Theory of Impulsive Differential Equatio

Theory of Impulsive Differential Equatio

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Format E-Bok
Filformat PDF
Utgivelsesår 1989
Forlag World Scientific Publishing Co
Språk Engelsk
ISBN 9789812812759
Sider 288
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Om Theory of Impulsive Differential Equatio

Many evolution processes are characterized by the fact that at certain moments of time they experience a change of state abruptly. These processes are subject to short-term perturbations whose duration is negligible in comparison with the duration of the process. Consequently, it is natural to assume that these perturbations act instantaneously, that is, in the form of impulses. It is known, for example, that many biological phenomena involving thresholds, bursting rhythm models in medicine and biology, optimal control models in economics, pharmacokinetics and frequency modulated systems, do exhibit impulsive effects. Thus impulsive differential equations, that is, differential equations involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems.Contents:Description of Systems with ImpulsesExistence and ContinuationPulse PhenomenaImpulsive Differential InequalitiesImpulsive Integral InequalitiesGlobal ExistenceDependence on Initial ValuesDifferentiability Relative to Initial ValuesMethod of Upper and Lower SolutionsMonotone Iterative TechniqueStability by Linear ApproximationVector Lyapunov FunctionsStability Concepts in Terms of Two MeasuresQuasistability CriteriaSingularly Perturbed SystemsSystems with Variable StructureIntegro-Differential SystemsPeriodic Boundary Value Problems for Second Order SystemsReadership: Mathematicians.Key Features:A unique book on pile foundation design in liquefiable soilsComprehensive treatment of possible failure mechanismsIncludes latest research findings at Cambridge UniversityPresents design methodologies for use in geotechnical practice


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Mer fra D D Bainov; V Lakshmikantham; P S Simeonov

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