New gaps between zeros of fourth-order differential equations via Opial inequalities

DOI10.1186/1029-242X-2012-182zbMath1365.34065OpenAlexW2127774904WikidataQ59291970 ScholiaQ59291970MaRDI QIDQ386689

Mohammad Hasan, H. S. Yoon

Publication date: 10 December 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2012-182

zbMATH Keywords

fourth-order differential equationsbending of beamsOpial and Wirtinger inequalities

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Differential inequalities involving functions of a single real variable (34A40)

Cites Work

• Strong law of large numbers for Markov chains indexed by an infinite tree with uniformly bounded degree
• Some limit properties for the \(m\)th-order nonhomogeneous Markov chains indexed by an m rooted Cayley tree
• Automorphism invariant measures on trees
• Markov chains indexed by trees
• Some limit properties for Markov chains indexed by a homogeneous tree.
• The Markov approximation of the random fields on Cayley trees and a class of small deviation theorems.
• Strong law of large numbers for Markov chains field on a Bethe tree
• The Asymptotic Equipartition Property for<tex>$M$</tex>th-Order Nonhomogeneous Markov Information Sources
• Entropic aspects of random fields on trees

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