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On oscillation criteria for self-adjoint linear differential equation of the fourth order. (English) Zbl 0719.34055

The authors study the selfadjoint differential equation \((1)\quad (r(x)y'')''+q(x)y=0,\) where \(p(x)\in C^ 2(I)\), q(x)\(\in C(I)\), \(p(x)>0\), \(x\in I=(a,b)\), \(-\infty \leq a<b\leq \infty\). They prove new sufficient conditions under which the equation (1) is oscillatory at b. These conditions do not require sign restrictions on the function q(x).

MSC:

34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34A30 Linear ordinary differential equations and systems
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