Nonexistence of positive solutions of quasilinear differential equations

Authors:
Hong Huei-Lin;Wong Fu-Hsiang;Yeh Cheh-Chih
Affiliations:
Department of Mathematics, National Central University Chung-Li, 32054, Taiwan, R.O.C.;Department of Mathematics and Science, National Taipei Teacher's College 134, Ho-Ping E. Road, Sec. 2, Taipei, 10659, Taiwan, R.O.C.;Department of Mathematics, National Central University Chung-Li, 32054, Taiwan, R.O.C.
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1997

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Abstract

Consider the following quasilinear differential equation: (|u'(t)|^p^-^2 u'(t))' + f(t, u(t)) = 0, a 1, (E) subject to one of the following boundary conditions: u(a) = u(b) = 0, (BC"1) u(a) = u'(b) = 0, (BC"2) u'(a) = u(b) = 0. (BC"3) Under suitable conditions on f(t,u), we obtain the nonexistence of solutions of (E) with respect to (BC"i), i = 1, 2, 3.