Asymptotic solutions of forced nonlinear second order differential equations and their extensions
, 2007 Using a modified version of Schauder's fixed point theorem, measures of non-compactness and classical techniques, we provide new general results on the asymptotic behavior and the non-oscillation of second order scalar nonlinear differential equations on
Mingarelli, Angelo B. +1 more
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Cell averaging Chebyshev methods for hyperbolic problems [PDF]
A cell averaging method for the Chebyshev approximations of first order hyperbolic equations in conservation form is described. Formulas are presented for transforming between pointwise data at the collocation points and cell averaged quantities, and ...
Gottlieb, David, Harten, Ami, Wei, Cai
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Existence of nonoscillatory solutions of higher order neutral differential equations
Filomat, 2016 This article is concerned with nonoscillatory solutions of higher order nonlinear neutral differential equations with deviating and distributed deviating arguments. By using Knaster-Tarski fixed point theorem, new sufficient conditions are established. Illustrative example is given to show applicability of results.
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Kwong-Wong-type integral equation on time scales
Electronic Journal of Differential Equations, 2011 Consider the second-order nonlinear dynamic equation $$ [r(t)x^Delta(ho(t))]^Delta+p(t)f(x(t))=0, $$ where $p(t)$ is the backward jump operator. We obtain a Kwong-Wong-type integral equation, that is: If $x(t)$ is a nonoscillatory solution of the ...
Baoguo Jia
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Nonoscillatory solutions of systems of neutral differential equations
Hiroshima Mathematical Journal, 1992 The author considers the system of neutral differential equations of the form \[ (1\mu){d^ n\over dt^ n}[x_ i(t)+(-1)^ \mu a_ i(t)x_ i(h_ i(t))]=\sum^ N_{j=1}P_{ij}(t)f_{ij}(x_ j(g_{ij}(t))), \] \(i=1,2,\dots,N\), \(N\geq 2\), \(n\geq 1\), \(\mu\in\{0,1\}\), \(t_ 0\geq 0\), where (a) \(a_ i:[t_ 0,\infty)\to(0,\beta_ i ...
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A bounded nonoscillatory solution of an even order linear differential equation
, 1974 G. W. Johnson
semanticscholar +1 more source
Solution of the hydrodynamic device model using high-order nonoscillatory shock capturing algorithms
IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 1991 E. Fatemi, J. Jerome, S. Osher
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Nonoscillatory Solutions of Differential Equations with Retarded Arguments
Bulletin of the Faculty of Science, Ibaraki University. Series A, Mathematics, 1975 Kusano, Takasi, Onose, Hiroshi
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Delay difference equations: Coexistence of oscillatory and nonoscillatory solutions [PDF]
Analysis, 2013 Pinelas, Sandra +3 more
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Methods in half-linear asymptotic theory
Electronic Journal of Differential Equations, 2016 We study the asymptotic behavior of eventually positive solutions of the second-order half-linear differential equation $$ (r(t)|y'|^{\alpha-1}\hbox{sgn} y')'=p(t)|y|^{\alpha-1}\hbox{sgn} y, $$ where r(t) and p(t) are positive continuous functions ...
Pavel Rehak
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