Oscillations of nonlinear functional differential equations generated by retarded actions I
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For nonlinear functional differential equations of the typey″−f(t, y(t), y(g(t)))=0, the sufficient conditions are given onf andg under which every bounded solution of (*) is oscillatory. This oscillatory behavior is generated by delay and vanishes when delay vanishes. Furthermore, solutions of such equations are also classified with respect to their behavior ast→∞ and to their oscillatory nature. Our work includes the earlier works as special cases.
KeywordsOscillatory Behavior Functional Differential Equation Order Differential Equation Oscillatory Nature Oscillatory Solution
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