Titlebook: Dynamic Equations on Time Scales; An Introduction with Martin Bohner,Allan Peterson Textbook 2001 Springer Science+Business Media New York

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Dynamic Inequalities,We start this section with a comparison theorem. Throughout we let . ? ..

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Operationalisierung der zentralen Variablenen (3.1) can be rewritten as . = f. If . ? C. and .(.) - f(.)for all ., then we say . is a . of . = f on T. The fact that . is a linear operator (see Theorem 3.1) is why we call equation (3.1) a linear equation. If f(.) = 0 for all ., then we get the homogeneous dynamic equation L. = 0. Otherwise we

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Operationalisierung der zentralen Variablendeveloped by Stefan Hilger in [.], which will be discussed in the first section of this chapter. We also present so-called alpha derivatives as introduced by Ahlbrandt, Bohner, and Ridenhour in [.]. Many results presented in this book can be derived for these more general models, and research in the

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Linear Symplectic Dynamic Systems,e.g., linear Hamiltonian dynamic systems or Sturm-Liouville dynamic equations of higher (even) order. Many of the results in this chapter can be found in Do?lY and Hilscher [.], and are extensions of results by Bohner and Do?lY [.]. Throughout this chapter we denote by.the 2. × 2.-matrix.We start by