New bounds for the solutions of second order linear differential equations

DOI10.1016/j.camwa.2009.06.010zbMath1189.34019OpenAlexW2154666184MaRDI QIDQ980373

Pedro Almenar, Lucas Jodar

Publication date: 28 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.06.010

zbMATH Keywords

boundsoscillating solutionssecond order linear differential equationOpial's inequalityArmellini-Tonelli-Sansone theorem

Mathematics Subject Classification ID

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

Related Items (3)

Asymptotic positivity of solutions of second order differential equations ⋮ 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

Cites Work

• The existence of large or small solutions of linear differential equations
• Explicit bounds for the solutions of second order linear differential equations
• Improving explicit bounds for the solutions of second order linear differential equations
• Opial-type inequalities involving higher order differences
• Sur l'équation différentielle u + a(t)u = 0
• Sur une inégalité
• On the equation $\ddot{x} + f(t)x = 0$
• On a certain result of Z. Opial
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