Characterization of domains of self-adjoint ordinary differential operators
From MaRDI portal
Publication:1006103
DOI10.1016/j.jde.2008.11.001zbMath1169.47033OpenAlexW2072880395MaRDI QIDQ1006103
Jiong Sun, Aiping Wang, Anton Zettl
Publication date: 17 March 2009
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2008.11.001
Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05)
Related Items (55)
Characterization of self-adjoint extensions for discrete symplectic systems ⋮ Finite Spectrum of 2nth Order Boundary Value Problems with Transmission Conditions ⋮ \(J\)-self-adjoint extensions for second-order linear difference equations with complex coefficients ⋮ Fourth order boundary value problems with finite spectrum ⋮ Self-adjoint higher order differential operators with eigenvalue parameter dependent boundary conditions ⋮ Self‐adjoint extensions for singular linear Hamiltonian systems ⋮ Regular approximation of singular Sturm-Liouville problems with transmission conditions ⋮ Dissipative operators, symplectic geometry, and limit-circle solutions ⋮ The spectrum of singular Sturm-Liouville problems with eigenparameter dependent boundary conditions and its approximation ⋮ A GKN theorem for symmetric operators ⋮ The Friedrichs extension of regular symmetric differential operators ⋮ A symmetric GKN-type theorem and symmetric differential operators ⋮ Spectral asymptotics of self-adjoint fourth order differential operators with eigenvalue parameter dependent boundary conditions ⋮ Discrete symplectic systems, boundary triplets, and self-adjoint extensions ⋮ Spectral asymptotics of self-adjoint fourth order boundary value problems with eigenvalue parameter dependent boundary conditions ⋮ Spectral measures for derivative powers via matrix-valued Clark theory ⋮ Characterization of domains of self-adjoint ordinary differential operators. II ⋮ Friedrichs extensions of a class of discrete Hamiltonian systems with one singular endpoint ⋮ Properties and decompositions of domains for powers of the Jacobi differential operator ⋮ Friedrichs extensions for Sturm–Liouville operators with complex coefficients and their spectra ⋮ Classification of self-adjoint domains of odd-order differential operators with matrix theory ⋮ Stability of a flexible missile and asymptotics of the eigenvalues of fourth order boundary value problems ⋮ Real-parameter square-integrable solutions and the spectrum of differential operators ⋮ Asymptotics of the eigenvalues of self-adjoint fourth order boundary value problems ⋮ Matrix representations of fourth order boundary value problems with finite spectrum ⋮ Characterization of self-adjoint domains for differential operators with interior singular points ⋮ Fourth order canonical forms of singular self-adjoint boundary conditions ⋮ The theory for \(J\)-Hermitian subspaces in a product space ⋮ The classification of self-adjoint boundary conditions of differential operators with two singular endpoints ⋮ Friedrichs extensions for singular Hamiltonian operators with intermediate deficiency indices ⋮ Characterization of self-adjoint ordinary differential operators ⋮ The finite spectrum of fourth-order boundary value problems with transmission conditions ⋮ Self-adjoint extensions for discrete linear Hamiltonian systems ⋮ TWO-INTERVAL EVEN-ORDER DIFFERENTIAL OPERATORS IN MODIFIED HILBERT SPACES ⋮ The spectrum of differential operators and square-integrable solutions ⋮ Survey article: Self-adjoint ordinary differential operators and their spectrum ⋮ The Sturm-Liouville Friedrichs extension. ⋮ The classification of self-adjoint boundary conditions: separated, coupled, and mixed ⋮ Self-adjoint fourth order differential operators with eigenvalue parameter dependent and periodic boundary conditions ⋮ SELF-ADJOINT REALIZATION OF A CLASS OF THIRD-ORDER DIFFERENTIAL OPERATORS WITH AN EIGENPARAMETER CONTAINED IN THE BOUNDARY CONDITIONS ⋮ Continuous spectrum and square-integrable solutions of differential operators with intermediate deficiency index ⋮ Two-interval even order differential operators in direct sum spaces ⋮ Self-adjoint extensions for linear Hamiltonian systems with two singular endpoints ⋮ Regular approximation of linear Hamiltonian operators with two singular endpoints ⋮ Matrix representations of fourth-order boundary value problems with transmission conditions ⋮ \(\mathcal{J}\)-self-adjoint extensions of a class of Hamiltonian differential systems ⋮ Characterization of self-adjoint domains for two-interval even order singular \(C\)-symmetric differential operators in direct sum spaces ⋮ Friedrichs extensions of a class of singular Hamiltonian systems ⋮ Non-negative extensions of Hamiltonian systems ⋮ Classification of Sturm–Liouville differential equations with complex coefficients and operator realizations ⋮ \(J\)-self-adjoint extensions for a class of discrete linear Hamiltonian systems ⋮ Boundary triples and Weyl \(m\)-functions for powers of the Jacobi differential operator ⋮ Eigenvalues of a class of fourth-order boundary value problems with transmission conditions using matrix theory ⋮ NEW CANONICAL FORMS OF SELF-ADJOINT BOUNDARY CONDITIONS FOR REGULAR DIFFERENTIAL OPERATORS OF ORDER FOUR ⋮ Finite spectrum of \(2 n\)th order boundary value problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weighted norm inequalities for the quasi-derivatives of ordinary differential operators
- The higher order differential operators in direct sum spaces
- Spectral theory of ordinary differential operators
- On J-selfadjoint extensions of J-symmetric ordinary differential operators
- Formally self-adjoint quasidifferential operators
- On the self-adjoint extensions of symmetric ordinary differential operators in direct sum spaces
- The deficiency index problem for powers of ordinary differential expressions
- Semi-boundedness of ordinary differential operators
- Symmetric differential operators and their Friedrichs extensions
- Floquet theory for left-definite Sturm-Liouville problems
- Singular differential equations. I: The even order case
- Boundary conditions for general ordinary differential operators and their adjoints
- The Friedrichs extension of regular ordinary differential operators
- Complex symplectic geometry with applications to ordinary differential operators
- On the self-adjoint extensions of symmetric ordinary differential operators with middle deficiency indices
- Equivalence, adjoints and symmetry of quasi-differential expressions with matrix-valued coefficients and polynomials in them
- On the unboundedness below of the Sturm—Liouville operator
- Adjoint Linear Differential Operators
- SINGULAR DIFFERENTIAL EQUATIONS II; SOME SELF-ADJOINT EVEN ORDER CASES
- A NOTE ON THE SELF-ADJOINT DOMAINS OF SECOND-ORDER DIFFERENTIAL EQUATIONS
- INTEGRABLE-SQUARE SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS (III)
- On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
This page was built for publication: Characterization of domains of self-adjoint ordinary differential operators