A representation formula for strongly continuous resolvent families

DOI10.1216/jiea/1181076027zbMath0911.45007OpenAlexW2066275375MaRDI QIDQ1127695

Carlos Lizama

Publication date: 28 April 1999

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/nrm/vol94/cont9-4/cont9-4.htm

zbMATH Keywords

Laplace transformpositive solutioninverse Laplace transformlinear Volterra equation in Banach spacepositive resolvent

Mathematics Subject Classification ID

Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05) Positive solutions of integral equations (45M20)

Related Items (2)

Ergodicity and stability for \((b, l)\)-regularized resolvent operator families ⋮ On approximation and representation of \(k\)-regularized resolvent families

Cites Work

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• A representation formula for strongly continuous cosine families
• On an extension of the Trotter-Kato theorem for resolvent families of operators
• Rates of approximation and ergodic limits of resolvent families
• On Volterra Equations Associated with a Linear Operator
• Evolutionary Integral Equations and Applications
• On representations, inversions, and approximations of laplace transforms in banach spaces

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