Abstract
We prove two Sturm theorems for linear delay equations of the form ( p( t) u′( t))′ + ∑ q i ( t) u( τ i ( t)) + ∝ τ( a) t k( s, t) u( s) ds = 0. The method uses a Riccati-type equation and the theory of differential inequalities. An application of the first theorem to a nonlinear boundary value problem gives an extension of Moroney's uniqueness result for second-order nonlinear equations without delay. We then give a method for comparing the oscillation of a linear second-order delay equation with a corresponding linear equation, extending a result of Mahfoud. We also sharpen a result of Wong.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
