Explicit and approximate solutions of a class of evolution problems in hilbert space

DOI10.1080/01630569608816683zbMath0853.65056OpenAlexW1519947606MaRDI QIDQ4886616

Ivan P. Gavrilyuk, Volodymyr L. Makarov

Publication date: 22 September 1996

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: http://cds.cern.ch/record/281767

zbMATH Keywords

Hilbert spacecomputer algebraconstructive algorithmexplicit representation of solutionsfirst-order evolution problem

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Semigroups of nonlinear operators (47H20) Iterative procedures involving nonlinear operators (47J25) Nonlinear differential equations in abstract spaces (34G20) Numerical solutions to equations with nonlinear operators (65J15) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Cites Work

• A Method for Solving Initial Value Problems for Linear Differential Equations in Hilbert Space Based on The Cayley Transform
• The cayley transform and the solution of an initial value problem for a first order differential equation with an unbounded operator coefficient in hilbert space
• Orthogonale Polynomsysteme Mit Einer Besonderen Gestalt Der Erzeugenden Funktion

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