书籍 Ordinary Differential Equation 作者：南京盐水鸭-527 发布于 2026-08-07T00:27:51Z · 公开内容更新于 2026-08-08T08:04:18Z 南京盐水鸭-527 书籍信息 作者南京盐水鸭-527 目录Elementary Integration MethodsSolutions of Typical EquationsIntegrating FactorsImplicit Equations and Riccati EquationsLinear EquationsExistence and Uniqueness of SolutionsStructure of the General Solution of Homogeneous Linear Systems (LH)Structure of the General Solution of Non-Homogeneous Linear Systems (NH)Boundary Value Problems and Periodic SolutionsHigher-Order Linear EquationsSome Solution Methods for Linear Differential EquationsComplex-Valued Solutions of Linear EquationsLinear Equations with Constant CoefficientsSolutions of Homogeneous Linear Equations with Constant CoefficientsSolutions of Homogeneous Linear Systems with Constant CoefficientsLinear Systems with Periodic CoefficientsOperator Method and Laplace Transform MethodGeneral TheoryPicard's Existence and Uniqueness TheoremPeano's Existence TheoremCauchy's Existence and Uniqueness Theorem(Optional)Extension of Solutions and Global ExistenceContinuity of Solutions with Respect to Initial Values and ParametersDifferentiability of Solutions with Respect to Initial Values and ParametersCorollaries for n-th Order EquationsBoundary Value Problems(Optional)Introduction to Qualitative TheoryStability of SolutionsConcepts of General Qualitative TheoryPlanar Dynamical SystemsStructural Stability, Bifurcation and Chaos(Optional)First IntegralsConservative Systems(Optional)First-Order Partial Differential EquationsFirst-Order Homogeneous Linear Partial Differential EquationsFirst-Order Quasilinear Partial Differential EquationsConcept of Generalized Solutions 进入阅读 相关 Tag常微分方程微分方程数学高等数学