Geodesic
ON THE COMPLEXITY OF FINDING A NECESSARY AND SUFFICIENT CONDITION FOR BLASCHKE-OSCILLATORY EQUATIONS
Glasgow mathematical journal, Tome 57 (2015) no. 3, pp. 543-554

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DOI

If A(z) belongs to the Bergman space , then the differential equation f′′+A(z)f=0 is Blaschke-oscillatory, meaning that the zero sequence of every nontrivial solution satisfies the Blaschke condition. Conversely, if A(z) is analytic in the unit disc such that the differential equation is Blaschke-oscillatory, then A(z) almost belongs to . It is demonstrated that certain “nice” Blaschke sequences can be zero sequences of solutions in both cases when A ∈ or A ∉ . In addition, no condition regarding only the number of zeros of solutions is sufficient to guarantee that A ∈ . 
HEITTOKANGAS, JANNE; REIJONEN, ATTE. ON THE COMPLEXITY OF FINDING A NECESSARY AND SUFFICIENT CONDITION FOR BLASCHKE-OSCILLATORY EQUATIONS. Glasgow mathematical journal, Tome 57 (2015) no. 3, pp. 543-554. doi: 10.1017/S0017089514000470
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     title = {ON {THE} {COMPLEXITY} {OF} {FINDING} {A} {NECESSARY} {AND} {SUFFICIENT} {CONDITION} {FOR} {BLASCHKE-OSCILLATORY} {EQUATIONS}},
     journal = {Glasgow mathematical journal},
     pages = {543--554},
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     doi = {10.1017/S0017089514000470},
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