Oscillation criteria for forced second-order quasi-linear differential equations
نویسندگان
چکیده
منابع مشابه
Oscillation Criteria for Second-order Linear Differential Equations^)
where p(x) is a continuous positive function for 0<x< oo. Equation (1) is said to be nonoscillatory in (a, oo) if no solution of (1) vanishes more than once in this interval. Because of the Sturm separation theorem, this is equivalent to the existence of a solution which does not vanish at all in (a, oo). The equation will be called nonoscillatory—without the interval being mentioned —if there ...
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Sufficient conditions for oscillation and nonoscillation of second-order linear equations are established. 1. Statement of the Problem and Formulation of Basic Results Consider the differential equation u′′ + p(t)u = 0, (1) where p : [0, +∞[→ [0, +∞[ is an integrable function. By a solution of equation (1) is understood a function u : [0,+∞[→] − ∞, +∞[ which is locally absolutely continuous tog...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2007
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2006.05.005