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A Stability theorem for the nonlinear differential equation x″+p(t)g(x)h(x′) = 0
Published online by Cambridge University Press: 09 April 2009
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K. W. Chang generalizing a result of Lazer [3], proved in [4] the following THEOREM 1. Suppose that f:I → R+ = (0, + ∞), I = ([t0, + ∞), t0 0, is a non-decreasing function whose derivatives of orders ≧ 3 exist are continuous on ([t0, + ∞). Moreover, limt→+∞f(t) = +∞ and for some α, 1≧ α ≧ 2, and F =f-1/α then every solution x(t) of the equation tends to zero as t - + ∞.
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- Research Article
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- Journal of the Australian Mathematical Society , Volume 10 , Issue 1-2 , August 1969 , pp. 169 - 172
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- Copyright © Australian Mathematical Society 1969
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