线性演化过程的振荡理论

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-05-29 DOI:10.1016/j.jde.2025.113464

M.Ap. Silva , E.M. Bonotto , M. Federson

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引用次数: 0

摘要

介绍了线性演化过程的回拉振荡理论。通过对封闭圆锥壳的几何解释，给出了产生回拉振荡的充分必要条件。利用广义微分方程理论，我们将主要结果应用于一类抽象常微分方程，以及volterra - stieltje型积分方程。

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Oscillation theory for linear evolution processes

We introduce the theory of pullback oscillation for linear evolution processes. Necessary and sufficient conditions are presented to obtain pullback oscillation via geometric interpretation of the closed conic hull. Using the theory of generalized ODEs, we apply the main results to a class of abstract ordinary differential equations, as well as to Volterra-Stieltjes-type integral equations.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics