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A singular Homann differential equation
Author(s) -
Agarwal R.P.,
O'Regan D.
Publication year - 2003
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200310048
Subject(s) - mathematics , singular solution , boundary value problem , mathematical analysis , nonlinear system , differential equation , singular value , pure mathematics , physics , eigenvalues and eigenvectors , quantum mechanics
General existence criteria are presented for the boundary value problem y ″ + qf ( t , y , y ′) = 0, 0 < t < 1, with ‐ ay (0) + by ′ (0) = c 0 and y (1) = 0. Our nonlinearity f may be singular at y = 0.