Open AccessMultiple Solutions for a System of $(n_i, p_i)$ Boundary Value Problems
Author(s) -
Patricia J. Y. Wong,
Ravi P. Agarwal
Publication year - 2000
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/964
Subject(s) - value (mathematics) , mathematics , boundary value problem , mathematical analysis , statistics
We consider the system of boundary value problems u (ni) i (t) + fi(t, u1(t), . . . , um(t)) = 0 u (j) i (0) = 0 u (pi) i (1) = 0 9 >= >; for t ∈ [0, 1], i = 1, . . . , m and 0 ≤ j ≤ ni−2 where ni ≥ 2 and 1 ≤ pi ≤ ni−1. Several criteria are offered for the existence of single and twin solutions of the system that are of fixed signs.
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