Disconjugacy via Lyapunov and Vallée-Poussin type inequalities for forced differential equations

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摘要

In the case of oscillatory potentials, we present some new Lyapunov and Vallée-Poussin type inequalities for second order forced differential equations. No sign restriction is imposed on the forcing term. The obtained inequalities generalize and compliment the existing results in the literature.

论文关键词:Lyapunov,Vallée-Poussin,Sub-half-linear

论文评审过程:Received 1 March 2015, Revised 5 May 2015, Accepted 10 May 2015, Available online 1 June 2015, Version of Record 1 June 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.05.038