Partial Difference EquationsCRC Press, 2003/02/06 - 288 ページ Partial Difference Equations treats this major class of functional relations. Such equations have recursive structures so that the usual concepts of increments are important. This book describes mathematical methods that help in dealing with recurrence relations that govern the behavior of variables such as population size and stock price. It is helpful for anyone who has mastered undergraduate mathematical concepts. It offers a concise introduction to the tools and techniques that have proven successful in obtaining results in partial difference equations. |
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boundary conditions boundary problem boundary value problem bounded solution characteristic equation Cheng coefficients complex number consider convergent denoted derive eigenvalue problem eventually negative eventually positive solution Example existence finite domain frequency measures frequently oscillatory frequently positive functional inequality Green's function heat equation initial conditions integer Laplace equation lattice points linear lower solution maximum principle method nonnegative integer nontrivial Note obtain ordinary difference equations partial difference equations Paß positive numbers positive root proof is complete real bivariate sequence real numbers real sequence recurrence relation satisfies scalar sequence f Similarly sin² solution pair spectral radius subexponential subsets unique solution upper degree upper solution Vaß vector view of Theorem Wirtinger's inequalities zero Σ Σ ΣΣ