Detailed asymptotic of eigenvalues on time scales

DOI10.1080/10236190802040976zbMath1162.34364OpenAlexW2068713592MaRDI QIDQ3615524

Pablo L. De Nápoli, Juan Pablo Pinasco, Pablo Amster

Publication date: 20 March 2009

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190802040976

zbMATH Keywords

time scalesMinkowski dimensionasymptotic boundsasymptotic of eigenvalues

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items

Ambarzumyan-type theorems on a time scale, Existence of a spectral measure for second-order delta dynamic equations on semi-infinite time scale intervals, Classification and criteria of the limit cases for singular second-order linear equations on time scales, Sturm–Liouville operators on time scales, Eigenfunction expansion associated with the one-dimensional Schrödinger equation on semi-infinite time scale intervals, Classification and criteria of limit cases for singular second-order linear equations with complex coefficients on time scales, Half-inverse Sturm–Liouville problem on a time scale

Cites Work

• Basic calculus on time scales and some of its applications
• Sturm-Liouville eigenvalue problems on time scales
• On a disconjugacy criterion for second-order dynamic equations on time scales
• Eigenfunction expansions in \(L^{2}\) spaces for boundary value problems on time-scales
• On the Complementary Intervals of a Linear Closed Set of Zero Lebesgue Measure