Lyapunov-type inequalities for linear hyperbolic and elliptic equations on a rectangular domain

Year 2024, Volume: 73 Issue: 2, 529 - 537, 21.06.2024

Bülent Köroğlu , Abdullah Özbekler

https://doi.org/10.31801/cfsuasmas.1309476

Abstract

In the case of oscillatory potential, we present some new Lyapunov-type inequalities for linear hyperbolic and elliptic equations on a rectangular domain in ${\mathbb R}^2$. No sign restriction is imposed on the potential function. As applications of the Lyapunov-type inequalities obtained, we give some estimations for disconjugacy of hyperbolic and elliptic Dirichlet boundary value problems.

Keywords

Lyapunov, hyperbolic, elliptic, Dirichlet boundary condition, disconjugacy

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