Computation of Green's function of the bounded solutions problem

DOI10.1515/cmam-2017-0042zbMath1412.65027arXiv1704.07317OpenAlexW2963610002MaRDI QIDQ2416918

V. G. Kurbatov, I. V. Kurbatova

Publication date: 24 May 2019

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.07317

zbMATH Keywords

sensitivityGreen's functiondivided differencematrix functionbounded solutions problemNewton's interpolating polynomial

Mathematics Subject Classification ID

Numerical interpolation (65D05) Green's functions for ordinary differential equations (34B27) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items

Calculating a function of a matrix with a real spectrum, Analytic functional calculus for two operators, Green's function of the problem of bounded solutions in the case of a block triangular coefficient, Representations of Green's function of the bounded solutions problem for a differential-algebraic equation

Uses Software

• mftoolbox

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized inverse operators and Fredholm boundary-value problems. Translated from the Russian by P. V. Malyshev
• Geometric theory of semilinear parabolic equations
• Exponential separation, exponential dichotomy and spectral theory for linear systems of ordinary differential equations
• Discrete linear systems with slowly varying parameters
• Exponential dichotomies of linear dynamic equations on measure chains under slowly varying coefficients.
• On the stability of a class of finite-difference equations with slowly varying coefficients
• Bounded solutions of finite-difference equations
• Exponential dichotomies and transversal homoclinic points
• Bounded solutions of linear differential equations in a Banach space
• Analytic functional calculus for two operators
• An example in the theory of bisectorial operators
• Computation of a function of a matrix with close eigenvalues by means of the Newton interpolating polynomial
• Computing matrix functions
• Sustained Resonance for a Nonlinear System with Slowly Varying Coefficients
• Estimates for the Green's function and parameters of exponential dichotomy of a hyperbolic operator semigroup and linear relations
• The Sensitivity of the Matrix Exponential
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• Condition Estimates for Matrix Functions
• Exponential dichotomy and existence of pseudo almost-periodic solutions of some differential equations
• Functions of Matrices
• A Note on Saturation in Microwave Spectroscopy
• The spectrum of differential operators of order \(2n\) with almost constant coefficients