Oscillation criteria for second order nonlinear differential equations
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Various sufficient conditions are obtained which guarantee that all continuable solutions of (1.1) y″+q(t)y′+p(t)f(y)=0 are oscillatory. No explicit sign assumptions are made on p(t) although certain integral conditions are assumed to hold with regard to f(y), p(t) and q(t). Examples are given of the form p(t) = λ/tμ + (βsint)/tα, λ, β, μ, α>0.
KeywordsDifferential Equation Integral Condition Nonlinear Differential Equation Continuable Solution Oscillation Criterion
- P. Hartman,Ordinary Differential Equations, Wiley, New York, 1964.Google Scholar