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

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  • Agarwal, Ravi P.
  • Özbekler, Abdullah

Abstract

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.

Suggested Citation

  • Agarwal, Ravi P. & Özbekler, Abdullah, 2015. "Disconjugacy via Lyapunov and Vallée-Poussin type inequalities for forced differential equations," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 456-468.
    • Handle: RePEc:eee:apmaco:v:265:y:2015:i:c:p:456-468
    DOI: 10.1016/j.amc.2015.05.038
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    Cited by:

    1. Agarwal, Ravi P. & Özbekler, Abdullah, 2016. "Lyapunov type inequalities for second order forced mixed nonlinear impulsive differential equations," Applied Mathematics and Computation, Elsevier, vol. 282(C), pages 216-225.

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