Stability and boundedness of solutions to certain fourth-order differential equations
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Date
2006-03-21
Authors
Tunc, Cemil
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We give criteria for the asymptotic stability and boundedness of solutions to the nonlinear fourth-order ordinary differential equation
x(4) + φ(ẍ) ẍ· + ƒ(x, ẋ)ẍ + g(ẋ) + h(x) = p(t, x, ẋ, ẍ, ẍ·),
when p ≡ 0 and when p ≠ 0. Our results include and improve some well-known results in the literature.
Description
Keywords
Fourth order differential equations, Stability, Boundedness
Citation
Tunç, C. (2006). Stability and boundedness of solutions to certain fourth-order differential equations. <i>Electronic Journal of Differential Equations, 2006</i>(35), pp. 1-10.