一类具有变系数的非线性延迟微分方程数值解的振动性分析

Abstract

Abstract: This article considers the oscillation of numerical solutions for a class of nonlinear delay differential equations with variable coefficients. By using the linear $\theta$-methods and linearization theory, the oscillation of the nonlinear difference equation is transformed into that of its corresponding linearized equation. By using inequality comparisons and scaling techniques, the conditions of the oscillation for the numerical solutions are obtained.

Key words: delay differential equation, numerical solutions, oscillation, eventually positive solution

CLC Number:

O241.8

Hu Bingbing, Gao Jianfang. Oscillation Analysis of Numerical Solutions for a Class of Nonlinear Delay Differential Equations with Variable Coefficients[J].Acta mathematica scientia,Series A, 2025, 45(1): 203-213.

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Oscillation Analysis of Numerical Solutions for a Class of Nonlinear Delay Differential Equations with Variable Coefficients

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