Integralrelationen mit variablen Grenzen für spezielle Funktionen der mathematischen Physik.
Extending Peano derivatives: necessary and sufficient conditions
The paper treats functions which are defined on closed subsets of [0,1] and which are k times Peano differentiable. A necessary and sufficient condition is given for the existence of a k times Peano differentiable extension of such a function to [0,1]. Several applications of the result are presented. In particular, functions defined on symmetric perfect sets are studied.
Riesz Bases of Solutions of Sturm-Liouville Equations.
Nonlinear transformations on spaces of continuous functions
Long-time behavior of small solutions to quasilinear dissipative hyperbolic equations
We give sufficient conditions for the existence of global small solutions to the quasilinear dissipative hyperbolic equation corresponding to initial values and source terms of sufficiently small size, as well as of small solutions to the corresponding stationary version, i.e. the quasilinear elliptic equation We then give conditions for the convergence, as , of the solution of the evolution equation to its stationary state.
Generalized ellipsoidal and sphero-conal harmonics.
Eigenvalue problems of Atkinson, Feller and Krein, and their mutual relationship.
External ellipsoidal harmonics for the Dunkl-Laplacian.
Eigenvalue multiplicities of products of companion matrices.
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