The qualitative theory of fourth-order differential equations on a graph
R Kulaev - Mediterranean Journal of Mathematics, 2022 - Springer
In this article we construct a theory of disconjugacy (non-oscillation) of fourth-order
equations on networks, which arises in modelling beam structures. A new approach to the
development of the theory of disconjugacy is offered by means of a special region of
constant sign for a function on a network. We give the theorem on the separation of zeros of
solutions. The new approach makes it possible to generalize the basic principles of the
theory of disconjugacy from second-order equations to fourth-order equations on a graph …
equations on networks, which arises in modelling beam structures. A new approach to the
development of the theory of disconjugacy is offered by means of a special region of
constant sign for a function on a network. We give the theorem on the separation of zeros of
solutions. The new approach makes it possible to generalize the basic principles of the
theory of disconjugacy from second-order equations to fourth-order equations on a graph …
以上显示的是最相近的搜索结果。 查看全部搜索结果