Titlebook: Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations; Ravi P. Agarwal,Said R. Grace,Donal

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Oscillation and Nonoscillation of Linear Ordinary Differential Equations,een the subject of many investigations. The interest in second order linear oscillations is due, in a large part, to the fact that many physical systems are modelled by such equations. In this chapter we shall discuss some of the most basic results in the theory of oscillations of linear ordinary di

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Oscillation and Nonoscillation of Half-Linear Differential Equations,uations have attracted considerable attention. This is largely due to the fact that half-linear differential equations occur in a variety of real world problems; moreover, these are the natural generalizations of second order linear differential equations. In Section 3.1, we shall provide some preli

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Oscillation Theory for Sublinear Differential Equations,ar type with alternating coefficients. In Section 5.1, our sublinear oscillation results involve integrals and weighted integrals of the alternating coefficients. In some results we employ integral averaging techniques. In Section 5.2, we impose some additional conditions on the sublinear term which

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Further Results on the Oscillation of Differential Equations,ifferential equations. In Section 6.1 we shall present oscillation and nonoscillation theorems for nonlinear second order differential equations by using the method of Olech, Opial and Wazewski. Section 6.2 is concerned with the oscillation of half-linear second order differential equations by emplo

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Miscellaneous Topics,ond order nonlinear differential equations, and present a nonlinear Picone type identity to enable us to prove some Sturm-Picone type comparison theorems for nonlinear equations. Section 9.2 is devoted to the study of nonoscillatory solutions of forced differential equations of second order. In Sect