Samir H. Saker: Some new disconjugacy criteria for second order differential equations with a middle term, p.109-120

Abstract:

In this paper, for a second order differential equation with a middle term, we will establish some new criteria for disconjuagcy on an interval $I$, i.e., any nontrivial solution of the equation has at most one zero on this interval. We, also establish some sufficient conditions for disfocality and obtain a lower bound for an eigenvalue of a boundary value problem. Some examples are considered to illustrate the main results.

Key Words: Oscillation Nonoscillation, Disconjugacy, Disfocality, Opial Inequalities, Wirtinger inequalities, differential equations.

2000 Mathematics Subject Classification: Primary: 34B05;
Secondary: 34B60, 34K11, 34C10.

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