Improving explicit bounds for the solutions of second order linear differential equations

DOI10.1016/j.camwa.2009.03.076zbMath1186.34045OpenAlexW2086624298MaRDI QIDQ971689

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.2009.03.076

zbMATH Keywords

boundsoscillating solutionssecond order linear differential equationdistance between zeroesmean value theorem for integrals

Mathematics Subject Classification ID

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

Related Items (4)

On the zeroes and the critical points of a solution of a second order half-linear differential equation ⋮ 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 ⋮ New bounds for the solutions of second order linear differential equations

Cites Work

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• Explicit bounds for the solutions of second order linear differential equations
• Opial-type inequalities involving higher order differences
• Su l'equazione diffrenziale \(y(x)+A(x)y(x)=0\)
• Sur l'équation différentielle u + a(t)u = 0

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