Oscillation Analysis Algorithm for Nonlinear Second-Order Neutral Differential Equations

Differential equations are useful mathematical tools for solving complex problems. include ordinary and partial differential equations. Nonlinear can express the nonlinear relationship between dependent independent variables. The second-order neutral studied in this paper a class of quadratic differentiable that delay terms. According to t-value interval equation function, basis is needed selecting initial values value calculated with calculation formula, existence solution determined using condensation mapping fixed-point theorem. Thus, oscillation analysis realized. experimental results indicate analyze behavior circuit Colpitts oscillator by constructing frequency optimizing design. It provides more accurate control practical applications.