Riemann zeta function and Lyapunov-type inequalities for certain higher order differential equations
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摘要
This note generalizes the well known Lyapunov-type inequalities for second-order linear differential equations to certain 2M-th order linear differential equations with five types of boundary conditions. The usage of the best constant of some Sobolev-type inequalities clarify the process for obtaining such inequality and sharpen the result of Çakmak [2].
论文关键词:Lyapunov inequality,Sobolev inequality,Best constant,Riemann zeta function
论文评审过程:Available online 23 September 2011.
论文官网地址:https://doi.org/10.1016/j.amc.2011.08.105