つくばリポジトリ TPR 55 87

This approach is not limited to classical solutions of the characteristic system of ordinary differential equations, but can be extended to more general solution concepts in ODE

Then by applying specialization maps of admissible fundamental groups and Nakajima’s result concerning ordinariness of cyclic ´ etale coverings of generic curves, we may prove that

For instance, Racke & Zheng [21] show the existence and uniqueness of a global solution to the Cahn-Hilliard equation with dynamic boundary conditions, and later Pruss, Racke

We have formulated and discussed our main results for scalar equations where the solutions remain of a single sign. This restriction has enabled us to achieve sharp results on

In our previous papers, we used the theorems in finite operator calculus to count the number of ballot paths avoiding a given pattern.. From the above example, we see that we have

For a positive definite fundamental tensor all known examples of Osserman algebraic curvature tensors have a typical structure.. They can be produced from a metric tensor and a

discrete ill-posed problems, Krylov projection methods, Tikhonov regularization, Lanczos bidiago- nalization, nonsymmetric Lanczos process, Arnoldi algorithm, discrepancy

Lemma 4.1 (which corresponds to Lemma 5.1), we obtain an abc-triple that can in fact be shown (i.e., by applying the arguments of Lemma 4.4 or Lemma 5.2) to satisfy the