Cosine families and weak solutions of second order differential equations

DOI10.3792/pjaa.54.119zbMath0406.34002OpenAlexW1984530053MaRDI QIDQ1257580

Shigeo Kanda

Publication date: 1978

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.54.119

zbMATH Keywords

Differential EquationsLinear OperatorsCosine FamiliesWeak Solutions of Second Order

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Research exposition (monographs, survey articles) pertaining to operator theory (47-02)

Related Items (1)

Semigroups of operators, cosine operator functions, and linear differential equations

Cites Work

• Unnamed Item
• Ordinary differential equations in linear topological spaces. I
• Shorter Notes: Strongly Continuous Semigroups, Weak Solutions, and the Variation of Constants Formula
• Cosine families and abstract nonlinear second order differential equations
• On cosine operator functions and one-parameter groups of operators

This page was built for publication: Cosine families and weak solutions of second order differential equations