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A regular fourth order differential equation which depends quadratically on the eigenvalue parameter $$\lambda$$ is considered with classes of separable boundary conditions, where exactly one of the boundary conditions depends… Click to show full abstract
A regular fourth order differential equation which depends quadratically on the eigenvalue parameter $$\lambda$$ is considered with classes of separable boundary conditions, where exactly one of the boundary conditions depends on $$\lambda$$ linearly. This problem is described by a quadratic operator polynomial with self-adjoint operators. The location of the eigenvalues is investigated and the first four terms of the eigenvalues are provided.
Keywords:
self adjoint;
adjoint fourth;
fourth order;
eigenvalues self;
asymptotics eigenvalues
Journal Title: Differential Equations and Dynamical Systems
Year Published: 2021
Link to full text (if available)
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Journal Title: Differential Equations and Dynamical Systems
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!