In:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Cambridge University Press (CUP), Vol. 85, No. 3-4 ( 1980), p. 233-245
Abstract:
For a certain class of first order systems of differential equations several theorems are derived which give sufficient conditions for an appropriate sesquilinear form to be identically zero on suitable spaces of solutions of the system. As a consequence for second order systems limit-point criteria are obtained which include rather general criteria in the case of second order equations. The method used involves sequences of auxiliary functions and is most expedient for the proof of interval limit-point criteria. The theory is also applicable to second order equations with complex coefficients yielding sufficient conditions for the existence of solutions which are not of integrable square.
Type of Medium:
Online Resource
ISSN:
0308-2105
,
1473-7124
DOI:
10.1017/S0308210500011823
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
1980
detail.hit.zdb_id:
209230-X
detail.hit.zdb_id:
2036780-6
SSG:
11
