Results 81 to 90 of about 6,031,844 (195)

Constants in the oscillation theory of higher order Sturm-Liouville differential equations

open access: yesElectronic Journal of Differential Equations, 2002
We find the the exact value of a constant in some oscillation criteria for the higher order Sturm-Liouville differential equation $$ (-1)^{n}(t^alpha y^{(n)})^{(n)}=q(t)y . $$ We also study some general aspects in the oscillation theory of this equation.
Ondrej Dosly
doaj  

Mixed boundary value problems involving Sturm–Liouville differential equations with possibly negative coefficients

open access: yesBoundary Value Problems
This paper is devoted to the study of a mixed boundary value problem for a complete Sturm–Liouville equation, where the coefficients can also be negative. In particular, the existence of infinitely many distinct positive solutions to the given problem is
Gabriele Bonanno   +2 more
doaj   +1 more source

Asymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument

open access: yesJournal of Applied Mathematics, 2013
In the present paper, a discontinuous boundary-value problem with retarded argument at the two points of discontinuities is investigated. We obtained asymptotic formulas for the eigenvalues and eigenfunctions.
Erdoğan Şen   +2 more
doaj   +1 more source

The UV prolate spectrum matches the zeros of zeta. [PDF]

open access: yesProc Natl Acad Sci U S A, 2022
Connes A, Moscovici H.
europepmc   +1 more source

On a complete parametric Sturm-Liouville problem with sign changing coefficients

open access: yesAIMS Mathematics
In this paper we study a complete second order differential equation of Sturm-Liouville type under Dirichlet boundary condition and where the variable coefficients are allowed to be sign changing. Through critical point theory, we obtain the existence of
Eleonora Amoroso   +2 more
doaj   +1 more source

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