Limit Point Criteria for Second-Order Sturm–Liouville Equations on Time Scales

2016 ◽  
pp. 331-338
Author(s):  
Petr Zemánek
Keyword(s):  
Time Scales ◽  
Limit Point ◽  
Second Order ◽  
Sturm Liouville

scholarly journals Inverse Problems for Sturm-Liouville Differential Operators on Closed Sets

2019 ◽  
Vol 50 (3) ◽  
pp. 199-206 ◽  
Author(s):  
V. Yurko
Keyword(s):  
Inverse Problems ◽  
Time Scales ◽  
Differential Operators ◽  
Spectral Characteristics ◽  
Second Order ◽  
Constructive Algorithms ◽  
Closed Sets ◽  
Sturm Liouville

Second-order differential operators on closed sets (time scales) are considered. Properties of their spectral characteristics are obtained and inverse problems are studied, which consists in recovering the operators from their spectral characteristics. We establish the uniqueness and develop constructive algorithms for the solution of the inverse problems.

scholarly journals Extensions of symmetric singular second-order dynamic operators on time scales

Filomat ◽  
2016 ◽  
Vol 30 (6) ◽  
pp. 1475-1484 ◽  
Author(s):  
Bilender Allakhverdiev
Keyword(s):  
Boundary Conditions ◽  
Time Scales ◽  
Limit Point ◽  
Second Order ◽  
Boundary Values ◽  
Infinite Time ◽  
Limit Circle ◽  
Symmetric Operators

A space of boundary values is constructed for minimal symmetric singular second-order dynamic operators on semi-infinite and infinite time scales in limit-point and limit-circle cases. A description of all maximal dissipative, maximal accumulative, selfadjoint, and other extensions of such symmetric operators is given in terms of boundary conditions.

scholarly journals Oscillation Criteria of Singular Initial-Value Problem for Second Order Nonlinear Dynamic Equation on Time Scales

2018 ◽  
Vol 5 (1) ◽  
pp. 102-112 ◽  
Author(s):  
Shekhar Singh Negi ◽  
Syed Abbas ◽  
Muslim Malik
Keyword(s):  
Time Scales ◽  
Initial Value Problem ◽  
Dynamic Equation ◽  
Nonlinear Dynamic ◽  
Type Inequality ◽  
Second Order ◽  
Oscillation Criterion ◽  
Initial Value ◽  
Nonlinear Dynamic Equation ◽  
Singular Initial Value Problem

AbstractBy using of generalized Opial’s type inequality on time scales, a new oscillation criterion is given for a singular initial-value problem of second-order dynamic equation on time scales. Some oscillatory results of its generalizations are also presented. Example with various time scales is given to illustrate the analytical findings.

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