New Criteria of Oscillation for Linear Sturm–Liouville Delay Noncanonical Dynamic Equations
Taher S. Hassan, Martin Böhner, Loredana Florentina Iambor, Amir Abdel Menaem, Mouataz Billah Mesmouli
Abstract
In this work, we deduce a new criterion that guarantees the oscillation of solutions to linear Sturm–Liouville delay noncanonical dynamic equations; these results emulate the criteria of the Hille and Ohriska types for canonical dynamic equations, and these results also solve an open problem in many works in the literature. Several examples are offered, demonstrating that the findings achieved are precise, practical, and adaptable.
Topics & Concepts
Oscillation (cell signaling)Dynamic equationWork (physics)MathematicsControl theory (sociology)Applied mathematicsComputer scienceMathematical analysisNonlinear systemPhysicsControl (management)Artificial intelligenceBiologyGeneticsThermodynamicsQuantum mechanicsSpectral Theory in Mathematical PhysicsStability and Controllability of Differential EquationsNonlinear Dynamics and Pattern Formation