John R. Graef Books

Oscillation And Dynamics In Delay Equations: Proceedings Of An Ams Special Session Held January 16-19, 1991
Oscillation And Dynamics In Delay Equations: Proceedings Of An Ams Special Session Held January 16-19, 1991

By John R. Graef, John R. Graef, Jack K. Hale, Editors

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Oscillations Of Second-order Neutral Differential Equations With Deviating Arguments / S.j. Bilchev, M.k. Grammatikopoulos, And I.p. Stavroulakis -- A Wave Equation Viewed As An Ordinary Differenti...

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The Nonlinear Limit-Point/Limit-Circle Problem
The Nonlinear Limit-Point/Limit-Circle Problem

By ʼ̄Đ̆Ø, Miroslav Bartis̆Ek, John R. Graef, Miroslav Bartusek, Bartu

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First posed by Hermann Weyl in 1910, the limit–point/limit–circle problem has inspired, over the last century, several new developments in the asymptotic analysis of nonlinear differential equation...

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Impulsive Differential Inclusions
Impulsive Differential Inclusions

By John R. Graef, John R. Graef; Johnny Henderson; Abdelghani Ouahab

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Differential equations with impulses arise as models of many evolving processes that are subject to abrupt changes, such as shocks, harvesting, and natural disasters. These phenomena involve s...

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If you’ve ever purchased a product online or in a store, you’ve likely come across a barcode. Behind these barcodes lies a standardized system that makes modern commerce possible. Two key codes often encountered are the EAN (European Article Number) and ISBN (International Standard Book Number). But what are they, how are they connected, and why are they so crucial? Let’s explore.

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