Differential equations with maxima
Differential equations with ""maxima""--differential equations that contain the maximum of the unknown function over a previous interval--adequately model real-world processes whose present state significantly depends on the maximum value of the state on a past time interval. More and more, these equations model and regulate the behavior of various technical systems on which our ever-advancing, high-tech world depends. Understanding and manipulating the theoretical results and investigations of…
Read More ↓Title Statements
- Full title :Differential equations with maxima / Drumi D. Bainov, Snezhana G. Hristova.
Summary
Differential equations with ""maxima""--differential equations that contain the maximum of the unknown function over a previous interval--adequately model real-world processes whose present state significantly depends on the maximum value of the state on a past time interval. More and more, these equations model and regulate the behavior of various technical systems on which our ever-advancing, high-tech world depends. Understanding and manipulating the theoretical results and investigations of differential equations with maxima opens the door to enormous possibilities for applications to real.
Read More ↓Edition Statements
- Publication Date:2011.
Publication Statements
- Publisher(s):Taylor & Francis
- Place of Publication:Boca Raton
- Language:eng
- Publication Date:2011.
The Physical Object
- Description:1 online resource (302 pages) : : illustrations
Edition Identifiers
- ISBN:9781439867587, 1439867585
- oclc:ocn752198975
- LC Classification:QA306
- Dewey Decimal:515.355
Table of Contents
Introduction Integral Inequalities with Maxima; Linear Integral Inequalities with Maxima for Scalar Functions of One Variable; Nonlinear Integral Inequalities with Maxima for Scalar Functions of One Variable; Integral Inequalities with Maxima for Scalar Functions of Two Variables; Applications of the Integral Inequalities with Maxima General Theory; Existence Theory for Initial Value Problems; Existence Theory for Boundary Value Problems; Differential Equations with "Maxima" via Weakly Picard Operator Theory Stability Theory and Lyapunov Functions; Stability and Uniform Stability; Integral Stability in Terms of Two Measures; Stability and Cone Valued Lyapunov Functions; Practical Stability on a Cone Oscillation Theory; Differential Equations with "Maxima" versus Differential Equations with Delay.
; Oscillations of Delay Differential Equations with "Maxima"; Oscillations of Forced n-th Order Differential Equations with "Maxima"; Oscillations and Almost Oscillations of n-th Order Differential Equations with "Maxima"; Oscillations of Differential Inequalities with "Maxima" Asymptotic Methods; Monotone-Iterative Technique for Initial Value Problems; Monotone-Iterative Technique for a…
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