APPROXIMATE METHODS OF SOLUTION OF DIFFERENTIAL EQUATIONS (COLLECTION OF ARTICLES).

Abstract

Contents: Application of method of small parameter to analysis of hypersonic flow of gas around flat bodies; Influence of hysteresis motor on stability of motion of gyroscope in cardan joint suspension; On numerical solution of three-dimensional boundary value problems of theory of potential by method of sum representations; Concerning the question of stability of motion in one case of the three bodies; Certain questions of asymptotic solution of one operator differential equation; On the influence of random forces on nonlinear oscillatory systems; Sufficient conditions of convergence of method of Yu. D. Sokolov during approximate solution of nonlinear integral equations of type of Hammerstein; On the cauchy problem for equations of higher order with multiple characteristics; On random processes in simple linear delay systems; Random shocks in linear dynamic systems; On adherence of solutions of a linear uniform second order delay differential equation; Substantiation of principle of averaging for differential equations with discontinuous right side; Asymptotic behavior of negative part of spectrum of one-dimensional differential operators; Appearance of theory of potential of double layer and its first applications to solution of certain boundary value problems; On the solution of a type of nonlinear differential equation; On the existence and properties of integral manifold for system of nonlinear delay differential equations with variable coefficients; On nonlinear oscillations of a plate.

Document Details

Document Type
Technical Report
Publication Date
May 15, 1967
Accession Number
AD0663933

Entities

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Cauchy Problem
  • Differential Equations
  • Equations
  • Hypersonic Flow
  • Integral Equations
  • Integrals
  • Nonlinear Differential Equations
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.
  • Fluid Dynamics.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers