Titlebook: Oscillation Theory of Two-Term Differential Equations; Uri Elias Book 1997 Springer Science+Business Media Dordrecht 1997 Boundary value p

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相信

Comparison of Boundary Value Problems,llowing simple result for second order equations motivates our study. Consider the second order equation . with . > 0. Here ... = ... = .′ and . = 1 is the only admissible integer. The conjugate point bvp, in fact the (1,1)-conjugate bvp, is . and the focal point bvp is

sparse

Solutions on an Infinite Interval,ation when its domain of definition ends with a singular point. For simplicity we shall consider the interval [.,∞), however, similar results hold on an interval [.,ω), when the equation has a suitable singularity at . and solutions may oscillate on [.,.).

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Disconjugacy and its Characterization,s characterization serves as a basis to a large number of necessary conditions and sufficient conditions for (.)-disfocality. For (.)-disconjugacy the situation is quite different. Our study is less systematic and each result is proved by some ad hoc method.

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978-90-481-4806-6Springer Science+Business Media Dordrecht 1997

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ANNUL

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MIRTH

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Disfocality and its Characterization,Among all boundary value functions, the (.)-focal point is most easily treated thanks to the characterization of (.)-disfocality by a naturally arising set of inequalities.