Homogeneous differential-operator equations in locally convex spaces

DOI10.3103/S1066369X17010042zbMath1383.34081MaRDI QIDQ682228

Sergey N. Mishin

Publication date: 14 February 2018

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

locally convex spacevector-valued functiondifferential-operator equationconvergence by bornologyequicontinuous bornologyorder and type of operators

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear differential equations in abstract spaces (34G10)

Related Items (2)

Generalization of the Lagrange method to the case of second-order linear differential equations with constant operator coefficients in locally convex spaces ⋮ On a class of operator equations in locally convex spaces

Cites Work

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• The boundary-value problem for differential-operator equations of the first order in a locally convex space
• Generalized Fourier transform and its applications
• Solvability of linear ordinary differential equations in locally convex spaces
• On linear differential equations in locally convex spaces
• On the order and type of an operator.
• Analytic solutions to differential operator equations in locally convex spaces
• Time dependent evaluation equations in a locally convex space
• Linear Differential Games

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