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- W2045843758 abstract "Abstract A limit-point criterion is proved by the method of inequalities for differential expressions of the form where the coefficients are matrix-valued and L is symmetric or J-symmetric. In the symmetric case the assumptions imply that some or all real polynomials in L are also limit-point. One of the main theorem is indeed formulated as an interval type criterion, but it is neither assumed that the sub-intervals are mutually disjoint nor that certain auxiliary functions vanish at the endpoints of the subintervals. Applications of the main results yield generalizations of a umber of known criteria, for example sow of those obtained by Hinton [15,16], Atkinson [2] and Evans and Zettl [6,7]. Also some kind of integrable perturbations of the coefficients can be dealt with and so some of the results of [25], which were proved by asymptotic methods, follow from the main theorem. Finally a criterion with positive supporting coefficients is derived. Such results were proved up to now by perturbation method only [19.22]." @default.
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- W2045843758 date "1988-01-01" @default.
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- W2045843758 title "LIMIT-POINT CRITERIA FOR SYMMETRIC AND J-SYMMETRIC QUASI-DIFFERENTIAL EXPRESSIONS OF EVEN ORDER WITH A POSITIVE DEFINITE LEADING COEFFICIENT" @default.
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- W2045843758 doi "https://doi.org/10.1080/16073606.1988.9631949" @default.
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