A Sturm–Liouville theory for Hahn difference operator

MH Annaby, AE Hamza… - Frontiers in Orthogonal …, 2018 - World Scientific
This chapter introduces a comprehensive study for Sturm–Liouville theory of the q, ω-Hahn
difference operators in the regular setting. We define a Hilbert space of q, ω-square …

[HTML][HTML] Higher-order self-adjoint boundary-value problems on time scales

DR Anderson, GS Guseinov, J Hoffacker - Journal of Computational and …, 2006 - Elsevier
In this study, higher-order self-adjoint differential expressions on time scales and their
associated self-adjoint boundary conditions are discussed. The symmetry property of the …

[PDF][PDF] Existence and comparison of smallest eigenvalues for a fractional boundary-value problem

PW Eloe, JT Neugebauer - Electronic Journal of …, 2014 - ecommons.udayton.edu
Existence and comparison of smallest eigenvalues for a fractional boundary-value problem
Page 1 University of Dayton eCommons Mathematics Faculty Publications Department of …

Eigenvalue distribution of second-order dynamic equations on time scales considered as fractals

P Amster, P De Nápoli, JP Pinasco - Journal of mathematical analysis and …, 2008 - Elsevier
Let T⊂[a, b] be a time scale with a, b∈ T. In this paper we study the asymptotic distribution
of eigenvalues of the following linear problem− uΔΔ= λuσ, with mixed boundary conditions …

Smallest eigenvalues for a right focal boundary value problem

P Eloe, JT Neugebauer - Fractional Calculus and Applied Analysis, 2016 - degruyter.com
Smallest Eigenvalues for a Right Focal Boundary Value Problem Skip to content Should you
have institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ GBP - Pound …

[PDF][PDF] Smallest eigenvalues for boundary value problems of two term fractional differential operators depending on fractional boundary conditions

PW Eloe, JT Neugebauer - 2021 - digital.library.txstate.edu
Let n≥ 2 be an integer, and let n-1< α≤ n. We consider eigenvalue problems for two point n-
1, 1 boundary value problems Dα0+ u+ α (t) u+ λp (t) u= 0, 0< t< 1, u (i)(0)= 0, i= 0, 1,..., n-2 …

Smallest eigenvalues for a fractional difference equation with right focal boundary conditions

J Henderson, JT Neugebauer - Journal of Difference Equations and …, 2017 - Taylor & Francis
Full article: Smallest eigenvalues for a fractional difference equation with right focal boundary
conditions Skip to Main Content Taylor and Francis Online homepage Taylor and Francis Online …

[PDF][PDF] Green's function for an even order mixed derivative problem on time scales

D Anderson, J Hoffacker - Dynamic Systems and Applications, 2003 - Citeseer
E-mail: johoff@ math. uga. edu ABSTRACT. Green's function for an even-order focal
problem, where the derivatives alternate between nabla and delta derivatives, is found, and …

Methods of extending lower order problems to higher order problems in the context of smallest eigenvalue comparisons

J Neugebauer - Electronic Journal of Qualitative Theory of Differential …, 2011 - real.mtak.hu
The theory of u0-positive operators with respect to a cone in a Banach space is applied to
the linear differential equations u (4)+ λ1p (x) u= 0 and u (4)+ λ2q (x) u= 0, 0≤ x≤ 1, with …

Smallest eigenvalues for a fractional boundary value problem with a fractional boundary condition

AM Koester - 2016 - search.proquest.com
We establish the existence of and then compare smallest eigenvalues for the fractional
boundary value problems D α 0+ u+ λ 1 p (t) u= 0 and D α 0+ u+ λ 1 p (t) u= 0, 0< t< 1 …