Bounded andL2-solutions to a second order nonlinear differential equation with a square integrable forcing term
1999 ◽
Vol 22
(3)
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pp. 569-571
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Keyword(s):
This paper presents two theorems concerning the nonlinear differential equationx″+c(t)f(x)x′+a(t,x)=e(t), wheree(t)is a continuous square-integrable function. The first theorem gives sufficient conditions when all the solutions of this equation are bounded while the second theorem discusses when all the solutions are inL2[0,∞).
1995 ◽
Vol 18
(4)
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pp. 823-824
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1975 ◽
Vol 50
(1)
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pp. 289-289
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2011 ◽
Vol 24
(4)
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pp. 524-527
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1977 ◽
Vol 57
(2)
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pp. 273-289
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2009 ◽
Vol 33
(1-2)
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pp. 137-153
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