Sturm-Liouville operators with measure-valued coefficients

J Eckhardt, G Teschl - Journal d'Analyse Mathématique, 2013 - Springer
We give a comprehensive treatment of Sturm-Liouville operators whose coefficients are
measures, including a full discussion of self-adjoint extensions and boundary conditions …

Existence results for dynamic Sturm–Liouville boundary value problems via variational methods

D Barilla, M Bohner, S Heidarkhani, S Moradi - Applied Mathematics and …, 2021 - Elsevier
Existence results for dynamic Sturm–Liouville boundary value problems via variational
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A uniqueness theorem on inverse spectral problems for the Sturm–Liouville differential operators on time scales

MA Kuznetsova - Results in Mathematics, 2020 - Springer
Abstract In the paper, Sturm–Liouville differential operators on time scales consisting of a
finite number of isolated points and segments are considered. Such operators unify …

A critical point approach for a second-order dynamic Sturm–Liouville boundary value problem with p-Laplacian

S Heidarkhani, M Bohner, G Caristi, F Ayazi - Applied Mathematics and …, 2021 - Elsevier
In this paper, we give conditions guaranteeing the existence of at least three solutions for a
second-order dynamic Sturm–Liouville boundary value problem involving two parameters …

On the number of eigenvalues for parameter‐dependent diffusion problem on time scales

T Gulsen, I Jadlovská, E Yilmaz - Mathematical Methods in the …, 2021 - Wiley Online Library
On the number of eigenvalues for parameter‐dependent diffusion problem on time scales -
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On continuous dependence of solutions of dynamic equations

M Cichoń, A Yantir - Applied Mathematics and Computation, 2015 - Elsevier
The main goal of the paper is to present a new approach to the problem of continuous
dependence of solutions of differential or dynamic problems on their domains. This is of …

On square integrable solutions of a fractional differential equation

E Uğurlu, D Baleanu, K Taş - Applied Mathematics and Computation, 2018 - Elsevier
On square integrable solutions of a fractional differential equation - ScienceDirect Skip to main
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Existence results for a dynamic Sturm–Liouville boundary value problem on time scales

S Heidarkhani, S Moradi, G Caristi - Optimization Letters, 2021 - Springer
In this paper, we look for local minima for the Euler functional corresponding to a dynamic
Sturm–Liouville boundary value problem on time scales which turns out as an optimization …

Non‐self‐adjoint singular second‐order dynamic operators on time scale

BP Allahverdiev - Mathematical Methods in the Applied …, 2019 - Wiley Online Library
In this study, maximal dissipative second‐order dynamic operators on semi‐infinite time
scale are studied in the Hilbert space, that the extensions of a minimal symmetric operator in …

On the connection between the Hilger and Radon–Nikodym derivatives

J Eckhardt, G Teschl - Journal of Mathematical Analysis and Applications, 2012 - Elsevier
We show that the Hilger derivative on time scales is a special case of the Radon–Nikodym
derivative with respect to the natural measure associated with every time scale. Moreover …