Secure CheckoutPersonal information is secured with SSL technology.
Free ShippingFree global shipping
No minimum order.
Nonlinear Differential Equations and Nonlinear Mechanics provides information pertinent to nonlinear differential equations, nonlinear mechanics, control theory, and other related topics. This book discusses the properties of solutions of equations in standard form in the infinite time interval.
Organized into 49 chapters, this book starts with an overview of the characteristic types of differential equation systems with small parameters. This text then explains the structurally stable fields on a differentiable two manifold are the ones that exhibit the simplest features. Other chapters explore the canonic system of hyperbolic partial differential equations with fixed characteristics. This book discusses as well the monofrequent oscillations that are predominantly near one or the other of the linear modes of motion. The final chapter deals with the existence and asymptotic character of solutions of the nonlinear boundary value problem.
This book is a valuable resource for pure and applied mathematicians. Aircraft engineers will also find this book useful.
List of Contributors
The Method of Integral Manifolds in the Theory of Nonlinear Oscillations
Sur un Théorème de Seifert sur les Trajectoires Fermées de Certains Champs de Vecteurs
Generic Properties of Differential Equations
The Density Theorem for Structurally Stable Systems on a Two Dimensional Manifold
Beurteilung Nichtlinearer Systeme auf der Grundlage der Strukturstabilität
Periodic Solutions of Hyperbolic Partial Differential Equations
Coupling in Certain Classes of Weakly Nonlinear Vibrating Systems
Perturbation Theory for Almost Periodic Solutions for Undamped Nonlinear Differential Equations
Asymptotic System of a Perturbed System
On some New Long Periodic Solutions of the Plane Restricted Three Body Problem
Continuous Groups and Autosynartetic Solutions
Autosynartetic Families of Solutions
Periodic Functions Generated as Solutions of Nonlinear Differential-Difference Equations
Uniformly Valid Asymptotic Approximations for Certain Non-Linear Differential Equations
New Directions of Research in the Theory of Differential Equations
Some Aspects of Quasilinearization
On the Differential Equations of Electrical Circuits and the Global Nature of the Solutions
Transport Theory, Invariant Imbedding, and Two-Point Boundary Value Problems
Numerical Study of Periodic Solutions of the van der Pol Equation
Finite Elastic Deformation of a Plane Strain Wedgeshaped Radial Crack in a Compressible Cylinder
Wave Propagation in Non-Simple Media
Some Nonlinear Systems of Differential Equations Equivalent to Linear Systems
A Class of Characteristic-Value Problems
Association of Partial Differential Equations with Ordinary Ones and Its Applications
Stochastic Approximation and Its Application to Problems of Prediction and Control Synthesis
Boundedness and Stability
Discrete Time Optimal Control Systems
The Principle of Optimal Evolution
A Geometric Interpretation of Pontryagin's Maximum Principle
On the Accessibility Problem in Control Theory
Time Optimal Control of Linear Systems with Bounded Controls
Controllable Stability and Equivalent Nonlinear Programming Problem
Periodic Solutions of Singular Perturbation Problems
Ultimately Periodic Behavior in a Class of Non-linear Servomechanisms
Determining the Switching Criterion for Time-Optimal Control
On the Pontryagin Maximum Principle
The Nonlinear Effect, Arising from White Noise and the Flicker Effect, in Nuclear Resonance Spectrometers of the "Marginal Oscillator" Type
L'Extension de la Méthode de Nyquist aux Boucles Non-Linéaires. Application à L'Éitude de la Stabilité des Réacteurs Nucléaires
A Contribution to Liapunov's Second Method: Nonlinear Autonomous Systems
An Analysis of the Bistability of the Parametron
Liapunov Functions and Comparison Theorems
Structures Transverse to a Vector Field
Systems of Differential Equations without Linear Terms
Prolongations and Generalized Liapunov Functions
Stability under Perturbations in Generalized Dynamical Systems
A Functional-Differential System of Neutral Type Arising in a Two-Body Problem of Classical Electrodynamics
Asymptotic Solutions of a Linear Ordinary Differential Equation of nth Order about a Simple Turning Point
A Boundary Value Problem for a Singularly Perturbed System of Nonlinear Differential Equations
- No. of pages:
- © Academic Press 1963
- 1st January 1963
- Academic Press
- eBook ISBN:
Elsevier.com visitor survey
We are always looking for ways to improve customer experience on Elsevier.com.
We would like to ask you for a moment of your time to fill in a short questionnaire, at the end of your visit.
If you decide to participate, a new browser tab will open so you can complete the survey after you have completed your visit to this website.
Thanks in advance for your time.