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Oscillation of second-order functional differential equations with mixed nonlinearities and oscillatory potentials
Authors:Chenshun Li  Shuming Chen  
Affiliation:aYantai Vocational College, Yantai, Shandong 264001, China;bSchool of Mathematics and Informational Science, Yantai University Yantai, Shandong 264005, China
Abstract:
In this paper, we study oscillation of second-order functional differential equations with mixed nonlinearities
View the MathML source
where τgreater-or-equal, slanted0, p(t)set membership, variantC1[0,), q(t),qi(t),e(t)set membership, variantC[0,), p(t)>0, View the MathML source. Without assuming that q(t), qi(t) and e(t) are nonnegative, the results given in [Y.G. Sun, F.W. Meng, Interval criteria for oscillation of second-order differential equations with mixed nonlinearities, Appl. Math. Comput. 198 (2008) 375–381] have been extended to the aforementioned functional differential equation.
Keywords:Interval criterion   Oscillation   Second-order   Functional differential equation   Mixed nonlinearities
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