Non-instantaneous impulsive differential equations : basic theory and computation /

Many real-life processes can be characterised by rapid changes in their state. Some of these changes begin impulsively and are not negligible. For changes such as these, mathematical models called non-instantaneous differential equations are created. These models give rise to a new, hybrid dynamical...

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Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Wang, JinRong (Mathematics professor) (Auteur), Fečkan, Michael (Auteur)
Format: Électronique eBook
Langue:Inglés
Publié: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2018]
Collection:IOP (Series). Release 5.
IOP expanding physics.
Sujets:
Impulsive differential equations.
Mathematical physics.
SCIENCE / Physics / Mathematical & Computational.
Accès en ligne:Texto completo
Table des matières:
  • 1. Linear and perturbed equations
  • 1.1. Stability analysis
  • 1.2. Lyapunov regularity
  • 2. Nonlinear differential equations
  • 2.1. Continuous dependence and stability of solutions
  • 2.2. Orbital Hausdorff dependence of the solutions
  • 2.3. Differentiability of solutions
  • 3. Semilinear evolution equations
  • 3.1. First-order evolution equations
  • 3.2. Second-order evolution equations
  • 4. Periodic solutions
  • 4.1. First-order autonomous evolution equations
  • 4.2. First-order non-autonomous evolution equations
  • 4.3. Second-order evolution equations.

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