Boundedness and convergence to zero of solutions of a forced second-order nonlinear differential equation
type: Item
instance of: scholarly article
title: Boundedness and convergence to zero of solutions of a forced second-order nonlinear differential equation
zbMATH Open document ID: 0394.34027
DOI: 10.1016/0022-247X(78)90127-0
author: John R. Graef
author: Paul W. Spikes
published in: Journal of Mathematical Analysis and Applications
publication date: 1978-01-01T00:00:00Z
Mathematics Subject Classification ID: 34C11
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 34A12
zbMATH DE Number: 3611735
zbMATH Keywords: Continuability of Solutions to Infinite
zbMATH Keywords: Convergence to Zero Of Solutions
zbMATH Keywords: Forced Second-Order Nonlinear Differential Equation
zbMATH Keywords: Boundedness of Solutions
Wikidata QID: Q115364632
MaRDI profile type: Publication
cites work: Stability Properties of a Second Order Damped and Forced Nonlinear Differential Equation
cites work: On the asymptotic behavior of solutions of \(x''+a(t)f(x)=e(t)\)
cites work: Stability properties of \((r(t)u')'+a(t)f(u)g(u') = 0\)
cites work: Boundedness theorems for certain second order nonlinear differential equations
cites work: Q5637245
cites work: Bounded Solutions for a Second Order Nonlinear Equation
cites work: Asymptotic behavior of solutions of a second order nonlinear differential equation
cites work: Continuability, boundedness and asymptotic behavior of solutions of x'' + q(t)f(x) = r(t)
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cites work: On Nonoscillatory Solutions of a Nonlinear Differential Equation
cites work: Nonoscillation Properties of a Nonlinear Differential Equation
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cites work: On the asymptotic behavior of solutions of the differential equation \(\lfloor r(x)y'(x)\rfloor'+p(x)y(x)=0\)
cites work: Q5627066
cites work: On positive solutions of perturbed nonlinear differential equations
cites work: On the maintenance of oscillations of \(n\)-th order equations under the effect of a small forcing term
cites work: Continuability and estimates of solutions of (a(t)ψ(x)x')' + c(t)f(x) = 0
cites work: Asymptotic behavior of non-linear inhomogeneous equations via non-standard analysis. Part I. Second order equations
cites work: On boundedness of solutions of certain second-order differential equations
cites work: Some Nonoscillation Theorems for a Second Order Nonlinear Differential Equation
cites work: Q5179768
cites work: Q5670987
cites work: Properties of Solutions of $u'' + c(t)f(u)h(u') = 0$ with Explicit Initial Conditions
cites work: Boundedness and oscillatoriness of solutions of the equation y" + a(x)g(y, y') + b(x)f(y)h(y') = 0
cites work: Boundedness theorems for solutions of \(u''(t)+ a(t)f(u)g(u') = 0\). IV
cites work: Explicit bounds for solutions of certain second order nonlinear differential equations
cites work: Remarks on Stability Conditions for the Differential Equation x″ + a(t)ƒ(x) = 0
cites work: Some Stability Conditions for $x'' + a( t )x^{2n - 1} = 0$
cites work: A note on boundedness of solutions of certain second-order differential equations
description: scientific article; zbMATH DE number 3611735