A generalization of the Lane-Emden equation.
type: Item
instance of: scholarly article
title: A generalization of the Lane-Emden equation.
zbMATH Open document ID: 1035.34003
DOI: 10.1016/S0022-247X(02)00296-2
author: Mark P. Robinson
author: John S. Spraker
author: Daniel C. Biles
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-02-11T00:00:00Z
review text: The authors study the initial value problem \(y''(t)+p(t)y'(t)+q(t,y(t))=0\), \(y(0)=a\), \(y'(0)=0\). Four conditions on \(p\) and \(q\) are established so that a solution to the initial value problem exists. If additionally \(q\) is Lipschitzian then the solution is unique.
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65L05
zbMATH DE Number: 1866591
zbMATH Keywords: second-order initial value problems
zbMATH Keywords: solution existence
zbMATH Keywords: solution uniqueness
reviewed by: Dana Petcu
MaRDI profile type: Publication
cites work: Q5822590
cites work: On certain new and exact solutions of the Emden-Fowler equation and Emden equation via invariant variational principles and group invariance
cites work: Q5775739
cites work: On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
cites work: Upper and lower solutions for a generalized Emden-Fowler equation
cites work: Boundary value problems in one differential equation with a discontinuity
cites work: An oscillation criterion for solutions of \((ry')' + gy^\gamma = 0\)
cites work: Q3738792
cites work: Q3750391
cites work: A generalized Emden-Fowler equation with a negative exponent
cites work: Concavity and monotonicity properties of solutions of Emden-Fowler equations
cites work: First integrals for the modified Emden equation q̈+α(t) q̇+q n =0
cites work: Q3964914
cites work: Power-series solutions of the Lane-Emden equation
cites work: A singular initial value problem for second and third order differential equations
cites work: Solutions of some classes of second order non-linear ordinary differential equations
cites work: Integrals of the Emden-Fowler equations
cites work: A note on integration of the Emden-Fowler equation
cites work: A variant of frobeniu' method for the emden fowler equation
cites work: Q4353856
cites work: Q4199066
cites work: Nonperturbative approximate solution for Lane–Emden equation
cites work: On the Global Asymptotic Stability of (p(t)x')'+q(t)x2n−1 = 0
full work available at URL: s0022-247x(02)00296-2
OpenAlex ID: W2025144901
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description: scientific article; zbMATH DE number 1866591