Self-adjoint fourth order differential operators with eigenvalue parameter dependent and periodic boundary conditions

DOI10.1186/s13661-017-0768-yzbMath1367.47024OpenAlexW2596656425WikidataQ59518572 ScholiaQ59518572MaRDI QIDQ518388

Bertin Zinsou, Boitumelo Moletsane

Publication date: 28 March 2017

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-017-0768-y

zbMATH Keywords

periodic boundary conditionsquadratic operator pencilself-adjoint operatorseigenvalue dependent boundary conditionsfourth order differential operators

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) General theory of ordinary differential operators (47E05) Parameter dependent boundary value problems for ordinary differential equations (34B08) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07)

Related Items (4)

Stability of a flexible missile and asymptotics of the eigenvalues of fourth order boundary value problems ⋮ Asymptotics of the eigenvalues of a fourth order differential operator with eigenvalue dependent and periodic boundary conditions ⋮ Asymptotics of the eigenvalues of self-adjoint fourth order boundary value problems ⋮ Global bifurcation for fourth-order differential equations with periodic boundary-value conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Self-adjoint higher order differential operators with eigenvalue parameter dependent boundary conditions
• Combined effects of concave-convex nonlinearities in a fourth-order problem with variable exponent
• Asymptotics of the eigenvalues of a self-adjoint fourth-order boundary value problem with four eigenvalue parameter dependent boundary conditions
• Spectral asymptotics of self-adjoint fourth order differential operators with eigenvalue parameter dependent boundary conditions
• Spectral asymptotics of self-adjoint fourth order boundary value problems with eigenvalue parameter dependent boundary conditions
• Spectral properties of a fourth order differential equation
• The classification of self-adjoint boundary conditions: separated, coupled, and mixed
• Characterization of domains of self-adjoint ordinary differential operators
• Asymptotics of the eigenvalues of self-adjoint fourth order differential operators with separated eigenvalue parameter dependent boundary conditions
• Spectral theory of operator pencils, Hermite-Biehler functions, and their applications
• Radial solutions of inhomogeneous fourth order elliptic equations and weighted Sobolev embeddings
• Self-adjoint fourth order differential operators with eigenvalue parameter dependent boundary conditions
• On $*$-commuting mappings and derivations in rings with involution
• Sixth order differential operators with eigenvalue dependent boundary conditions

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