A criterion for discreteness of the spectrum of a Sturm-Liouville equation with an operator coefficient (apropos the article by B. M. Levitan and G. A. Suvorchenkova)

1968 ◽  
Vol 2 (2) ◽  
pp. 153-157 ◽  
Author(s):  
V. P. Maslov
2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Zohreh Zeinalabedini Charandabi ◽  
Hakimeh Mohammadi ◽  
Shahram Rezapour ◽  
Hashem Parvaneh Masiha

AbstractThe Sturm–Liouville differential equation is one of interesting problems which has been studied by researchers during recent decades. We study the existence of a solution for partial fractional Sturm–Liouville equation by using the α-ψ-contractive mappings. Also, we give an illustrative example. By using the α-ψ-multifunctions, we prove the existence of solutions for inclusion version of the partial fractional Sturm–Liouville problem. Finally by providing another example and some figures, we try to illustrate the related inclusion result.


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