The qualitative theory of fourth-order differential equations on a graph
DOI10.1007/s00009-022-02005-6zbMath1494.34111OpenAlexW4213017645WikidataQ115390222 ScholiaQ115390222MaRDI QIDQ2113583
Publication date: 14 March 2022
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-022-02005-6
oscillationGreen's functionseparation theoremdisconjugacyEuler-Bernoulli beamsnetwork differential equations
Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Green's functions for ordinary differential equations (34B27) Boundary value problems on graphs and networks for ordinary differential equations (34B45)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the disconjugacy property of an equation on a graph
- Characterization of non-disconjugacy for a one parameter family of \(n \mathrm{th}\)-order linear differential equations
- Disconjugacy characterization by means of spectral \((k, n - k)\) problems
- Boundary value problems on weighted networks
- Maximum principles for fourth order ordinary differential inequalities
- A class of fourth-order differential equations on a spatial net
- Disconjugacy and transformations for symplectic systems
- Mathematical and computer modelling in engineering sciences
- Fourth-order differential equations on geometric graphs
- On the solvability of a boundary value problem for a fourth-order equation on a graph
- Necessary and sufficient condition for the positivity of the Green function of a boundary value problem for a fourth-order equation on a graph
- Disconjugacy and extremal solutions of nonlinear third-order equations
- Control of a network of Euler-Bernoulli beams
- Disconjugacy of fourth-order equations on graphs
- On the Oscillation of Solutions of Self-Adjoint Linear Differential Equations of the Fourth Order
- Stability of a tree‐shaped network of strings and beams
- Some problems of the qualitative Sturm-Liouville theory on a spatial network
- Boundary Value Problem on a Weighted Graph Relevant to the Static Analysis of Truss Structures
- NON-OSCILLATION OF SOLUTIONS OF THE EQUATIONx(n)+p1(t)x(n−1)+ … +pn(t)x= 0
- Nonoscillation of ordinary differential equations and inequalities on spatial networks
This page was built for publication: The qualitative theory of fourth-order differential equations on a graph