

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