Principal Pairs for Oscillatory Second Order Linear Differential Equations1
نویسندگان
چکیده
Nonoscillatory second order differential equations always admit “special”, principal solutions. For a certain type of oscillatory equation principal pairs of solutions were introduced by Á. Elbert, F. Neuman and J. Vosmanský, Diff. Int. Equations 5 (1992), 945–960. In this paper, the notion of principal pair is extended to a wider class of oscillatory equations. Also an interesting property of some of the principal pairs is presented that makes the notion of these “special” pairs more understandable.
منابع مشابه
Principal Pairs for Oscillatory Second Order Linear Differential Equations
Nonoscillatory second order differential equations always admit “special”, principal solutions. For a certain type of oscillatory equation principal pairs of solutions were introduced by Á. Elbert, F. Neuman and J. Vosmanský, Diff. Int. Equations 5 (1992), 945–960. In this paper, the notion of principal pair is extended to a wider class of oscillatory equations. Also an interesting property of ...
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تاریخ انتشار 2005