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The Problem of Periodic Solutions for p-Laplacian Functional Differential Equations and the p-Laplacian Boundary Value Problem of Ordinary Differential Equations

Author: ZhuYanLing
Tutor: LuShiPing
School: Anhui Normal University
Course: Basic mathematics
Keywords: Delay Functional Differential Equations p-Laplace operator Neutral Functional Differential Equations Coincidence degree continuation theorem Duffing Equations with Delay Retarded Differential Equations Lienard Equation Boundary value problem
CLC: O175
Type: Master's thesis
Year: 2006
Downloads: 197
Quote: 0
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Abstract


Of coincidence degree continuation theorem of functional differential equation with p-Laplace operator Periodic Solutions and ordinary differential equations , we get a lot of new results . The first chapter introduces important lemma, to prepare for the future work . Second chapter studies p = 2, Functional Differential Equations with Deviating Arguments p-Laplace operator delay equation with p-Laplace operator retarded Liénard equation periodic solution . Compared with the existing work , this chapter estimated the the prior bounds methods and the results obtained are new . Chapter research p = 2, Neutral Duffing equation with p-Laplace operator Neutral Duffing Equation Periodic Solutions for Neutral Duffing equation , we define a linear operator A , L , the problem converted to abstract equations and analytical skills to get a new result . Fourth major research p - Laplace operator sub Ordinary Differential Equations Boundary Value existence problem by converting very easy to judge the operator N L- compactness , Mawhin coincidence degree theorem understand the existence of the new conclusions .

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