NONEXISTENCE OF POSITIVE SOLUTIONS OF QUASI-LINEAR DIFFERENTIAL-EQUATIONS

Authors
HONG HL WONG FH YEH CC
Citation
Hl. Hong et al., NONEXISTENCE OF POSITIVE SOLUTIONS OF QUASI-LINEAR DIFFERENTIAL-EQUATIONS, Mathematical and computer modelling, 26(5), 1997, pp. 1-8
Citations number
12
Categorie Soggetti
Mathematics,Mathematics,"Computer Science Interdisciplinary Applications","Computer Science Software Graphycs Programming
Journal title
Mathematical and computer modelling → ACNP
ISSN journal
08957177
Volume
26
Issue
5
Year of publication
1997
Pages
1 - 8
Database
ISI
SICI code
0895-7177(1997)26:5<1:NOPSOQ>2.0.ZU;2-T
Abstract
Consider the following quasilinear differential equation: (E) (\u'(t)\ (p-2)u'(t))' + f(t,u(t)) = 0, a < t < b, p > 1, subject to one of the following boundary conditions: (BC1) u(a) = u(b) = 0, (BC2) u(a) = u'( b) = 0, (BC3) u'(a) = u(b) = 0. Under suitable conditions on f(t, u), We Obtain the nonexistence of solutions of (E) with respect to (BCi), i = 1, 2, 3.