Some remarks on an operational time dependent equation

It is proved that the resolution problem of a Sturm-Liouville operator problem for a second-order differential operator equation with constant coefficients is solved in terms of solutions of the corresponding algebraic operator equation. Existence and uniqueness conditions for the existence of nontrivial solutions of the problem and explicit expressions of them are given.

A local approach to some non-linear evolution equations of hyperbolic type

C. Parenti, F. Strocchi, G. Velo (1976)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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On cosine operator functions and one-parameter groups of operators

J. Kisyński (1972)

Studia Mathematica

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Extrapolation methods to solve non-autonomous retarded partial differential equations

Abdelaziz Rhandi (1997)

Studia Mathematica

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Using extrapolation spaces introduced by Da Prato-Grisvard and Nagel we prove a non-autonomous perturbation theorem for Hille-Yosida operators. The abstract result is applied to non-autonomous retarded partial differential equations.

On modular functions in 2 variables attached to a family of hyperelliptic curves of genus 3

Keiji Matsumoto (1989)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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