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Oscillatory Theory of an Even Order Hyperbolic Equation with Delays

Author: DuanHui
Tutor: LinShiZhong
School: Hainan Normal University,
Course: Basic mathematics
Keywords: Delay Hyperbolic Equations Neutral Even order Oscillation Criteria
CLC: O175
Type: Master's thesis
Year: 2008
Downloads: 8
Quote: 0
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Abstract


In recent years , with Delay Differential Equations study by the attention , and has achieved many important results . However, little research about high-end Functional Partial Differential Equations theory . This article discusses a class of even order Functional Partial Differential Equations nature , using ~ Green formula and ~ Jensen inequality equation in two types of boundary conditions Oscillation criteria . The text is divided into three chapters : The first chapter briefly describes the Functional Partial Differential Equations vibration background and significance , given its brief history and current status of the study , the main object of study of this article . The second chapter discusses Oscillation of solutions for a class of second-order delay hyperbolic equations in two types of boundary conditions , to obtain a series of theorems to determine the oscillation of all solutions . Chapter III on the basis of the second chapter , the second-order equation push even order to obtain a sufficient condition to determine the oscillation of all solutions .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations
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