Oscillation criteria for nonlinear second order differential equations with damping |
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Authors: | Zhaowen Zheng |
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Institution: | (1) Department of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, P. R. China |
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Abstract: | Summary Using the integral average method, we give some new oscillation criteria for the second order differential equation with damped
term (a(t)Ψ(x(t))K(x'(t)))'+p(t)K(x'(t))+q(t)f(x(t))=0, t<span style='font-size:10.0pt; font-family:"Lucida Sans Unicode"'>≧t0. These results improve and generalize the oscillation criteria in<span lang=EN-US style='font-size:10.0pt;mso-ansi-language:EN-US'>1],
because they eliminate both the differentiability of p(t) and the sign of p(t), q(t). As a consequence, improvements of Sobol's type oscillation criteria are obtained. |
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Keywords: | oscillation damping term integral average method |
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