Limit-point criteria for \(q\)-Sturm-Liouville equations. (English) Zbl 1427.39003
Summary: In this article, the deficiency index problem of a singular \(q\)-Sturm-Liouville problem is studied. We establish some criteria under which the \(q\)-Sturm-Liouville equation is of limit-point case at infinity.
MSC:
| 39A13 | Difference equations, scaling (\(q\)-differences) |
| 33D05 | \(q\)-gamma functions, \(q\)-beta functions and integrals |
| 33D15 | Basic hypergeometric functions in one variable, \({}_r\phi_s\) |
| 47A99 | General theory of linear operators |
| 47B25 | Linear symmetric and selfadjoint operators (unbounded) |
| 34B20 | Weyl theory and its generalizations for ordinary differential equations |
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