Degenerate C-distribution cosine functions and degenerate C-ultradistribution cosine functions in locally convex spaces

DOI10.2298/FIL1711075VzbMath1485.47069arXiv1808.01915OpenAlexW2950843317MaRDI QIDQ5020074

Marko Kostić, Stevan Pilipović, Daniel Velinov

Publication date: 4 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.01915

zbMATH Keywords

locally convex spacesmultivalued linear operatorssubgeneratorsdegenerate \(C\)-ultradistribution semigroupsdegenerate \(C\)-distribution cosine functionsdegenerate \(C\)-distribution semigroupsdegenerate \(C\)-ultradistribution cosine functionsdegenerate integrated \(C\)-cosine functionsdegenerate integrated \(C\)-semigroups

Mathematics Subject Classification ID

Barrelled spaces, bornological spaces (46A08) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Linear relations (multivalued linear operators) (47A06)

Related Items (1)

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Cites Work

• Local integrated semigroups: Evolution with jumps of regularity
• Relations between distribution cosine functions and almost-distribution cosine functions
• On distribution semigroups with a singularity at zero and bounded solutions of differential inclusions
• Distribution cosine functions
• Linear Sobolev type equations and degenerate semigroups of operators
• Degenerate distribution semigroups and well-posedness of the cauchy problem
• On the Convolution and the Laplace Transformation in the Space of Beurling‐Gevrey Tempered Ultradistributions
• Distribution semigroups and abstract Cauchy problems
• Almost-distribution cosine functions and integrated cosine functions
• Abstract Volterra Integro-Differential Equations
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