Qualitative investigations and approximate methods for impulsive equations / Snezhana G. Hristova.
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Full Text (via ProQuest) |
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| Format: | eBook |
| Language: | English |
| Published: |
New York :
Nova Science Publishers,
c2009.
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Table of Contents:
- QUALITATIVE INVESTIGATIONSAND APPROXIMATE METHODSFOR IMPULSIVE EQUATIONS; QUALITATIVE INVESTIGATIONSAND APPROXIMATE METHODSFOR IMPULSIVE EQUATIONS; Contents; Preface; Introduction; A. Impulsive Differential Equations; B. Impulsive Differential-Difference Equations; C. Impulsive Hybrid Equations; D. Impulsive Differential Equations with "Supremum"; Method of the Integral Inequalitiesfor Qualitative Investigations ofImpulsive Equations; 1.1. Linear Impulsive Integral Inequalities; 1.2. Nonlinear Impulsive Integral Inequalities.
- 1.3. Impulsive Integral Inequalities for Piecewise ContinuousFunctions with a Delay of the Argument1.4. Impulsive Integral Inequalities for Scalar Piecewise ContinuousFunctions of Two Variables; 1.5. Applications of the Impulsive Integral Inequalities; Lyapunov's Method for Boundednessand Periodicity of the Solutions ofImpulsive Equations; 2.1. Piecewise Continuous Lyapunov Functions; 2.2. Boundedness of the Solutions of Impulsive DifferentialEquations; 2.3. Boundedness of the Solutions of Impulsive Equations with"Supremum"; 2.4. Boundedness of the Solutions of Impulsive HybridEquations.
- 2.5. Lyapunov Functions and Periodic Solutions of ImpulsiveDifferential EquationsMonotone-Iterative Techniquesfor Impulsive Equations; 3.1. Monotone-Iterative Techniques for The initial ValueProblem for Impulsive Differential-DifferenceEquations with Variable Moments of Impulses; 3.2. Monotone-Iterative Techniques for the Initial ValueProblem for Systems of ImpulsiveFunctional-Differential Equations; 3.3. Monotone-Iterative Techniques for Periodic BoundaryValue Problem for Systems of ImpulsiveDifferential-Difference Equations; Method of Quasilinearization forImpulsive Differential Equations.
- 4.1. Method of Quasilinearization for the Initial Value Problemfor Systems of Impulsive Differential Equations4.2. Method of Quasilinearization for a Linear Boundary ValueProblem for Scalar Impulsive Differential Equations; 4.3. Method of Quasilinearization for Periodic Boundary ValueProblem for Systems of Impulsive Differential Equations; References; Index.