Explicit bounds for the solutions of second order linear differential equations

DOI10.1016/j.camwa.2008.09.022zbMath1186.34044OpenAlexW1997731804MaRDI QIDQ971548

Pedro Almenar, Lucas Jodar

Publication date: 16 May 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.09.022

zbMATH Keywords

boundsoscillating solutionssecond order linear differential equation

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (6)

Asymptotic positivity of solutions of second order differential equations ⋮ The physical structures of solutions for generalized \(K(n,n)\) and \(BBM\) equations with variable coefficients ⋮ An upper bound for the distance between a zero and a critical point of a solution of a second order linear differential equation ⋮ Asymptotic behaviour of the solutions of second order functional differential equations ⋮ Improving explicit bounds for the solutions of second order linear differential equations ⋮ New bounds for the solutions of second order linear differential equations

Cites Work

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• High order approximation to Sturm-Liouville eigenvalues
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• Sur l'équation différentielle u + a(t)u = 0
• Estimating the Eigenvalues of Sturm–Liouville Problems by Approximating the Differential Equation
• Bounds for the Solutions of a Second-Order Linear Differential Equation
• Mixed problems for separated variable coefficient wave equations: Analytic-numerical solutions with a priori error bounds
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