Estimates for error functions of asymptotic solutions of ordinary linear differential equations
type: Item
instance of: scholarly article
title: Estimates for error functions of asymptotic solutions of ordinary linear differential equations
zbMATH Open document ID: 0883.34056
author: Gro Hovhannisyan
published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
publication date: 1997-08-03T00:00:00Z
review text: The author establishes asymptotic representations for solutions of ordinary linear differential equations depending on a parameter. The coefficients of the equations are assumed to be unbounded near the singular point \(t=0\). Some of the theorems estimate the difference between exact and asymptotic solutions while others describe the construction of asymptotic solutions. Applications are given to equations of mathematical physics (e.g. the Schrödinger equation and the Chaplygin equation).
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 81Q05
zbMATH DE Number: 1043211
zbMATH Keywords: singular equation
zbMATH Keywords: asymptotic solutions
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: Chaplygin equation
reviewed by: Svatoslav Staněk
MaRDI profile type: Publication
Recommended article: Asymptotic solutions and error estimates for linear systems of difference and differential equations.
Recommended article: Q4381488
Recommended article: Estimate of the error of an approximate solution of certain singular ordinary differential equations
Recommended article: Q3771517
Recommended article: Error bounds for asymptotic solutions of second-order linear difference equations
Recommended article: Asymptotics with respect to a parameter of solutions of linear functional-differential equations
Recommended article: Q5839250
Recommended article: Error Estimates for the Approximate Solution of Linear Fixed Point Equations
Recommended article: Q3780383
description: scientific article; zbMATH DE number 1043211