In:
Journal of Applied Mathematics and Stochastic Analysis, Hindawi Limited, Vol. 13, No. 1 ( 2000-01-01), p. 41-50
Abstract:
New conditions of solvability based on a general theorem on the calculation of the index at infinity for vector fields that have degenerate principal
linear part as well as degenerate next order terms are obtained for the 2 π -periodic problem for the scalar equation x ″ + n 2 x = g ( | x | ) + f ( t , x ) + b ( t ) with bounded g ( u ) and f ( t , x ) → 0 as | x | → 0 . The result is also applied to the solvability of a two-point boundary value problem and to resonant problems for equations arising in control theory.
Type of Medium:
Online Resource
ISSN:
1048-9533
,
1687-2177
DOI:
10.1155/S1048953300000058
Language:
English
Publisher:
Hindawi Limited
Publication Date:
2000
detail.hit.zdb_id:
2583090-9
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