Half-Linear Dynamic Equations

  title={Half-Linear Dynamic Equations},
  author={Ravi P. Agarwal and Martin Bohner and Pavel Reh{\'a}k},
Abstract. We survey half-linear dynamic equations on time scales. These contain the well-known half-linear differential and half-linear difference equations as special cases, but also other kinds of half-linear equations. Special cases of half-linear equations are the well-studied linear equations of second order. We discuss existence and uniqueness of solutions of corresponding initial value problems and, using a Picone identity, derive a Reid roundabout theorem that gives conditions… CONTINUE READING

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