scholarly journals Spectrum of Discrete Sturm-Liouville Equation with Self-adjoint Operator Coefficients on the Half-line

2021 ◽  
pp. 3055-3062
Author(s):  
Gökhan MUTLU
Keyword(s):  
Liouville Equation ◽  
Adjoint Operator ◽  
Half Line ◽  
Sturm Liouville

scholarly journals On integral representation for solution of generalized Sturm-Liouville equation with discontinuity conditions

2014 ◽  
Vol 33 (2) ◽  
pp. 97-109 ◽  
Author(s):  
Yalçın Güldü ◽  
Selma Gülyaz
Keyword(s):  
Integral Representation ◽  
Liouville Equation ◽  
Liouville Operator ◽  
Diffusion Potential ◽  
Half Line ◽  
Sturm Liouville ◽  
Discontinuity Conditions ◽  
Jost Solution

In this paper, some properties of kernel and integral representation of Jost solution are studied for Sturm-Liouville operator with diffusion potential and discontinuity on the half line.

scholarly journals On partial fractional Sturm–Liouville equation and inclusion

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Zohreh Zeinalabedini Charandabi ◽  
Hakimeh Mohammadi ◽  
Shahram Rezapour ◽  
Hashem Parvaneh Masiha
Keyword(s):  
Differential Equation ◽  
Liouville Equation ◽  
Existence Of Solutions ◽  
Liouville Problem ◽  
Existence Of A Solution ◽  
Contractive Mappings ◽  
Sturm Liouville

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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