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

Authors : Bülent Köroğlu, Abdullah Özbekler

Pages : 529-537

Doi:10.31801/cfsuasmas.1309476

View : 47 | Download : 52

Publication Date : 2024-06-21

Article Type : Research Paper

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