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Abstract In this paper we consider a spectral problem for ordinary differential equations of fourth order with the spectral parameter contained in three of the boundary conditions. We study the… Click to show full abstract
Abstract In this paper we consider a spectral problem for ordinary differential equations of fourth order with the spectral parameter contained in three of the boundary conditions. We study the oscillatory properties of the eigenfunctions and, using these properties, we obtain sufficient conditions for the system of eigenfunctions of the problem in question to form a basis in the space L p ( 0 , 1 ) , 1 p ∞ , after removing three functions.
Keywords:
eigenfunctions equation;
boundary conditions;
properties eigenfunctions;
spectral parameter;
equation vibrating
Journal Title: Journal of Differential Equations
Year Published: 2020
Link to full text (if available)
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Journal Title: Journal of Differential Equations
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!